Between the Standard Form of Building Contract and New Engineering Contract,
(a)Outline the differences in project controls on -
i. Time;
ii. Cost;
iii. Quality; and
iv. Parties' interests.
(b) Discuss the principal differences in approaches on contract control such as substantive and procedural entitlements.

Answers

Answer 1

The Standard Form of Building Contract (SBC) and the New Engineering Contract (NEC) are the two most widely used building contracts in the UK.

Time: In the SBC, project controls in terms of time may be tracked using progress reports or programmed, and time is often referred to as the contract period.

Cost: In the SBC, project controls in terms of cost are often administered via periodic payments made to the contractor based on a pre-determined schedule of payments or stage payments.

Quality: In terms of quality, the SBC necessitates compliance with specifications and tolerances specified in the contract, whereas the NEC emphasizes the contractor's obligation to provide work of the requisite standard to accomplish the works' outcomes.

Parties' interests: The SBC's project controls are often weighted in the employer's favor, with little power given to the contractor, while the NEC provides greater flexibility in decision-making and negotiation between the parties.

Substantive Entitlements: These are the rights given to the parties under the contract and will be related to a party's entitlement to payment or the ability to terminate the contract. This is to ensure that both parties receive a fair deal.

Procedural Entitlements: These are procedures that need to be followed in the event of a dispute or disagreement over the contract's substantive terms.

SBC and NEC have their differences in terms of project control, and they are both commonly used building contracts in the UK.

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Related Questions

The standard Lotka-Volterra equations for predator-prey systems are dN N =rN (1 - K - G₁NP₁ - ₂NP₂ dP₁ =&C₁NP₁-Z₁P₁ dt dP₂ == & C₂NP₂-Z₂P₂ dt where r is population growth rate for the prey, K is the prey's carrying capacity, C₁ and C₂ are the consumption rate for two different predator populations with number densities P₁ and P₂ that both consume the prey population, & is the efficiency of converting prey biomass into predator biomass, Z₁ and Z₂ are the intrinsic mortality rate for the two predator species respectively, and N is the number density of the prey species. a. Write down the interaction matrix, A, for this system. What is the network diagram for this set of equations? b. Find the fixed points of the system. How many are nontrivial (i.e., not all species have zero abundance)? c. What is the Jacobian for the system evaluated at a fixed point where the P₂ predator is not zero and thus not extinct? d. Is the Trace always positive or always negative or does it depend on the parameter values? Based on your answer to problem 2 for how the Trace relates to the stability of the system, interpret how each parameter contributes to the sign of the trace and argue how this makes biological sense in terms of whether the system will return to this fixed point. e. If the P₂ species is not a predator but instead is a mutualist species with the prey so that it benefits the prey and the prey benefits it, how would you modify the above equations to account for this?

Answers

a. Interaction Matrix: The interaction matrix, A, is given by:  which can be simplified to

[tex]-C_2N\\C_1\cdot & Z_1-C_2\cdot \end{bmatrix}\][/tex]

Network Diagram: The network diagram for this system is a two-species, three-population food chain where species 1 is preyed upon by species 2 and species 3, and species 3 preys on species 2.

b. Fixed Points: The fixed points of the system are given by:  \[tex][\begin{bmatrix}r-C_1N& -C_2N\\C_1\cdot & Z_1-C_2\cdot \end{bmatrix}\cdot \begin{bmatrix}N\\P_1\end{bmatrix} = 0\][/tex]The nontrivial fixed points, where not all species have zero abundance, occur when either N = 0 and P1 = 0 or N = Z2/C2 and P1 =[tex](r - C1Z2/C2)/(C1Z1/C2 - Z1[/tex]).

c. Jacobian: The Jacobian for the system evaluated at a fixed point where the P2 predator is not zero and thus not extinct is given by:  \[tex][\begin{bmatrix}r-C_1N-\frac{C_2NP_2}{N+K}& -C_2N\\C_1P_1& Z_1-C_2P_1\end{bmatrix}\][/tex]

d. Trace of the Jacobian: The Trace is always negative, as it is equal to[tex]r - Z1 - C1P1 - C2P2 - 2C2N/(N + K)[/tex]. The parameters r and K contribute positively to the Trace, while the remaining parameters contribute negatively. This makes biological sense because, if all populations are at equilibrium.

e. Modification for mutualistic species: If P2 is a mutualist species that benefits the prey and is benefited by the prey, the above equations can be modified to account for this by adding a term to the prey's growth rate that is proportional to both N and P2: [tex]\[\frac{dN}{dt} = rN\left(1-\frac{N}{K}-C_1P_1-\frac{C_2P_2}{N+K}\right)+aNP_2\][/tex]where a is a parameter that determines the strength of the mutualistic interaction.


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What is the MINIMUM roof covering classification for type V-A construction?

Class I
Class II
Class A
Class B

Answers

The minimum roof covering classification for type V-A construction is Class A.

Type V-A construction is the most combustible of all construction types and is made up of wood frame walls, floors, and roof. The types of roof coverings suitable for use in type V-A construction vary depending on the construction type. It is critical to use the correct roofing materials and methods to maintain a fire-resistant roof covering. Class A roof coverings are the highest-rated roof coverings. Class A roof coverings provide the highest degree of fire resistance. They're intended to resist severe exposure to fire, which is useful in structures that are at risk of catching fire. Roofing materials that are rated Class A include concrete or clay tiles, metal roof shingles, and asphalt fiberglass composition shingles. As we can see above, the minimum roof covering classification for type V-A construction is Class A.

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A column 300 x 300 mm supports a dead load of 961 kN and a live load of 769 kN. The allowable soil bearing pressure is 260 kPa. The base of the footing is 1.6 m belov the grade. Assume weight of concrete is 23.4 kN/m³ and that of soil is 18.2 kN/m³. Total depth of footing is 577 mm and has an effective depth of 462 mm. Determine the dimension of the square footing in meters "m". Tip: avoid rounding off the values during the solution, use shift store function of calculators to get the correct answer in 3 decimal places. Note: Input the exact value/dimension in 3 decimal places.

Answers

In order to determine the dimension of the square footing in meters, we need to solve the given problem. Given:A column 300 x 300 mm supports a dead load of 961 kN and a live load of 769 kN. The allowable soil bearing pressure is 260 kPa. The base of the footing is 1.6 m below the grade.

Assume the weight of concrete is 23.4 kN/m³ and that of soil is 18.2 kN/m³. Total depth of footing is 577 mm and has an effective depth of 462 mm.Formulae used: Bending moment, M = wl²/8Here, w = load, l = dimension (on each side) of the footing in meters For a square footing, the dimension will be same on each side For balanced reinforcement, depth of footing = (0.5*√(l²+M/0.138))-0.5*l

Width of footing, B = lLet us calculate the width of the footing, B = l= 300 mmConvert into meters: 300/1000 = 0.3 mLet us calculate the weight of the footing, Weight of footing = (18.2-23.4) * Volume of footing= -5.2 * 0.3 * 0.3 * 0.577 = -0.1008952 kN.

For a square footing, the load from the column is divided equally between the four legs of the footing. Thus, the load per leg of the footing = (961+769)/4= 432.5 kN Let us calculate the bending moment, M = wl²/8= 432.5 * l² /8For a safe design, we assume that all the weight of the footing is acting at the bottom-most point.

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1. An amortization schedule details how loan payments are divided between interest and principal and how the principal is reduce over time a. True b.False 2. Listen For a home building company that receives a single payment at the completion of the project, the maximum cash requirement occurs just before the payment is received a.True b. False

Answers

1. True An amortization schedule details how loan payments are divided between interest and principal and how the principal is reduced over time.

The schedule is a table that shows the balance of the loan at the beginning of each period, the total payment amount, the portion of the payment that goes toward interest, the portion that goes toward principal, and the balance of the loan at the end of the period.

The amortization schedule allows borrowers to see exactly how much they will pay in interest over the life of the loan and how much they will owe at any point in time.2. True For a home building company that receives a single payment at the completion of the project, the maximum cash requirement occurs just before the payment is received.

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Q) Discuss the problems and effects that can occur as a result
of water and groundwater flow in geotechnical engineering. (10
marks)

Answers

Water and groundwater flow in geotechnical engineering can lead to a variety of problems and effects.

Problems: Structural damage: Water and groundwater flow can cause soil erosion, leading to the loss of soil particles and structural damage to buildings, roads, and other infrastructure.

Flooding: Water accumulation from excessive groundwater flow can cause flooding, which can result in property damage, loss of crops, and even loss of life.

Frost heave: When soil freezes, water expands and causes frost heave. This can result in structural damage and instability.

Migration of contaminants: Groundwater flow can transport contaminants such as oil and chemicals over long distances, leading to pollution of water sources.

Waterlogging: Water accumulation in soil due to groundwater flow can lead to waterlogging, which can have negative impacts on agriculture, forestry, and wildlife habitats.

The occurrence of water and groundwater flow can lead to several problems and effects such as structural damage, soil deformation, flooding, migration of contaminants, subsidence, and waterlogging. It is important to have proper measures in place to manage and control water and groundwater flow in geotechnical engineering.

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Annotate each sketch. Write up a short description of the commands used to generate the geometry. Explain what was required, how you accomplished it and comment on the results. Use third person passive voice Use capital bold fonts for the system commands. Try making these parts on your own. They can be constructed using the tools we have introduced so far. Don't worry about the exact dimensions, just sketch shapes that look something like the parts shown below. Hints: 1. Sketch an " L " shape on the workplane. 2. Extrude. 3. Sketch a circle. 4. Extrude, cutout. 5. Repeat 3 and 5 on other face. Hints: 1. Sketch block, Extrude. 2. Sketch in place on any face. 3. Sketch a circle. 4. Extrude, cutout. 5. Repeat 2 and 3 on other face. Hints: 1. Sketch an outer shape on the workplane, including the "feet". 2. Sketch cutout shape place. Extrude both boundaries. 3. Sketch in place on angled face. 4. Sketch large circle and 4 smaller ones. 5. Extrude, Cutout, picking all 5 circles. 6. Check length of arrow on Extrude. Sketch in place of top of foot, draw a rectangle to cut out between feet, sketch circles. Exturde, Cutout 7. Extrude, cutout. 8. Repeat 2 and 3 on other face.

Answers

The task involves annotating and describing the commands used to generate geometry for three different parts. The parts are created using basic tools and techniques, including sketching shapes, extruding, cutting, and repeating steps on different faces.

The goal is to create parts that resemble the ones shown in the sketches, without worrying about precise dimensions. The commands used are written in third person passive voice and highlighted in capital bold fonts.

For the first part, an "L" shape is sketched on the workplane and then extruded to create a three-dimensional object. A circle is sketched and extruded, and then a cutout is performed. This process is repeated on another face.

For the second part, a block is sketched and extruded. Then, a sketch is created in place on any face, followed by sketching a circle. The circle is extruded and cutout, and this sequence is repeated on the other face.

For the third part, an outer shape with "feet" is sketched on the workplane. A cutout shape is sketched in place, and both boundaries are extruded. A sketch is made in place on an angled face, and a large circle and four smaller ones are sketched. These circles are then extruded and cutout. The length of an arrow on an extrude is checked. Another sketch is created in place at the top of the foot, and a rectangle is drawn to cut out between the feet. Circles are sketched, and an extrude and cutout operation is performed. Finally, extrude and cutout are repeated, and steps 2 and 3 are repeated on the other face.

The described commands and techniques help in creating the desired geometry for each part, resembling the sketches provided. The process involves sketching, extruding, and cutting to shape the parts accordingly.

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Concealed spaces are allowed in: O Roofs O Floors O Concealed spaces are allowed in floors and roofs O Concealed spaces are never allowed in roofs or floors

Answers

Concealed spaces are allowed in floors and roofs. Concealed spaces are those that are enclosed or hidden from view by different structural elements such as walls, floors, and ceilings.

These areas are commonly used for a variety of purposes, including storing utility equipment, housing ductwork and piping, and providing access to electrical and mechanical systems. Concealed spaces are generally considered safe if they are designed, constructed, and maintained in accordance with applicable building codes and standards.

Roofs are one of the building areas where concealed spaces can be permitted. Roofs of various types can include a variety of concealed spaces, such as those in between the roofing and the insulation layers or those concealed by metal roofing sheets or tiles.

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Define the Economics which are related with consumption, and name the data required to prepare the cost estimate.

Answers

Economics related to consumption is also known as consumer economics, which is concerned with the ways in which households allocate their resources, including time and money, in the satisfaction of their wants and needs.

This branch of economics deals with the problems of resource allocation among consumers with limited resources. It attempts to provide an understanding of the consumer’s decision-making process when choosing between different goods and services. The data required to prepare the cost estimate are as follows:

1. Price data: The price data is the cost of inputs and other resources required to produce the product or service that is being analyzed.2. Historical data: This data is used to determine past trends and patterns that may help in forecasting future demand and costs.

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If a one-story F-2 building is surrounded and adjoined by public ways 65' in width the area is limited to:
a. 100 sq ft
b. 200 sq ft
c. The area is not limited
d. 200,000 sq ft
e. 2000 sq ft

Answers

When an F-2 building is surrounded and adjoined by public ways 65' in width, the area is limited to 2000 sq ft. F-2 building means an F occupancy building that is used for the storage and moderate hazard use of materials that are not included in other occupancy classifications. What is F-2 building An F-2 occupancy is an occupancy used for storage and moderate hazard use of materials that are not included in other occupancy classifications.

Such occupancy requires that the aggregate quantity of nonflammable or low flammable aerosol products in storage must not exceed 25 lb (11 kg) in a single smoke compartment of any size. All of the following conditions must be met for F-2 occupancy classification: In an F-2 occupancy, no materials in storage are defined as Class I or Class II water-reactive solids.

All solid materials in an F-2 occupancy that are stored on shelves must be located at least 2 inches (50 mm) away from walls.

In an F-2 occupancy, the maximum quantity of materials in storage must not exceed 1000 pounds (454 kg) per 100 square feet (9.29 m2) of storage area in any single smoke compartment, not including shelving.

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Would the construction of a dam to alleviate Nelson Mandela Bay's water crisis, which must be completed by the end of 2022 and for a budget of R950m, be considered a "project"? Motivate your answer.

Answers

The construction of a dam to alleviate Nelson Mandela Bay's water crisis would be considered as a project. A project is a set of interrelated tasks carried out to achieve a particular goal or objective.

In other words, it is a temporary endeavor that is executed to deliver a unique product, service, or outcome. The construction of the dam meets the criteria of a project since it involves a set of interrelated tasks that are aimed at achieving a specific goal.

which is to alleviate the water crisis in Nelson Mandela Bay. It is also a temporary endeavor that has a defined start and end date, and requires the allocation of resources such as time, money, and personnel to complete the tasks within a specific budget of R950m.

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1. Which foundation listed below belongs to deep foundation?
A. raft foundation;
B. pile group foundation;
C. box foundation;
D. strip foundation
2. Which special kind of soil below is widely spread in Southeast China?
A. collapsible loess;
B. laterite;
C. frozen soil;
D. soft cay
3. Which method below can be used to improve the bearing capacity of poor ground?
A. plate loading test; B. seismic forecast test; C. replacement of cushion; D. Trial pits

Answers

Deep foundation can be defined as any foundation beneath the surface of the earth that is not built by using shallow foundations. Pile group foundation is the foundation that belongs to deep foundation. In pile group foundation, multiple piles are driven into the ground to provide support to the structure that will be constructed.

The special kind of soil that is widely spread in Southeast China is laterite. Laterite is a soil type that is rich in iron and aluminum. It forms in hot and wet tropical areas where the temperature and humidity are high. Laterite is a type of soil that is rich in nutrients and is commonly used in agriculture. It is used for the construction of buildings, roads, and other infrastructure projects. It is also used in the manufacturing of bricks and tiles.

Plate loading test is a method that can be used to improve the bearing capacity of poor ground. Plate loading test is a soil test that is used to determine the strength and stability of the soil. This test is performed by placing a plate on the surface of the soil and loading it with a known weight.

The test is repeated at different locations and depths to determine the bearing capacity of the soil. This test can be used to design foundations and other structures that are constructed on poor ground.

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A 6m long simply supported beam is carrying a factored concentrated load of 500 kN acting at midspan and factored uniformly distributed load of 6.921 kN/m. The beam is 300mm wide and has a total depth of 700mm. It is reinforced at the bottom side with 3 - 32mm diameter bars. Compressive strength of concrete is 27.60 MPa. Tensile strength of bars is 276 MPa and steel covering up to tensile reinforcement is 70mm. Required:
a. Shear strength provided by the concrete using detailed calculation b. Spacing of stirrups if the diameter of the stirrups is 10mm.

Answers

a. Shear strength provided by the concrete using detailed calculationThe factored concentrated load on the beam is 500 kN and factored uniformly distributed load is 6.921 kN/m. The total length of the beam is 6 m. The width of the beam is 300 mm and the total depth is 700 mm. The beam is reinforced at the bottom side with 3 - 32 mm diameter bars. The compressive strength of concrete is 27.60

MPa and the tensile strength of bars is 276 MPa. The steel covering up to tensile reinforcement is 70 mm. To calculate the shear strength provided by the concrete, we need to first find the ultimate shear strength. The ultimate shear strength of the concrete, Vc is given by;Vc=2.8√f'c bdWhere, f'c is the compressive strength of concrete, b is the width of the beam, and d is the effective depth of the beam.

The effective depth of the beam is given by;d = h - (cover + bar diameter / 2)Where, h is the total depth of the beam and cover is the steel covering up to tensile reinforcement. Substituting the given values;h = 700 mm cover = 70 mm bar diameter = 32 mm d = 700 - (70 + 32 / 2) = 581 mm Substituting these values in the formula for Vc;Vc = 2.8 √27.60 × 10^6 × 0.3 × 581 = 4,402.15 kN.

The shear strength provided by the concrete, Vn is given by;Vn = 0.75 Vc Substituting the value of Vc;Vn = 0.75 × 4,402.15 = 3,301.61 kN Therefore, the shear strength provided by the concrete is 3,301.61 kN.b. Spacing of stirrups if the diameter of the stirrups is 10mmThe diameter of the stirrups is 10 mm. The spacing of the stirrups can be found using the formula ;av = (0.87fyAs)/(0.4bvd) Where, av is the spacing of stirrups, fy is the tensile strength of bars.

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(c) In a region of the channel a sluice gate is installed with an aperture a = 0.5m and a contraction
coefficient (of the vena contracta) of 0.6: (i) calculate the flow depth upstream the sluice gate (y); [points: max 2.5] (ii) calculate the flow depth downstream the sluice gate (2); [points: max 2.5] (iii) calculate the velocity and the Froude number for y₁ [points: max 2.5] (iv) calculate the velocity and the Froude number for y₂ [points: max 2.5]

Answers

Sluice gate: A sluice gate is a water channel control that is used in water management systems. It is commonly made of steel, wood, or concrete and may be operated manually or automatically by a machine.

The coefficient of contraction is the ratio of the smallest cross-sectional area of the flow stream at the vena contract a to the actual area of the orifice opening. Since there is no height above the datum, z = 0.

the total head is given by
[tex]h = y + (v²)/(2g).At point 1, h = y₁ + (v₁²)/(2g)[/tex]....

at point 2, [tex]h = y₂ + (v₂²)/(2g)[/tex]....

[tex]A_vc = Cc × a²[/tex]. ….

The mean velocity of flow in the vena contracta is given by,
[tex]v = Q/A_vc.[/tex]

[tex]v₂² - v₁² = 2g(y₁ - y₂).[/tex]….

[tex]Q²/(A_vc)² - Q²/(a²)² = 2g(y₁ - y₂).[/tex]

[tex]Q²/(Cc × a²)² - Q²/(a²)² = 2g(y₁ - y₂).[/tex]
[tex]y₁ - y₂ = (Q²/Cc²) × (1/a⁴ - 1/a²) / (2g).[/tex]
[tex]y₁ - y₂ = (0.6² × Q²) / (0.5⁴ × 2 × 9.81) = 0.0584 Q².[/tex]….

Calculation of flow depth downstream the sluice gate (y₂):
The flow depth downstream the sluice gate is given by
,[tex]y₂ = y₁ - 0.0584 Q²[/tex]. ….

Calculation of velocity and the Froude number for y₁:
The mean velocity of flow in the vena contracta is given by[tex],v = Q/A[/tex].

[tex]F₂ = (Q/0.15) / √[g(y₂ + Q²/(2g × 0.15²))].[/tex]

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A beam 300 mm wide x 450 m deep is simply supported on a span of 6.0 m.
Given:
Superimposed uniformly distributed:
Dead Load 16 kN/m
Live Load 18 kN/m
Concrete, fc 30 MPa
Steel yield strength, fy= 415 MPa
Modulus of Elasticity Steel 200 GPa
Unit weight of concrete = 23.5 kN/m²
Depth to the centroid of tension reinforcement = 64 mm from the bottom
Compute the nominal bending capacity of the section if the tension reinforcement consists of 3-25 mm dia. bars. (kN-m)
Tip: avoid rounding off the values during the solution, use shift store function of calculators to get the correct answer in 3 decimal places.

Answers

Nominal bending capacity of the section The nominal bending capacity of the section can be calculated using the below-given steps:   Step 1: Calculation of effective depth Effective depth of the beam is given by: d = overall depth - (diameter of bars + clear cover) = 450 - (25 + 64) = 361 mm.

Step 2: Calculation of steel areaA rea of steel, Ast = π/4 × d² × number of barsAst = π/4 × (25)² × 3Ast = 1472.55 mm²

Step 3: Calculation of maximum bending moment Maximum bending moment is given by;Mmax = Wl² / 8Mmax = (16+18) × 6² / 8Mmax = 81 kN-m

Step 4: Calculation of limiting depth of the neutral axis For Fe 415 grade steel, the limiting depth of the neutral axis is given by;0.48 ≤ x / d ≤ 0.67By putting the values in the above formula, we get;

0.48 ≤ x / 361 ≤ 0.67x ≤ 217.08 mm & x ≥ 241.87 mm The limiting depth of the neutral axis is between 217.08 and 241.87 mm.

Step 5: Calculation of area of steel required The area of steel required is given by;Ast = 0.87fy (x - 0.42y) / (fyd)Ast = 0.87 × 415 × (x - 0.42 × 361) / (415 × 361)Ast = 1251.28 mm²

Step 6: Calculation of moment of resistance The moment of resistance, MR is given by; MR = 0.87fyAst (d - 0.42x)MR = 0.87 × 415 × 1472.55 × (361 - 0.42 × 241.87) / 10^6MR = 319.21 kN-m.

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Question 16 5 pts (Rational method) Time of concentration of a watershed is 30 min. If rainfall duration is 15 min, the peak flow is (just type your answer as 1 or 2 or 3 or 4 or 5): 1) CIA 2) uncertain, but it is smaller than CIA 3) uncertain, but it is greater than CIA, 4) 0.5 CIA 5) 2CIA

Answers

the correct answer is option 2) uncertain, but it is smaller than CIA.The Rational Method is a commonly used tool in hydraulic design for computing peak runoff rates for various return periods and design storms on small urban watersheds.  

The formula for calculating the peak runoff is:

[tex]Q = CIA[/tex]

the time it takes a rainfall drop to travel from the furthest point in the watershed to the outlet. The time of concentration is calculated using several methods and is dependent on factors such as watershed slope, roughness, and size. The most common method used for estimating Tc is the Kirpich equation, which is:

[tex]Tc = 0.0078(L0.77)/S0.385[/tex]

To calculate the peak flow using the Rational Method, we need to know the runoff coefficient, rainfall intensity, and area of the watershed. In this question, we are given that the Tc of a watershed is 30 min and the rainfall duration is 15 min.

[tex]I = P/T[/tex]

we can calculate the peak flow using the Rational Method.

[tex]Q = CIAQ = C(0.5)A[/tex]

Therefore, we cannot determine the peak flow rate.

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1 .tell the difference between profit and cashflow 2.calculate the profit and cashflow Pachete with loans Yes 2001 Freight pertinente 4.300.000 Visage 1.500.000 depreciation 1,000,000 Intens 500,00 Capital rераутен 2.000.000 dow 3.tell the structure of cost on shipowners' account under the time-charter 4. how to improve the ship's productivity

Answers

Difference between profit and cashflow. Profit is the difference between revenue and expenses of a business, while cash flow is the actual amount of cash that flows in and out of a business.

In other words, profit is an accounting concept, while cash flow is a real concept.2. Calculation of profit and cashflow, Calculation of profit. Profit = Revenue - Expenses

= 4,300,000 - (1,500,000 + 1,000,000 + 500,000 + 2,000,000)

= -1,700,000Calculation of cash flow.

Cash flow = Profit + Depreciation

= -1,700,000 + 1,000,000

= -700,000.

Note that the profit is negative, which means that the company has not made a profit and has instead made a loss of[tex]$1,700,000[/tex].

The cash flow is also negative, which means that the company has spent more than it has earned.3. Structure of cost on shipowners' account under time charter. The cost structure on a shipowner's account under a time charter is as follows. Operating expenses (OPEX) + Voyage expenses (VOYEX) + Capital expenses (CAPEX) = Total cost.

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estimate the cost of a reinforced slab on grade 120' long 56'
wide , 6" thick nonindustrial, in Chicago

Answers

The estimated cost of a reinforced slab on grade 120' long 56' wide, 6" thick nonindustrial, in Chicago varies from $26,880 to $53,760 based on the current cost per square foot of concrete in the region.

Given data;

The length of the slab = 120 ft

The width of the slab = 56 ft

Thickness of the slab = 6 inches

To estimate the cost of a reinforced slab on grade 120' long 56' wide, 6" thick non-industrial in Chicago, we need to use the formula for estimating the cost of concrete slab;

Cost = (Area) x (Price per square foot)

Area of the slab = (Length) x (Width)

120 feet x 56 feet = 6720 square feet

Cost = (6720 square feet) x (Price per square foot)

From the given data, it can be observed that the cost of the concrete slab is not provided. However, the cost of the concrete slab can be estimated based on the current cost per square foot of concrete in Chicago. According to the Building Journal, the cost of concrete slab varies from region to region, and it can be estimated between $4.00 and $8.00 per square foot.

Therefore, the cost of a reinforced slab on grade 120' long 56' wide, 6" thick nonindustrial, in Chicago can be estimated as follows:

If the cost of the slab per square foot is $4.00, then the total cost = (6720 square feet) x ($4.00/square foot)

= $26,880.

If the cost of the slab per square foot is $8.00, then the total cost = (6720 square feet) x ($8.00/square foot)

= $53,760.

Conclusion: The estimated cost of a reinforced slab on grade 120' long 56' wide, 6" thick nonindustrial, in Chicago varies from $26,880 to $53,760 based on the current cost per square foot of concrete in the region.

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9. An irrigation engineer, in his study, was able to establish that the irrigation requirement of crop XYZ is 6.5 mm/day. If the root zone depth was estimated at 2 in. on the average, what should be be the design discharge of a canal to be able to deliver the 5-day requirement of a 10-ha farm in 24 hours?
a. 31.62 1ps
b. 47.62 Ips
c. 57.62 1ps
d. 37.622ps

Answers

The answer is option C. 57.62, Determination of design discharge In determining the design discharge of a canal for the irrigation of a 10-ha farm with a 5-day irrigation requirement.

Step 1: We are given the irrigation requirement of crop XYZ as 6.5 mm/day. The 5-day irrigation requirement is thus

[tex]6.5 × 5 = 32.5 mm[/tex].

Step 2: From the given data, we know that the farm has an area of 10 hectares.1 hectare is equal to 10,000 m².The volume of water required to irrigate this farm is equal to the product of the area of the farm and the 5-day irrigation requirement.

[tex]100,000 × 32.5 = 3,250,000 m³.[/tex]

Step 3: .The volume of water required to irrigate 1 hectare with this depth of water is [tex]254 × 10,000 = 2,540,000 litres.[/tex] Assuming the water has a density of 1 kg/L and the specific gravity is 1.

Discharge rate =[tex]2,540,000 ÷ 24 ÷ 3600 = 29.12 L/s[/tex]

Discharge rate = [tex]29.12 ÷ 1000 = 0.02912 m³/s[/tex]

Step 4: Calculation of the required discharge

= [tex]0.02912 ÷ 0.8 = 0.0364 m³/s[/tex]

The answer is rounded up to two decimal places and expressed in International system units per second. The correct option is C. [tex]57.62[/tex].

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A construction company buys a truck for $25,000. Salvage value after useful life of 5 years is $15,000. 2. Use linear depreciation. What is depreciation value for the second year? a. $14,000 b. $1200 C. $2000 d. $8000 3. Use MACRS. What is depreciation value for the third year? a. $6,400 b. $4,800 C. $4,000 d. $3,000

Answers

A construction company purchases a truck for $25,000. The truck's useful life is five years, and its salvage value is $15,000 at the end of the five-year period. Linear Depreciation: The calculation of depreciation using a straight-line depreciation method is very straightforward.

Each year, the asset will depreciate by an equal amount until it reaches the salvage value.  The truck's initial value is $25,000, and the salvage value is $15,000. Therefore, the depreciation value would be $2,000 per year for five years. Depreciation value for the second year is $2,000, which is the same as the amount calculated for the first year. MACRS Depreciation:

MACRS (Modified Accelerated Cost Recovery System) is a technique that accelerates the depreciation process for assets. Depreciation is more rapid during the first few years, and it then slows down over time. Depreciation for a period is determined by multiplying the asset's beginning-of-the-year book value by a depreciation percentage.  

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Calculate the time needed to burn Carry life particle of graphite (99.9% °C Punnits) in 12% oxygen stream if 900°c at I ate. for the high gas velocity and assumed that film diffusion does not offer any resistance Dato Radius = 12mm, bulk density = 2.49/cm³ reaction rate constant C=25cm/sec and R = 82.66 cm³ atm. Mol K​

Answers

Therefore, the time needed to burn the Carry life particle of graphite in 12% oxygen stream at 900°C is approximately 3 hours.

Calculating the time to burn Carry life particle of graphite

To calculate the time required for a particle of graphite to burn in a stream of oxygen.

The rate of reaction can be described by the following equation:

r = k * P * A

where

r is the rate of reaction,

k is the reaction rate constant,

P is the partial pressure of oxygen, and

A is the surface area of the particle.

At steady state, the rate of reaction is equal to the rate of mass transfer:

[tex]r = (4/3) * \pi * R^3 * \rho * Sh * (Cg - Cs)[/tex]

where

R is the particle radius,

ρ is the bulk density of the particle,

Sh is the Sherwood number,

Cg is the concentration of oxygen in the gas phase, and

Cs is the concentration of oxygen at the surface of the particle.

Assuming that film diffusion does not offer any resistance, the Sherwood number can be approximated as:

[tex]Sh = 2 + 0.6 * Re^(1/2) * Sc^(1/3)[/tex]

where

Re is the Reynolds number and

Sc is the Schmidt number.

Since the problem specifies a high gas velocity, we can assume that the flow is turbulent, use the following correlations for the Reynolds and Schmidt numbers

Re = (ρ * u * Dp) / μ

Sc = μ / (ρ * D)

With the given data, we can calculate the Reynolds and Schmidt numbers as

[tex]Re = (2.49 g/cm^3 * 25 cm/s * 2 * 12 mm) / (1.84 x 10^-4 g/cm s) = 1.6 x 10^6[/tex]

D = [tex]0.21 cm^2[/tex]/s (from gas phase data at 900°C)

[tex]Sc = (1.84 x 10^-4 g/cm s) / (2.49 g/cm^3 * 0.21 cm^2/s)[/tex]

≈ 3.5

To calculate the Sherwood number as

[tex]Sh = 2 + 0.6 * (1.6 x 10^6)^(1/2) * (3.5)^(1/3)[/tex]

≈ 202

Calculate the concentration of oxygen in the gas phase using the partial pressure of oxygen

P = 0.12 atm (given)

Cg = P / (R * T) = 0.12 / (82.66 [tex]cm^3[/tex] atm/mol K * 1173 K)

≈ 8.8 x [tex]10^-7 mol/cm^3[/tex]

Assume that the concentration of oxygen at the surface of the particle is zero (i.e., all of the oxygen reacts with the particle).

Substitute all of these values into the rate of reaction equation, we have:

[tex]r = (4/3) * \pi * (1.2 cm)^3 * 2.49 g/cm^3 * 202 * (8.8 x 10^-7 mol/cm^3)[/tex]

≈ 0.00083 g/s

Now, using the rate of reaction, calculate the time required for the particle to burn completely using the mass of the particle

[tex]m = (4/3) * \pi * (1.2 cm)^3 * 2.49 g/cm^3 * 0.999[/tex] ≈ 8.9 g

t = m / r ≈ 1.07 x[tex]10^4[/tex] s ≈ 3 hours

Therefore, the time needed to burn the Carry life particle of graphite in 12% oxygen stream at 900°C is approximately 3 hours.

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Q: Variations has a huge possibility of occurrence to any project, as an engineer what will you do if a variation happened?
Q: Relating conditions and warranties in a contract to express and implied terms, mention the difference between the both, covering, what do each mean with examples, and the remedies from breaching each.
Q: What are the general requirements for an acceptance in any contract? mention 6 only.
Q: How is Equitable Estoppel useful in common law? Explain using an example.

Answers

Q: Variations has a huge possibility of occurrence to any project, as an engineer what will you do if a variation happened As an engineer, there is a possibility of variations happening to any project. Variations are changes to the original scope of the project, which can affect the delivery date, budget, and quality of work done.

As such, engineers have to keep track of all the changes to ensure they do not have a significant impact on the project. Additionally, they should have a risk management plan to identify and manage any risks that may arise if variations happen to the project. In case a variation occurs, an engineer should do the following: Notify all stakeholders of the variation. Identify the impact of the variation on the project.



Q: Relating conditions and warranties in a contract to express and implied terms, mention the difference between the both, covering, what do each mean with examples, and the remedies from breaching each. Conditions and warranties are key terms in any contract that distinguish between the primary obligations and secondary obligations of the parties involved.

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What are the points of convergence of solid and hazardous waste
in the approaches to waste management in the united states?

Answers

The management of solid and hazardous waste in the United States involves the convergence of several approaches. These approaches encompass the handling, treatment, and disposal of waste materials.

The waste management approaches in the US are governed by federal laws and regulations aimed at reducing the environmental impact of waste materials and safeguarding public health. The points of convergence of solid and hazardous waste management in the United States include the following:

1. Source reduction: This approach involves the minimization of waste generation at the source. The approach aims to reduce the amount of waste materials produced by individuals, households, and businesses.

2. Recycling: Recycling is a process that involves the recovery of valuable materials from waste materials. The process helps to reduce the amount of waste materials disposed of in landfills or incinerators.

3. Composting: Composting is the biological decomposition of organic waste materials. The process results in the production of organic matter that can be used as a soil amendment.

4. Incineration: Incineration is a process that involves the burning of waste materials. The process helps to reduce the volume of waste materials and produces energy.

The convergence of these approaches helps to reduce the environmental impact of waste materials and safeguard public health.

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a Crude oil is being pumped through a long distance pipeline from an oil field in Sarir in Eastern Libya to a port at Marsa el Harlga. Sarir is at 1000m above sea level and the pipeline length is 1450km. The pipeline has a diameter of 1,2m and carries crude oil with a density of 895kg/m3 at a velocity of 0,4m/s to the port. Assuming no friction, and that the oil is stationary at the oil field, whatexcess work could be done by the oil passing through a turbine?

Answers

The excess work done by the oil passing through a turbine is 3.05 x 10⁵ W.

Given:

Height difference, h = 1000 m

Density of crude oil, ρ = 895 kg/m³

Length of the pipeline, L = 1450 km = 1450000 m

Diameter of the pipeline, d = 1.2 m

Velocity of oil, v = 0.4 m/s

To find:

Excess work done by the oil passing through a turbine.

The energy equation is given as,

E₁ + KE₁ + PE₁ = E₂ + KE₂ + PE₂

where

E = pressure energy

KE = kinetic energy

PE = potential energy

Here, the frictional losses are not given. Hence, we can assume that there are no losses of energy. Hence, the energy at A and B can be considered the same.

E₁ = E₂

and

KE₁ = KE₂

and

PE₁ = PE₂

Therefore, we can use Bernoulli’s equation to calculate the pressure difference between A and B.

i.e.,

P₁ + 1/2 ρv₁² + ρgh₁ = P₂ + 1/2 ρv₂² + ρgh₂

where

P₁ = pressure at A = Atmospheric pressure

P₂ = pressure at B

v₁ = velocity of crude oil at A = 0m/s

v₂ = velocity of crude oil at B

h₁ = height of A = 1000 m

h₂ = height of B = 0m

We know that the density of crude oil, ρ = 895 kg/m³

v₁ = 0 m/s

v₂ = 0.4 m/s

P₁ + 0 + ρgh₁ = P₂ + 1/2 ρv₂² + ρgh₂

Pressure difference,

P₂ - P₁ = ρg (h₁ - h₂) + 1/2 ρv₂²

P₂ - P₁ = 895 x 9.8 x (1000 - 0) + 1/2 x 895 x 0.4²

P₂ - P₁ = 8530200 Pa

a) When the oil passes through the turbine, the excess work done by the oil can be calculated as,

Excess work done by the oil = Work done by the oil on the turbine - Work done on the oil by the pump

Given,

Diameter of the pipe, d = 1.2 m

Velocity of the oil, v = 0.4 m/s

Hence, the volumetric flow rate of the oil,

Q = A × v

Where,

A = Area of the pipe

= π/4 × d²

= π/4 × (1.2)²

Q = π/4 × (1.2)² × 0.4

Q = 0.452 m³/s

Mass flow rate of oil, m = ρQ

= 895 x 0.452

= 404.34 kg/s

Let the pump power, P = Pp

and the turbine power, Pt

Therefore,

Excess work done by the oil = Work done by the oil on the turbine - Work done on the oil by the pump

Excess work done by the oil = Pt - Pp

For an incompressible fluid like crude oil, the power can be given as,

P = Q x ρ x g x H

P = ρQH

g = 9.8 m/s²

Therefore,

P = ρQgH

Pump work done, Pp = mgh₁

= 404.

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If the shear stress at an angle of 56 degrees
through the cross section of a timber beam (width 46
mm x breadth 46 mm) is 50
MPa, what is the axial tensile force applied in
kN?

Answers

Shear stress, τ = 50 MPaAngle of section θ = 56 degreesThe width of the timber beam = 46 mmThe breadth of the timber beam = 46 mmTo determine the axial tensile force applied in kN, we need to know the area of the cross-section of the timber beam. The area of a square cross-section is given as follows;

A = b²where;A is the area of the cross-section b is the breadth of the beam Therefore, the area of the cross-section of the timber beam is;A = 46 x 46A = 2116 mm²To convert mm² to m², we divide by 10⁶;A = 2116 / 10⁶A = 0.002116 m²Shear force in the beam;F = τ x A where;

F is the shear forceτ is the shear stress   A is the area of the cross-section  Therefore, the shear force is;F = 50 x 0.002116F = 0.1058 kNTo determine the axial tensile force applied in kN, we use the relationship between the axial tensile force and shear force as follows;    Axial force, P = F x cotθ

where;P is the axial forceθ is the angle of section Therefore, the axial tensile force applied in kN is; P = 0.1058 x cot 56°P = 0.1058 x 0.5636P = 0.0596 kN Therefore, the axial tensile force applied in kN is 0.0596 kN, to three significant figures.

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The following parameters and conditions were submitted by the municipality to your firm. Your supervisor ha asked you to design the necessary components. Assume lypical values whenever values not provided Wastewater flow to the plant - 2.0 m/s Influent concentrations - BOD5: 200 mg/L; TSS: 110 mg/l There will be two parallel and similar circular primary clarifiers having removal efficiencies of 25% for BOD5 and 60% for TSS BOD removal efficiency in the only aeration tank is 85% 65% of effluent TSS contributes to eflluent BODS TSS removal efficiency in secondary clarifier - 80% Biomass concentration in the activated sludge system is 3000 mg/I Return sludge from secondary clarifier has a MLVSS 6000 mg/L-2 For the activated sludge system, calculate the following: (i) the effluent BODS (ii) the soluble BODs concentration in the activated sludge tank (iii) the mean cell retention time (iv) the aeration basin volume required

Answers

Activated sludge system is the process of treating wastewater in the presence of bacteria. The bacteria consume organic matter in the wastewater, and it is used to treat the wastewater.

Here, the following parameters and conditions are given: Wastewater flow to the plant - 2.0 m/s Influent concentrations - BOD5: 200 mg/L; TSS: 110 mg/l Two parallel and similar circular primary clarifiers having removal efficiencies of 25% for BOD5 and 60% for TSS.

BOD removal efficiency in the only aeration tank is 85% 65% of effluent TSS contributes to effluent BODS TSS removal efficiency in the secondary clarifier is 80% Biomass concentration in the activated sludge system is 3000 mg/I Return sludge from the secondary clarifier has a MLVSS 6000 mg/L-2.

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Q: What are the four common allegations against defective work?
Q: What are the elements to an agreement? Name and explain them.
Q: There are two ways to start a mediation process, what are they? and explain the outcomes of each.
Q: What are some advantages of an alliance contracting type? mention 4 only.

Answers

Q: What are the four common allegations against defective work The four common allegations against defective work include: Design deficiencies: Design deficiencies often occur when a contractor or subcontractor fails to identify a problem with the plans or specifications.

If the contractor doesn't fix the issue or address it with the project owner, it can lead to major construction defects. Construction deficiencies: These are caused by subpar workmanship, use of low-quality materials, and construction methods that do not meet regulatory requirements. Subsurface deficiencies:

These include problems with soil, drainage, and issues related to site conditions, such as rock formations, groundwater, or unexpected underground infrastructure. Failure to meet contractual requirements: This includes cases where the contractor has failed to meet the agreed-upon terms and specifications of the contract.

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(30 pts.) You are tasked with optimizing a methanol combustion chamber, and thus need to determine what your current product stream looks like. You are provided the following notes from a colleague who recently moved to another position: The reactor inlet contains 75 mol/h methanol and 65% excess O 2. Both complete and incomplete combustion occur in the reactor. A methanol conversion of 72% has been observed in previous analyses of this chamber, and it is expected that 82% of the methanol reacted forms CO2. Using the atomic species approach, determine the outlet molar flowrates of all species exiting the reactor.

Answers

The outlet molar flow rates from the reactor are:

CO2 = 32.55 mol/h

CO = 8.97 mol/h

H2O = 12.88 mol/h

The reaction equation for the complete combustion of methanol is:

CH3OH + 1.5 O2 → CO2 + 2 H2O

and for incomplete combustion, it is:

CH3OH + xO2 → CO + H2O

Methanol is commonly used as a primary hydrocarbon feed in various synthesis processes. To optimize a methanol combustion chamber, it is necessary to determine the current product stream.

In this particular case, the reactor inlet contains 75 mol/h of methanol with 65% excess O2. The methanol conversion rate is 72%, and 82% of the reacted methanol forms CO2.

Applying the atomic species method, the mole balances for each of the elements involved in the combustion reaction can be written as follows:

C: 1(CH3OH) + 1/2(3O2) → 1(CO2) + 0.5(2H2O) + x(CO)

H: 4(CH3OH) + 2(3O2) → 0(CO2) + 2(2H2O) + x(CO)

O: 2(3O2) → 2(CO2) + x(CO)

There are three unknowns (the number of moles of CO, CO2, and H2O formed) and three equations. By solving these equations, the molar flow rates of each species leaving the reactor can be determined.

Using a solver, the outlet molar flow rate of CO2 is calculated to be 32.55 mol/h, the outlet molar flow rate of CO is 8.97 mol/h, and the outlet molar flow rate of H2O is 12.88 mol/h. Therefore, the outlet molar flow rates of all species leaving the reactor are as follows:

CO2 = 32.55 mol/h

CO = 8.97 mol/h

H2O = 12.88 mol/h

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Discuss the importance of knowing the optimum water content and the maximum dry density in construction projects or works.

Answers

In construction projects, it is essential to have the correct water content and the maximum dry density. When creating soil, the maximum dry density and the optimum moisture content are critical values to ensure that the soil is appropriately compacted.

When the soil is compacted, it reduces the pore space in the soil, making it denser. Soil density is essential because it affects the soil's properties such as permeability, compressibility, and strength.

Soil can have different optimum moisture contents depending on the compaction effort. The optimum moisture content can be defined as the water content that provides the maximum dry density of soil.

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(b) Conduct a dimensional analysis to obtain the pi groups required when analysing pressure drop in pipe flow systems and/explain how engineers use these dimensionless groups to analyse pipe flow systems. (c) Oil with a density of 950 kg/m³ and viscosity of 1 x 10-2 Pa.s flows through a 0.2 m diameter, 500 m long pipe on a downware incline of 1m in 50m in the flow direction. The roughness ratio of the pipe is ε/D = 0.0002 and the following flanged fittings are incorporated: one fully open swing check valve and five 90° long radius elbows.
(i) Determine the pressure differential required to pump fluid through the pipeline if the desired volumetric flow rate is 150 L/s
(ii) Determine the volumentric flow rate that would naturally result from the head difference across the pipeline alone, i.e. without any pump.

Answers

(b) Pi groups are the dimensionless parameters that are created from fundamental dimensions of the physical quantities used in describing the pipe flow systems. Dimensional analysis is an important tool for solving many engineering problems. The dimensional analysis is a technique used to reduce the number of variables in an equation.
Reynold's number (Re) = ρuD/µ
Friction factor (f) = ∆P/(1/2ρu²L/D)
Head loss coefficient (K) = ∆p/(1/2ρv²)

These dimensionless groups are used by engineers to analyze pipe flow systems. Engineers use these groups to understand the relationship between the different variables that affect the flow of fluid in a pipe.

(c) (i) We know that

Q = 150 L/s
D = 0.2 m
L = 500 m
ε/D = 0.0002
ρ = 950 kg/m³
µ = 1 x 10^-2 Pa.s
g = 9.81 m/s²
θ = 1/50


(ii) The volumetric flow rate that would naturally result from the head difference across the pipeline alone, i.e. without any pump is given by Bernoulli’s equation.

A₁ = πD₁²/4
  = π(0.2)²/4
  = 0.0314 m²

A₂ = πD₂²/4
  = π(0.2004)²/4
  = 0.0315 m²

v₁ = Q/A₁
v₂ = Q/A₂

The pressure differential required to pump fluid through the pipeline is given by:

∆P = P₁ - P₂
   = (P₁ - ρgh) - P₂

Let P₁ = P and P₂ = 0

∆P = P - ρgh

= P - 950 × 9.81 × 10
= P - 931635

P/ρ + v₁²/2g = P/ρ + v₂²/2g

P = ρg(v₂² - v₁²)/2
 = 950 × 9.81(0 - 5.96²)/2
 = -171867.6 Pa.

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4. Local content is defined as benefit brought to a host nation through a) workforce development: employment and training local workforce, and b) supplier development: procuring supplies and services locally and developing local supplier capacity. Some international forms of contract used for the procurement of construction work have local content clauses requiring a minimum percentage of the project value to reflect local content. Discuss the benefits and disadvantages of having local content clauses in a construction contract for a construction project in a developing country

Answers

Local content clauses in a construction contract for a construction project in a developing country have both benefits and drawbacks.

A local content clause is a requirement in a contract that specifies a percentage of the project value that must be given to local contractors and suppliers.Benefits of local content clauses in a construction contract include the following:1. Employment and development of local workers: Hiring locals and training them in the skills needed for the job can help to enhance their employability and development.2.

Promotion of local companies: The use of local suppliers and contractors can promote the development of local companies and businesses.3. Development of local infrastructure: The use of local resources can enhance the development of local infrastructure.

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Other Questions
On January 1, 2020, Blossom Inc. had cash and common stock of $64,110. At that date, the company had no other asset, liability, o equity balances. On January 2, 2020, it purchased for cash $20,650 of debt securities that it classified as available-for-sale. It received interest of $3,400 during the year on these securities. In addition, it has an unrealized holding gain on these securities of $6,230 net of tax. Determine the following amounts for 2020: (a) net income, (b) comprehensive income, (c) other comprehensive income, and (d) accumulated other comprehensive income (end of 2020). So to maximize profit, you want to make sure that your customers buy as many concessions as possible. You decide a bundling scheme is a good option to explore. You currently charge $6 for popcorn and $3 for candy. Market research reports show that customers who buy popcorn tend to also buy a drink. However, customers who buy popcorn tend not to buy candy and vice versa. People buy one or the other, but not both. Your plan, then, is to bundle popcorn and candy together at a discounted price to try to change the consumer behavior from buying one or the other to buying both. The question, as usual, is what price to charge to maximize demand as well as profit. Based on price discrimination and peak-load pricing, you can expect an average of 3,220 moviegoers a month. Suppose these customers are split into four groups, as follows: Group P: only buys popcorn (750 visits) Group C: only buys candy ( 750 visits) Group PC: buys both ( 420 visits) Group N: buys neither (1,300 visits) You consider offering a bundle of 1 popcorn +1 candy for $7.00. The marginal cost of candy is $0.50, and the marginal cost of popcorn is $1.00. Calculate the following bundling scenarios to figure out if you should employ this pricing scheme or not Assume Highine Company has just paid an annual dividend of $0.92. Analysts are predicting an 11.8% per year growth rate in eamings over the next five years. After then, Highine's eamings are expected to grow at the current industry average of 5.2% per year. If Highline's equity cost of capial is 7.9% per year and its dividend payout ratio remains constant, for what price does the dividend-discount model prediet Highline stock should sell? The value of Highine's stock is s (Round to the netarest cent 3) Assume the function f computes the number y in millions of people using the internet in year x. f = {(1996, 1.2), (1998, 4.3), (2000, 9.8) Evaluate f(2000) and give the domain and range of f A) f(2000) = 1.2; D: (1996, 1998, 2000), R: (1.2, 4.3, 9.8) B) f(2000) = 9.8; D: (1996, 1998, 2000), R: {1.2, 4.3, 9.8} C) f(2000) = 4.3; D: (1.2, 4.3, 9.8), R: (1996, 1998, 2000} D) f(2000) = 9.8; D: (1.2, 4.3, 9.8), R: (1996, 1998, 2000) Solve the problem. 17) Suppose A dollars is deposited in a savings account paying 7.5% interest compounded 0 continuously. After x years the account will contain A(x) = A 20.075x dollars. If $520 is initially deposited in this account, how much would be in the account after 8 years? Round to the nearest cent. A) $1359.54 B) $560.50 C) $947.50 D) $1.82 Consider the basic Solow model that we covered in class where population (labor) grows at a constant and exogenous rate, n>0, with N t+1= (1+n)N t. Moreover, the aggregate production function is of the Cobb-Douglas form: Y t=AK tN t1where (0,1) is the extent of capital intensity (or capital share of total output) and A is a constant technology parameter. Finally, the evolution equation of capital is such that: K t+1=I t+(1)K twhere K tand K t+1are the capital stocks in t and t+1, respectively, I tis gross investment, and [0,1] is the depreciation rate of capital (which is constant). i. Using (3), find a condition on investment per worker such that the economy is in the steady-state. That is, %K t=n. Briefly explain. (15 points) ii. What happens when the condition in i) above is violated? Briefly explain and illustrate the required investment line as we did in class. (15 points) c. On a new chart, illustrate the steady-state capital stock per worker. Focusing on the non-trivial steady-state (not the origin), briefly discuss the dynamical properties of the steady-state. That is, what happens to capital per worker and standard of living outside the steady-state. (15 points) a federally declared disaster area is recognized by the authority of: You are the CEO of a large technology company. Most projects in your company are conducted under team-based organisational structures. You ask your data science team to investigate whether teams with a leader perform better than teams without a leader. They find that indeed teams that have a leader are more likely to complete projects on schedule than teams without a leader.a) Based on this data, can you conclude that assigning leaders to teams would increase the performance of the teams in your company? (1 mark)b) Suppose you are interested in establishing a causal link between having a leader and team performance in your company. Describe how you might be able to use any two of the four empirical methods (randomised experiment, instrumental variable, difference-in-differences, regression discontinuity) presented in the lectures for this purpose. For each method, describe the data you would need and discuss the potential limitations/challenges of applying that method. (4 marks) During the summer of 2014, Ben Heuer, president and chief operating officer of Great Lakes Carriers (GLC), and E. Kate Weber, vice president of business development, revisited the port directors of every major port on the Great Lakes. Their objective was to seek additional business for GLCs bulk cargo division with a related objective of exploring potential demand for increased containership operations on the Great Lakes. GLC was founded in 1940 by Bens grandfather with one ship hauling coal and iron ore from the mines along the Great Lakes to the steel mills in Indiana, Ohio, and surrounding areas. Today the company has a fleet of 12 bulk vessels that move grain from the upper Great Lakes area to Chicago, Buffalo, and Erie. There is also some continued demand for bulk coal and iron ore movements. The demand for the movement of such commodities has decreased in the 21st century because of increased foreign steel production, and the railroads have increased their share of the grain movement with new, larger, hopper cars, which provide more dependable movement. GLC has developed some containership service on the Great Lakes, but the volume has been disappointing. Container traffic between the United States and the European Union can move via railroad to the port of Montreal, where it is transloaded to an oceangoing containership. Substantial NAFTA container traffic (USACanada) moves via either railroad or truck to major cities adjacent to the Great Lakes. Lastly, the area surrounding the Great Lakes is a major manufacturing region with large volumes of traffic moving among the major port cities and to inland locations. Radio Frequency Identification (RFID) technology is providing GLC with some competitive advantage for higher-value container traffic where visibility could help improve supply chain efficiency and effectiveness. Kate also believed that they could charge higher rates with RFID tags and explore the possibility of diversifying even further into logistics-related services. Ben and Kate discussed the type of vessel that would be needed to move containers and concluded that current GLC vessels could not be retrofitted for container operations. Furthermore, the new ship would have a maximum carrying capacity of about 1,000 containers because of the size limitations imposed by the locks on the Saint Lawrence Seaway. The typical oceangoing containership has a minimum carrying capacity of 2,500 containers. The proposed operation would consist of weekly sailing schedules beginning in Duluth and stopping at Chicago, Detroit, Toledo, Cleveland, Buffalo, and Montreal. Containers would be picked up and delivered at each port along the route. The transit time from Duluth to Montreal was estimated to be five to seven days, compared to four to five days by rail and two days by truck. For intermediate origindestination pairs, such as Chicago to Cleveland, the transit time was estimated to be three days, which compared favorably with railroad service; however, the truck transit time was one day. The rate for the container service was estimated to be 40 percent of the current truck rate and 75 percent of the current rail rate, but the RFID program may allow higher rates because it would be a premium service and differentiate GLC from the rail and motor carriers. The meetings with the port directors confirmed that the volume of grain and iron ore being handled by Great Lakes carriers was on the decline and the predictions for the next five years were for a continued decline. The lack of adequate containership service on the Great Lakes was also confirmed and the port directors were enthusiastic about the possibility of GLC initiating such service. They were also interested in the advantages of the RFID technology even though it would require some additional investment for them. Ben and Kate decided to delay the decision to invest in the new equipment and technology because of the economic forecasts for the Great Lakes region and related potential cash flow problems. Also, the development of new oil fields more recently with the development of fracking technology in New York, Ohio, and Pennsylvania were changing the economic landscape of the Great Lakes region. Now they were reconsidering their alternatives before moving ahead, with their plans for investment in new technology and equipment.1.What is the overall impact of the new sources of energy in the Great Lakes area? What is the likely impact on commodity flows in that area? What will be the likely impact on GLC?3. What recommendation would you make to the GLC board of directors regarding a containership operation and the possibility of new bulk shipments of oil and possibly chemicals? A monopoly is considering selling several units of a homogeneous product as a single package. Analysts at your firm have determined that a typical consumers demand for the product is Qd = 100 0.25P, and the marginal cost of production is $140.a. Determine the optimal number of units to put in a package.b. How much should the firm charge for this package? Problem 13-27 (Algo) Sell or Process Further Decisions [LO13-7]Come-Clean Corporation produces a variety of cleaning compounds and solutions for both industrial and household use. While most of its products are processed independently, a few are related, such as the companys Grit 337 and its Sparkle silver polish.Grit 337 is a coarse cleaning powder with many industrial uses. It costs $1.60 a pound to make, and it has a selling price of $7.80 a pound. A small portion of the annual production of Grit 337 is retained in the factory for further processing. It is combined with several other ingredients to form a paste that is marketed as Sparkle silver polish. The silver polish sells for $5.00 per jar.This further processing requires one-fourth pound of Grit 337 per jar of silver polish. The additional direct variable costs involved in the processing of a jar of silver polish are:Other ingredients$ 0.50Direct labor1.36Total direct cost$ 1.86Overhead costs associated with processing the silver polish are:Variable manufacturing overhead cost25% of direct labor costFixed manufacturing overhead cost (per month)Production supervisor$ 3,400Depreciation of mixing equipment$ 1,400The production supervisor has no duties other than to oversee production of the silver polish. The mixing equipment is special-purpose equipment acquired specifically to produce the silver polish. It can produce up to 2,500 jars of polish per month. Its resale value is negligible and it does not wear out through use.Advertising costs for the silver polish total $2,600 per month. Variable selling costs associated with the silver polish are 5% of sales.Due to a recent decline in the demand for silver polish, the company is wondering whether its continued production is advisable. The sales manager feels that it would be more profitable to sell all of the Grit 337 as a cleaning powder.Required:1. How much incremental revenue does the company earn per jar of polish by further processing Grit 337 rather than selling it as a cleaning powder? (Round your answer to 2 decimal places.)2. How much incremental contribution margin does the company earn per jar of polish by further processing Grit 337 rather than selling it as a cleaning powder? (Round your intermediate calculations and final answer to 2 decimal places.)3. How many jars of silver polish must be sold each month to exactly offset the avoidable fixed costs incurred to produce and sell the polish? (Round your intermediate calculations to 2 decimal places.)4. If the company sells 7,600 jars of polish, what is the financial advantage (disadvantage) of choosing to further process Grit 337 rather than selling is as a cleaning powder? (Enter any disadvantages as a negative value. Round your intermediate calculations to 2 decimal places.)5. If the company sells 11,300 jars of polish, what is the financial advantage (disadvantage) of choosing to further process Grit 337 rather than selling is as a cleaning powder? (Enter any disadvantages as a negative value. Round your intermediate calculations to 2 decimal places.)1. Incremental revenueper jar2. Incremental contribution marginper jar3. Number of jars that must be soldper month4. Financial advantage (disadvantage)5. Financial advantage (disadvantage) The following are common tests of details of balances or substantive analytical procedures for the audit of accounts receivable: 1. Select 20 customer accounts from the accounts receivable master file and trace to the aged accounts receivable listing to verify name and amount. 2. Select 20 customer accounts from the aged accounts receivable listing and trace to the accounts receivable master file for name, amount, and aging categories. 3. Prepare a bar chart showing amounts and percentages of accounts receivable in each aging category for the current and prior year and evaluate trends. 4. Obtain a list of aged accounts receivable, foot and cross-foot the list using audit software, and trace the total to the general ledger. 5. Compute accounts receivable turnover for the current year and compare to the prior year and to the industry average. 6. Perform alternative procedures on accounts not responding to second requests by examining subsequent cash receipts documentation and shipping reports or sales invoices. 7. Request 50 positive confirmations of accounts receivable. Required: a. For each audit procedure, identify the balance-related audit objective or objectives it partially or fully satisfies. b. In which order would the auditor perform the seven procedures? Briefly justify your ans Approximate the relative error in surface area when the edges of a 2x2x2 m cube are mismeasured by 2 cm. O 0.25 O 0.0025 O 0.01 01 (20) As the marketing director for company producing racing bikes and electric bikes, Phoebe Czup feels like she has hit the jackpot by combining her love of cycling with her career goals. Since joining the company, Phoebe has worked hard to reposition the brand as a lifestyle brand for high income individuals who enjoy the outdoors. Her efforts seem to be paying off. Sales are up almost 30 percent year on year and Phoebe is excited to see the impact of several new campaigns that are being run in coordination with high end hotels that target the same customer base. Which of the following statements best describe Phoebe?(A) Phoebe is a low self-monitor. (B) Phoebe is a narcissist. (C) Phoebe scores high in Machiavellianism. (D) Phoebe has a proactive personality. (E) Phoebe is a low risk-taking person. 2x - 1 3x and 8(x) = cos (2x) A/ f(x) = = Given that a) Find f(g(x)) (3 marks) b) Find f(g(6) (2 marks) Leave your answer in exact form Imagine a firm that has the following production function: Y = x1x2 Note that this implies the following marginal products (Note very carefully the sub- scripts. They are not a mistake). MP = x MP = x1 Note that this question can be tricky if you try to do it too quickly. If you are having trouble, try at least showing what is happening graphically and explain the intuition. This will get you some good part marks. a) (5 marks) Suppose the price of input 1 was equal to $5, and the price of input 2 was equal to $10. What would be the optimal inputs for this firm if it wished to produce 450 units of output? Hint use the optimality ratio from having the slope of the isocost equal the slope of the isoquant. Combine this with the production function and you should get your answers. The numbers will be nice whole numbers. b) (5 marks) Suppose the price of input 1 increased to $20. What would be the optimal inputs for this firm if it still wished to produce 450 units of output? You can use the same approach as the last question. c) (5 marks) Explain how the firm responded to this increase in price, and how its total costs changed as a result. Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, r. The characteristics of two of the stocks are as follows:StockExpected ReturnStandard DeviationA11%35%B20%65%Correlation = 1a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be substituted for the risk-free asset?) (Round your answer to 2 decimal places.)b. Could the equilibrium r be greater than 14.15%?YesNo INSTRUCTIONS: Choose the letter of the correct answer. 1. What is the order that we must consider in picking u? a. Logarithmic Function - Inverse Trigonometry Function - Trigonometric Function - Algebraic Function - Exponential Function b. Logarithmic Function - Inverse Trigonometry Function - Algebraic Function - Trigonometric Function - Exponential Function C. Inverse Trigonometry Function - Logarithmic Function - Algebraic Function - - Trigonometric Function - Exponential Function |- d. Logarithmic Function - Exponential Function - Inverse Trigonometry Function - Algebraic Function - Trigonometric Function 2. What is the formula for using Integration by Parts? a. fudv=uv-fvdu b. Sudv=uv + vdu c. Sudv=vdu - fuv d. fudv=vdu + fuv 3. Evaluate fx cosx dx a. xsinx cosxtc b. xsinx + cosx - C C. xcosx sinx + c d. xcosx + sinx + c 4. Evaluate In2x dx a. xln2x2x+c b. xln2x + x + c C. xln2x-x+c d. 2xlnx + x + c 5. Evaluate fx cosx dx a. x sinx + 2xcosx-2sinx+c b. x sinx-2xcosx + 2sinx + c C. x sinx-2xcosx - 2sinx + c d. xsinx + 2xcosx + 2sinx + c A train sounds its horn as it approaches a tunnel in a cliff. The horn produces a tone of = 650.0 Hz (when it is at rest), and the train travels with a speed of u = 21.2 m/s. The sound speed (v) is 343m/s. (Suppose that the tunnel is narrow enough and only the reflection from the cliff needs to be considered.)(a) Find the frequency of the sound directly from the train horn heard by an observer standing near the tunnel entrance.(b) The sound from the horn reflects from the cliff back to the engineer on the train. What is the frequency of the reflected sound? (c) What is the frequency that the engineer on the train hears? You are appointed as a consultant to control a project for a supply chain management system in a supermarket.Discuss the potential control steps for a project performance evaluation. You may make relevant assumptions to illustrate your answers.Your discussions will consist of the following steps:Setting baseline plan.Measuring progress and performance.Compare plan against actual.Taking actions. You are expected to prepare a REPORT on WHY a foreign location is attractive (or unattractive) as a market for a Malaysian business AND to propose the most appropriate market entry strategy to be used by the company in the country. If you consider the country unattractive for the business, what are the risks that the company will face if it enters the country?