juxtapose
the benefits of using the optimistic approach versus the
conservative approach.

A linear programming computer package is needed. Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 5,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. (a) Formulate and solve a linear programming model for this make-or-buy application. (Let FM= number of frames manufactured, FP= number of frames purchased, SM= number of supports manufactured, SP= number of supports purchased, TM= number of straps manufactured, and TP= number of straps purchased. Express time in minutes per unit.) Cutting constraint Formulate and solve a linear programming model for this make-or-buy application. (Let FM= number of frames manufactured, FP= number of frames purchased, SM= number of supports manufactured, SP= number of supports purchased, TM= number of straps manufactured, and TP= number of straps purchased. Express time in minutes per unit.) Cutting constraint Milling constraint Shaping constraint Frame constraint Support constraint Strap constraint FM,FP,SM,SP,TM,TP0 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) (FM,FP,SM,SP,TM,TP)= (b) What is the total cost (in $ ) of the manufacturing and purchasing plan? $ (c) How many hours of production time afo used in each department? (Round your answers to two decimal places.) Cutting hirs Milling hirs Shaping FM,FP,SM,SP,TM,TP0 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) (FM,FP,SM,SP,TM,TP)=( 'b) What is the total cost (in $ ) of the manufacturing and purchasing plan? (c) How many hours of production time are used in each department? (Round your answers to two decimal places.) Cutting Milling Shaping hrs hrs hrs (d) How much (in \$) should Frandec be willing to pay for an additioral hour of time in the shaping department? (e) Another manufacturer has offered to sell frames to Frandec for $45 each. Could Frandec improve its position by pursuing this opportunity? Why or why not? (Round your answer to three decimal places.) The reduced cost of indicates that the solution Company XYZ manufactures a tangible product and sells the product at wholesale. In its first year of operations, XYZ manufactured 1,000 units of product and incurred $200,000 direct material cost and $130,000 direct labor costs. For financial statement purposes, XYZ capitalized $85,000 indirect costs to inventory. For tax purposes, it had to capitalize $116,000 indirect costs to inventory under the UNICAP rules. At the end of its first year, XYZ held 260 units in inventory.Required:Compute XYZs cost of goods sold for book purposes and for tax purposes. What is the speed of a wave traveling on a 30 m long rope that is tied to a wall and held up with a tension force of 120 N? The rope has constant density and a total mass of 60 kg. Which of the following accounts has a normal debit balance?a. Sales revenueb. Net sales revenuec. Inventory expensed. Sales returns and allowances Despite winning the greatest number of popular and electoral votes in 1824~ lost thepresidency toHis supporters called this a~ because Henry Clay was appointed to a political office in return forhis support of the new president.Andrew Jackson won the presidency in a landslide in 1828 because he appealed to An argon laser emits a wavelength of 514 nm, aimed at a single slit which is 1.25 m wide. Find the angle of the 2nd dark fringe in the diffraction pattern. O no fringe O 24.6 55.3 0.822 Let X(t) be a continuous-time signal. *(t) = et a) Create a discrete-time sequence 31 [n] by sampling 2(t) every T = 2. Is 21 [n] periodic? If so, what is the period (N)? Find its Fourier transform X (). b) Create a discrete-time sequence 22[n] by sampling (t) every T = 4. Is x2[n] periodic? If so, what is the period (N2)? Find its Fourier transform X2(ej?). 4.a. Discuss the advantages of companies to expand globally and go beyond domestic market?4.b. It was reported in Statista 2022 that Muslims will account for more than one-quarter of the world's population by 2030. The global market analysts would then expect that the number of Western Muslims population would be more than double. Describe in what ways religious subcultures could have impacted consumption decisions? 3. An amount of $12,000 is deposited into an account with annual interest of 4.2% compounded monthly. In how many years will the amount grow to $18,000? Round your answer to two decimal places. The table below shows quantities purchased and the prices of the only two goods citizens of Bloominonionland buy over three years. What is the consumer price index for 2017 using 2016 as a base year? 1.5 50 150 66.7 Which of the following best describes the relationship between a worker's real wage and nominal wage when there is no inflation? Real wage is higher than nominal wage. Nominal wage is higher than real wage. Real wage and nominal wage are the same. Both real and nominal wages are increase, but in different amounts. Both real and nominal wages are decrease, but in different Shift Identities Use the Shift Identities established in class to find an angle on the interval [0, 2] satisfying the given equation. a) sin = cos(2/3) b) cos = sin(11/6)State the number of complete periods made by the graph of y = cos x on the given interval. a) 0 x 10 b) 0 x 20On separate coordinate planes, sketch the graphs of the given functions over the interval 2 x 2. a) f(x) = sin xb) g(x) = |sin x|c) h(x) = sin |x| Use the Wronskian to determine whether x and ex are linearly independent or not. W(F)= A dryer operating is at steady state. Damp fabric containing 50%moisture by mass enters on a conveyor and exits with a moisturecontent of 4% by mass. The total mass of the fabric and water exitsat You cool 1.50 kg of iron from 453C to your lab room temperature of 25C. 1. Calculate the entropy change of the iron as it cools down. 2. The cooling process is essentially isothermal in the lab. Calculate the change in entropy of the lab as it cools the piece of iron, assuming that all of the heat lost by the iron goes to warm up the air in the lab. What is the total entropy change of the system iron piece + air? 3. Is the process reversible, and why? The specific heat of iron is 470 J/(kg-K) Six $3,000 annual payments become $22,066.68 in six years with weekly compounding. APR= EAR= Discuss the relationship between the design of a project solution and long-term maintenance costs (including scalability) I load 1:10 40:1 line M Z_line V_G AC Z_load S= 3kVA Region 1 Generation side Region 2 Transmission side Fig. 4: Problem 11 Region 3 Distribution side 3 10. A sample of power system consists of two transformers, a step up transformer with ratio 1:10 and a step down transformer with turn ratio 40:1 as shown in Figure 4. The impedance of transmission line is 5+j60 12 and the impedance of load is 40 + 35 N. a. The base power of the system is chosen as the capacity of the generator S = 3kVA. The base voltage of region 1 is chosen as the generator's voltage 450 V. Please determine the base power (VA) and voltages at any points in the systems (region 1-2-3). b. Please determine the base currents at any points in the systems (region 1-2-3) c. Please determine the base impedance at any points in the systems (region 1-2-3) d. Convert to VG Zline Zload to Per Unit e. Draw the equivalent circuit in Per Unit the more expensive and complicated conversion method achieves a faster conversion speed. True False In Exercises 1 through 12, compute the derivative of the given function and find the slope of the line that is tangent to its graph for the specified value of the independent variable. 1. f(x)=4;x=0 2. f(x)=3;x=1 3. f(x)=5x3;x=2 4. f(x)=27x;x=1 5. f(x)=2x 23x5;x=0 6. f(x)=x 21;x=1 7. f(x)=x 31;x=2 8. f(x)=x 3;x=1 9. g(t)= t2;t= 2110. f(x)= x 21;x=2 11. H(u)= u1;u=4 Question 5 (20 points) a) (10 points) Determine the Laplace Transform of x(t) = cos(3t) b) (10 points) Use the needed properties to find the Laplace transform of y(t)=5 x(t-10)