A small cooperative craft workshop makes two types of table: a standard rectangular table and a deluxe circular table. Demand for both types of table is assumed to be unlimited. Each type of table is made from the same wood, and each table has to go through three processes: joinery, pre-finishing and final finishing (in that order). Sufficient cut wood is always available. Each rectangular table takes 2 hours for joinery, 40 minutes for pre-finishing, and 5 hours 20 minutes for final finishing. Each circular table requires 3 hours for joinery, 2 hours for pre-finishing, and 4 hours for final finishing. The workshop employs five joiners, two sanders, and eight polishers. The joiners each work a fixed six-hour day, while the sanders and polishers each work a fixed eight-hour day on the pre-finishing and final finishing, respectively. No overtime is worked, and full six-hour or eight-hour days are worked by each employee irrespective of whether there is work for that employee to do. All running costs, including wages, are fixed. The cooperative sells each rectangular table for $120 and each circular table for $150. How many of each type of table should it produce each day in order to maximize its profit? Formulate the problem into a linear program and find the optimal solution using Excel solver.

Answers

Answer 1

The optimal solution is to produce 4 rectangular tables and 3 circular tables each day.

How many rectangular and circular tables should be produced to maximize profit?

The cooperative craft workshop should produce 4 rectangular tables and 3 circular tables each day in order to maximize its profit. To arrive at this optimal solution, we can formulate the problem as a linear program. Let's define the decision variables as R and C, representing the number of rectangular and circular tables produced, respectively.

The objective is to maximize the profit, which can be expressed as 120R + 150C. We also need to consider the constraints: the available working hours for each employee and the processing times for each table type. Based on the given information, we have the following constraints: 2R + 3C ≤ 30 (joinery constraint), 0.67R + 2C ≤ 16 (pre-finishing constraint), and 5.33R + 4C ≤ 64 (final finishing constraint). Additionally, we have the non-negativity constraints R ≥ 0 and C ≥ 0.

By solving this linear program using an Excel solver, we find that the optimal solution is R = 4 and C = 3, resulting in the maximum profit for the cooperative.

Learn more about Linear programming (LP).

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Related Questions

To satisfy demands for withdrawals, banks keep:
A. discount rates.
B. monetary policies.
C. balance sheets.
D. fractional reserves.​

Answers

C. balance sheets

explanation:

which of the following is a workplace trend?
A - decreased outsourcing
B - decreased attention to diversity
C- increased use of manual labor
D - increased technology literacy

Answers

Answer:

increased use of manual labor

Explanation:

Advancement in technology has resulted in machines taking over manual jobs.  A few decades ago, manual work was done by human beings exclusively. Industries hired many laborers to assist in many aspects of the business. Today, machines and robots are deployed in different sectors of the economy.

The current trend is the workplace is the use of modern technology. Computers, machines, and robots are gradually replacing people, mostly unskilled and manual laborers.

If 135 TV's are sold and cost $275 to produce and is priced at $250, what is the profit/loss?

Answers

Answer:

$25

Explanation:

The production cost is $275.

The selling price is $250

The loss/profit will be: Selling price minus cost price

=$250 - $275

=  -$25

A loss of $25.

If this is the cost for all the 135 TVs, then the loss is only $25.

N:B

If the costs are for one TV, then the loss will be $25 x 135=$3,375

A _____ is an estimation about a future situation based on the evaluation of facts.

1. projection
2. fact
3. salary
4. growth

Answers

Answer:

Projection

Explanation:

Answer:

Yes the correct answer is (PROJECTION)

Explanation:

In what circumstance would a property insurance claim be rejected?

Answers

• You don’t file your claim promptly
• The cause of property damage falls under an exclusion condition in your policy.
•You haven’t been paying your insurance premiums.
• The damage isn’t sufficiently documented
•The insurance adjuster finds anything suspicious or false in the claim.
•You didn’t take precautions to prevent further damage after the initial loss.

Trish bought a new computer that she has been using for a few weeks. She is starting to experience pain in her wrists, back and neck. What measure should Trish take to reduce strain while working on the computer?

A. complete all her work soon on the computer by sitting at a stretch
B. maximize the brightness of the screen to concentrate better
C. ensure back support by using cushions
D. keep hands and wrists stiff while typing

Answers

Answer:

C ensure back support by using cushions

Answer:

C

Explanation:

Her problem is that be back is hurting, and adding cushions will ensure back support and then that will not be a problem for her anymore.

Which of the following occupations is most responsible for ensuring the quality and safety of the food
supply chain?
O chefs
O farmers
O grocery store owners
O food processors

Answers

I would say farmers because all of they rely on their food producs

Answer: I am pretty sure the answer the answer would be the farmers

Explanation: the food comes form the farmers, including meats, veggies, fruits, well you get the point. And if there is something bad with one of the meat animals, they are in charge of not selling the "bad meat" to any stores or big meat companies

Why do you think economists have different belief systems/theories on economics?

Answers

Economists have different belief Systems because Economists also disagree because their methods are not good enough to reveal the whole truth. Economic theory is an attempt to explain and interpret economic data, for example, to determine the causes and effects of economic events.

Answer:The principal disagreement among economists is a matter of economic philosophy. There are two major schools of economic thought: Keynesian economics and free-market, or laissez-faire, economics.

Keynesian economists, named after John Maynard Keynes, who first formulated these ideas into an all-encompassing economic theory in the 1930s, believe that a well-functioning and flourishing economy may be created with a combination of the private sector and government help.

By government help, Keynes meant an active monetary and fiscal policy, which works to control the money supply and adjust Federal Reserve interest rates in accordance with changing economic conditions.

By contrast, the free-market economists advocate a government "hands-off" policy, rejecting the theory that government intervention in the economy is beneficial. Free-market economists—and there are many distinguished advocates of this theory, including Nobel Memorial Prize winner Milton Friedman—prefer to let the marketplace sort out any economic problems. That would mean no government bailouts, no government subsidies of business, no government spending explicitly designed to stimulate the economy, and no other efforts by the government to help what the economists believe is the ability of a free economy to regulate itself.

Explanation:

what is the role of doctors in our society?​

Answers

Their role is to serve the society as others do basically contribution but their actual role is to help others through their medical knowledge.

Which of the following vehicles would have a lower insurance premium?
O A brand new SUV
O A used town car

Answers

Answer:

A used town ca

Explanation:

Because its used and that insures that it works so it makes the insurance go down

The correct answer is option B.

A used town car would have a lower insurance premium.

Insurance premium

An insurance premium is the amount of money an individual or business pays for an insurance policy. Insurance premiums are paid for policies that cover healthcare, auto, home, and life insurance.

What is an example of a premium in insurance?

A premium is the price of the insurance you've chosen, charged by your insurance company. A deductible is an amount you have to pay before your insurance company initiates coverage. For example, if your car insurance premium is $800 per year, you must pay your insurer $800 per year to have the insurance.

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he U.S. government's ability to pay for Social Security in the near future is a problem because:

Answers

Answer:

Our country's notional debt

Explanation:

Virtue ethics places great focus on which of the following

Answers

Answer:

character i think.

Explanation:

Based on the W-2 provided, Social Security tax withheld for Lily was ______ of wages and Medicare tax withheld was ______ of wages.

a. 1.3%, 5.5%
b. 6.2%, 1.45%
c. 10%, 10%
d. 28%, 39.8%

Thanks for any help I can get! I don't need an explanation as to how you got the answer. ​

Answers

Answer:

b. 6.2%, 1.45%

Explanation:

Social security and medicare are calculated as a percentage of the gross pay. For Lily, gross pay is $14,450.

For social security, 895.90 is deducted. As a percentage of her gross pay

895.90 will be.

=895.90/ 14,450 x 100

= 0.06193771 x 100

=6.2 %

For medicare, 209.5 has been deducted.  As a percentage of her gross pay, 209.5 is

=209.5/ 14,450 x 100

=0.01449827 x 100

=1.45%

The social security tax is the tax amount that is acquired from the earned income to fund the benefits of social security. It is the major part of the salary that carries the benefits for the person who earns it and contributes some part for the benefits of the government.

The correct answer is b. 6.2%, 1.45%

Social security and medicare are calculated as a percentage of the gross pay. For Lily, gross pay is $14,450.

For social security, 895.90 is deducted. As a percentage of her gross pay

895.90 will be.

[tex]=\frac{895.90}{14,450}\times 100= 0.06193771 \times 100=6.2 \%[/tex]

For medicare, 209.5 has been deducted.  As a percentage of her gross pay, 209.5 is

[tex]=\frac{209.5}{14,450} \times 100=0.01449827 \times 100=1.45\%[/tex]

To know more about the social security tax, refer to the link below:

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Simply Imagine wants to grow their company but is hindered by increasing labor costs and import quotas.
Simply Imagine should consider becoming a(n)
(A) countertrader (B) wholly owned subsidiary (C) strategically(D) mulimatiomnal (E) franchiser

Answers

Answer:

multinational

Explanation:

A multinational business operates in at least one other country apart from its home country. The company will have factories/ offices in different countries and its headquarters in the domicile state. The operations of a multinational are coordinated at its headquarters.

By becoming a multinational, simple imagine can expand in countries with relatively cheap labor. It will overcome the import quota challenge by operating from a country without restrictions or from the source state.

Max works at Pizza Palace 20 hours each week at a rate of $10 per hour. He is paid every two week. Calculate his gross and net pay. (Social Security 6.2%, Medicare 1.45%, and Federal and State Tax 10%)

Answers

Answer:

$329.4

Explanation:

Max earns $10 per hour. If he works for 20 hours each week, his weekly pay will be $10  times 20 hours

=$10 x 20 hours

=$200

He is paid every two weeks. His gross pay is $400. ($200 x 2)

Net pay would be gross pay -deductions

Deductions.

Social security

= 6.2% x  $400

=$24.8

medicare

=1.45% x $400

=$5.8

Federal and State Tax

=10% x $400

=$40

Total deductions = $24.8 +$5.8 +$40=$70.6

Net pay =$400 -$70.6

=  $329.4  

TRUE OR FALSE: It is always free to use an ATM if you have a debit card

Answers

Good luck !!! This is what I found

Answer:

False

Some banks/stores will require you to pay if you use an ATM. In some cases, it is not about whether you have a debit card or not. Debit cards are primarily used to remove money from a bank account, not for ATMs.

Write a question keep it simple

Answers

Answer:

Why do people break up if they love each other?

Explanation:

sorry it's not simple lol

It is the idea being transmitted by the sender to the receiver. It includes three aspects — content , structure and style

Answers

Answer:

decodes and feedback.

Explanation:

It is a message since it is written or recorded words or information sharing or ideas conveyed by the sender to the receiver.  It includes information and communication, how important and useful information is, and can be read in order to understand it.  The structure of a message is tone.

The Style includes how the sender composes and writes a message.

Message is the idea being transmitted.

A Message is a form of communication sent to a recipient who is not present physically and its can be in verbal, written or recorded form.

Message is one of the essential elements of communication process. The other process includes Sender, Encoding, Interference, Communication channel, Receiver, Decoding and Feedback

Roughly, there are 3 purposes for passing message

To inform people of certain subject.To persuade others to do one biddingTo builds one's goodwill.

Learn more about Communication process here

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After learning about social media ethics, what 5 things would you tell other high school students positive or negative about social media and how it will potentially affect their high school experience and their potential career?

Answers

1. A positive is meeting and learning from new people 2. social media Can be dangerous to mental health 3 Stay in touch with distant people 4. Learn subjects 5. What you say online can bite you on the butt

Describe the information you will need to provide in order to complete a FAFSA. List at least three of the required documents you must include.

Answers

Answer:

Sample response: To complete a FAFSA, I must first include information to verify my identity. This includes my Social Security number or a driver's license. I must include information about my income or my family's income (if they are still responsible for my care). Finally, I must submit financial information, like my account statements.

Explanation:

2020 edg

if i post by business page will you guys follow it ?

Answers

Answer:

Yassss queeeennnn

Explanation:

jdnskakana

Explanation:

Yes i will definately follow it

What is the difference between Money
Market and Investments?

Answers

Answer:

can udo a pic so i can see

Explanation:

Which is used to trace a check back to the account on which it was written?
Group of answer choices

a valid date

an endorsement

a bank route number

a signature

Answers

Answer:

a bank route number

Explanation:

The routing number is among the three numbers found at the bottom of a check. The routing number is at the bottom left.  It serves as an ' identity ' for your bank. The routing number enables other banks to contact your bank and collect funds from your account every time you write a check.

A routing number is a unique number for every banking institution.  The number proves that the bank is a recognized financial institution with an account with the Federal Reserve.

What financing source involves wealthy individuals giving their money to fund a startup?

Answers

Answer:

Angel Investors

Explanation:

Angel investment is when a person or a group of individuals use their finances to fund a startup. These investors are wealthy and consider it fit to finance entrepreneurs based on business ideas and proposals.

Angel investors usually have excess funds and willing to risk in the early stages of a startup in anticipation of bigger returns when the business succeeds. Angel investors gain percentage ownership in the business in exchange for funding. They also offer mentorship to entrepreneurs.

WILL MARK BRANLIEST!!!!!
Which portion would not be part of an investment portfolio? (Select the best answer.) commodities funds

a savings account

a savings 529 plan

equity investments in a company

Answers

Answer:

a savings 529 plan

Hope this helps plz mark me brainliest

Answer:

A savings account

Explanation:

Took the quiz

Think of a substantial product you regularly purchase, such as video games or jeans. If supply is high and
demand is low, what happens to the cost? How might that affect someone's income? Likewise, if supply is low
and demand is high, what happens to the product's cost? How might that affect someone's income?

Answers

Answer:

See below

Explanation:

1. When the supply is high, and demand is low, an item's cost will probably come down. High supply with low demand creates a surplus in the market. Seller will offer the lowest prices possible to woe buyers.

When an item's prices go down, buyers will spend less money buying the product. The buyer saves some money, which is equivalent to having more income than before.

2. With a low supply but high demand, prices tend to go up. There will be great competition for the few goods from the many buyers. As a result, suppliers will hike prices and make more profits.

An increase in prices forces buyers to spend more money to buy the same commodities. Their disposable income decrease, which is the same as having a reduced income

which of the following should be pracited among all co workers in the workplace
a.bullying
b.discrimination
c.stereotyping
d.tolerance

Answers

Answer:

c

Explanation:

Answer:

D. Tolerance

Explanation:

Because what, you souldnt do any of the others, dude, teachers sometimes

Fractional reserve banking increases the money supply in an economy by:
A. preventing depositors from leaving a lot of money in banks.
B. requiring the government to print more money in certain
situations.
C. loaning money that would otherwise be held in a bank.
D. accepting currencies from many different countries to pay off
loans.

Answers

Answer:

C. loaning money that would otherwise be held in a bank.

Explanation:

Fractional reserve banking increases the money supply in an economy by "loaning money that would otherwise be held in a bank."

Fractional reserve banking is known as a system of banking whereby the banks hold a fraction of what customers deposit as reserves. Then the banks use the remaining to give loans and thereby creating and increasing the supply of money. Commercial banks practise this type of banking system. This tells of how commercial banks are affecting the money supply. The bank reserves are usually held as cash in the bank. It can also as balances in the bank's account at their central bank.

Answer:

C. loaning money

Explanation:

just did it on a-p-e-x

Helppp please
The fact that a country has less strict labor laws and relaxed environmental regulations are strong reasons for a
company to move production facilities to that country.
True
False

Answers

The answer has to be true

Answer:true

Explanation: I just took the test

Which one of the following businesses would you classify as being in the secondary sector of industry?

A) Oil exploration company
B) Family run farm business
C) Taxi operating business
D) Shoe manufacturer

Answers

Answer:

shoe manufacturer

Explanation:

Other Questions
Many retail stores began to focus on selling organic foods starting in the late 1990s. The market for organic food grew after Whole Foods started to expand. Whole Foods began as a small Austin-based retailer that focused on selling natural products in the 1980s. It gradually developed and spread through the purchase of other smaller organic food retailers. Now, it is a nationally known retailer with a strong focus on selling natural foods to an upscale target market. Wholes Foods has successfully positioned itself as a premium organic retailer based on its commitment to offering superior products. It created many innovative ways to promote the concept of organic, natural foods to young professionals and eco-friendly consumers.Organic products are typically priced higher than regular products. Sometimes the price differences may be 30 to 40% higher depending on the retailer. Organic fruits and vegetables are grown with little or no pesticides which can be harmful to people and the environment. Meats and dairy products are sourced from farms that follow strict guidelines that limit the use of growth hormones on animals, and pesticides on animal feed. Because of the way that the products are produced, organic and natural products result in higher costs.The government has developed guidelines that determine whether a product can be labeled as organic. Companies selling these products must follow these guidelines or face negative consequences from the government or consumer groups. The success in the organic market has not gone unnoticed as larger retail chains have begun to offer extensive organic product lines to appeal to the same customers. HEB and Kroger now have wide-ranging organic product lines in both their produce, selected meat, and general grocery sections. Their organic products especially those produced are just alternatives products lines because regular non-organic products can also be purchased. This is an example of retailers responding to market changes.Explain the major environmental variables which have affected the growth of the organic food market. Define the term "derived demand" and Discuss a resource used in the production of a product or service produced by your workplace or in the production of a product or service you use. Please do not discuss oil or gasoline or a resource used in an example in the text. Include a list of three final products/services that use this resource and a least one possible substitute for the resource. Also, discuss whether the derived demand for this resource is rising or falling.Hints: Be specific. For example, do not discuss the derived demand for labor or natural resources. Instead, discuss the demand for a specific type of labor or natural resources, such as plumbers or gravel. jules created a page to capture project ideas but she does not want the entire team to view it yet. what should jules do? Describe the HR of the future as you envision it. In what wayswill HR professionals make a meaningful and positive impact on theorganizations they serve? Find the value of x and the value of y. flipping a coin we deem htht more like than tttt even though they have the same chance of occurring. this is a good example of: Please review the following information:Chapter 3of your textbook (Hite) focuses on "Population."Chapter 6focuses on "Climate Change" and presents scientific studies that show how the Earth is warming at an unsustainable rate due to a rise in CO2 and methane gases.Chapter Reading:Answer the following main discussion questions from the Hite (2021) chapter readings and course media, and provide at least one reference citation (yes, you may cite the textbook).Present substantial information written in complete sentences only (minimum 175 words), do not write content in a list or bullet point formatthis is not a memo.Label each task according to the Weekly Discussion Guide Instructions.For question 3,you will find the World Bank List of Developing Nations 2020 in the Course Information section of BlackBoard.Task A) Main Discussion Questions:From the Hite chapter readings (cite the text): 1)How does an increase in population create climate change issues? Explain in detail.2) Discuss (in detail) some specific ways in which population growth benefits developed and developing nations. 3) Discuss some specific problems associated with over population for developed and developing nations. what is 0.000750 in scientific notation? Online courses offer a high degree of flexibility with regard to my schedule.true or false Language is one of the major barriers to effective communicationthrough advertising. Explain with an example. Create a set of use cases for the following system: A Video Store (AVS) runs a series of fairly standard video stores. Before a video can be put on the shelf, it must be catalogued and entered into the video database. Every customer must have a valid AVS customer card in order to rent a video. Customers rent videos for three days at a time. Every time a customer rents a video, the system must ensure that this customer does not have any overdue videos. If so, the overdue videos must be returned and an over- due fee paid before the customer can rent hore videos. Likewise, if the customer has returned over- due videos, but has not paid the overdue fee, the fee must be paid before new videos can be rented. Every morning, the store manager prints a report that lists overdue videos; if a video is two or more days over- due, the manager calls the customer to remind him or her to return the video. If a video is returned in damaged condition, the manager removes it from the video database and may sometimes charge the cus- tomer. How do technology, healthcare, and/ or analytics impact society today? Please at least one positive impact and one negative impact when responding to the question, focus on the financial field, and explain how impacts society Compared with perfect competition, a monopoly A. produces a larger output and increases consumer surplus. B. produces a larger output and creates a deadweight loss. C. has higher profits and creates a deadweight loss. D. has higher profits and increases consumer surplus. Sue sells authentic Amish quilts on her website. Suppose Sue expects to sell 2,000 quilts during the coming year. Her average sales price per quilt is $400, and her average cost per quilt is $300. Her fixed expenses total $100,000. Compute her margin of safety a. in units (quilts). b. in sales dollars c. as a percentage of expected sales A group that contains similar orders Navigate to Sheep Mountain Wyoming (double-click on the Sheep mountain push-pin). a) Which way do the beds dip on the north-side of the mountain? b) : Which way to the beds dip on the south-side of the mountain? c) What type of fold is Sheep mountain? What makes a good Manager?How is each of the four (4) management functions used in your everyday life/activities? Be specific.What is your preferred method of communication and why? What is your least preferred method of communication and why? In the Tuckman performing stage of team formation, please definethe following concepts: socialization, synergy, and glitches. Interest on $1200 at 0.5% for 1.5 months 1. Two angles have the same value if they are complementary angles. TRUE FALSE