1 A furniture manufacturer produces three types of chairs. Model A requires 1.2 hours of labor and 0.25 hour of machine time. Model B requires 1 hour of labor and 0.2 hour ofmachine time. Model C requires 0.8 hours of labor and 0.15 hours of machine time. There are 600 labor hours and 200 machine hours available per period. The manufacturerseeks to maximize profit and has determined that profit contributions of each unit of A, B, and C are $20, $15, and $12, respectively. Formulate this problem as a linearprogram, and find the optimal values of A, B, and C. (Round your answers to the nearest whole number.)A =B =

Decision Variable- Suppose, X be the no. of Chairs model A Y be the no. of Chairs…

Answered: A furniture manufacturer produces three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.
4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?
A machine part to be fabricated may be made from alloy of either of two metals. There is an order for 10,000 units. Metal A costs 3 pesos per kg, while Metal B costs 9 pesos per kg. If Metal A is used, the material per unit weighs 110 grams; for metal B, 30 grams. When metal A is used, 50 units can be produced per hour; for metal B, 80 units per hour. Metal B fabrication requires the aid of a tool costing P1,000, which will be useless after the 10,000 units are finished. The machine operator's wage is P50 per hour. If all other costs are identical, determine which material will be more economical to finish the 10,000-unit order. How much is the total cost difference between the use of metal A and metal B?
Kofi Abebrese runs a small industrial company that specialize in the production of high standard windows for housing estates. A worker is paid GHC0.9 per hour and can produce two window with an hour. Each window uses a frame costing GHC1 and incur a variable overheads of GHC0.7. Each window sells for GH¢3. Currently, due to the economic condition, work is rather slack and three employees are occupied in carrying out extensive repairs to Kofi Abebrese's own house. Kofi owns a warehouse next to the factory, which had been used as a factory store, in the past. It is now let out on a renewable annual lease of GHC600. A new building company, Allied Consult, which specializes in the production of prefabricated houses has asked Kofi if he would be interested in accepting a contract for GHC30,000 which will be for a year initially, to produced molded internal building sections. Kofi estimates that, the contract will take 13,200 hours of works, or the work of five men for a year, and that…
. A group of students organizes a bake sale in which they sell hundreds of cookies at $1per piece. They set up a table on campus and wait for students to come and purchasetheir cookies. Consider the following variables in this bake sale operation:1. Size of the cookies2. Weather conditions on campus3. Organization of the table4. Number of cookies sold5. Competition from other fund-raisers coinciding on campus6. Amount of advertising and shouting of the students at the bake sale table7. Number of students on campus that dayWhich of these variables is an output variable?a. 3b. 4c. 5d. None of the above
You are asked to help your boss deciding who is considering whether to make or buy a part fora top most demanding product of the company.Your company can make the component for $40 per unit or buy it for $50 per unit from vendor.If the Company decides to make the component, it will require 4 hours of machine time tomake each part. The company has 2,000 hours of machine time available per month. Shouldthe company make or buy the component? How many max parts company can make?________________________________________________________________
Assuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold. What is a maximum-profit daily production plan for your company?
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A company makes parts that cost $35.00 in material and labor. 92% of the parts are produced defect free and are sold for full price at $110 each. 2% of the parts made must be scrapped. Scrap parts are sold for $8.00 each. The remaining 6% of the parts made must be reworked at a cost of $12.00 each. After rework 1% still must be scrapped and the other 5% is sold at a discounted price of $90 each. a. Draw the tree diagram showing the quality cost situation. b. Determine the earnings per part. c. Determine the cost of poor quality (COPQ). d. Determine the earnings per part and COPQ if the rework operation was shut down and the parts that required reworking were just sold for scrap instead.
At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…
Thomas has eight horses averaging 1,400 pounds. They are on 20 acres of orchard grass and clover. Each year, Thomas applied 30-30-30 units of fertilizer per acre using 46-0-0 urea at $408 per ton, 18-46-0 DAP at $496 per ton, and 0-0-60 muriate of potash at $506 per ton. He reseeded with 10 pounds per acre of orchard grass at $1.19 per pound and 2 pounds per acre of clover at $3.18 per pound. The horses are housed in a barn 34 feet wide with stalls 12 by 12 feet on each side and a 10-foot aisle down the center. He needs at least one fifth of the barn, not including the center, for hay and tack room. What did it cost to fertilize and reseed the pasture? How long must he barn be in even number of feet?

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