3 Leary Chemical manufactures three chemicals: A, B,and C. These chemicals are produced via two productionprocesses: 1 and 2. Running process 1 for an hour costs $4and yields 3 units of A, 1 of B, and 1 of C. Running process2 for an hour costs $1 and produces 1 unit of A and 1 of B.To meet customer demands, at least 10 units of A, 5 of B,and 3 of C must be produced daily. Graphically determinea daily production plan that minimizes the cost of meetingLeary Chemical's daily demands.

Let ‘x’ be Process 1. Let ‘y be Process 2.

Answered: 3 Leary Chemical manufactures 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.
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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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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 B 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 shortest-path problem by drawing a…
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