Use the minimax regret and Hurwics (α=0.8) to assist Susan with her decision Susan Solomon has been thinking about starting her own fuel station,but Susan's problem is to decide how large the station should be.The annual returns depend on both the size of the station and anumber of market factors related to the oil industry and the demandfor fuel. After careful analysis, Susan developed the following table:Fair Market (Rand) Poor Market (Rand)Size of the station Good Market (Rand)Small50 00020 000-10 000Medium80 00030 000-20 000Large100 00030 000-40 000Very Large300 00025 000-160 000For example, if Susan constructs a small station and the market isgood, she will realise a profit of R50 000.Use the minimax regret and Hurwics (a=0.8) to assist Susan with herdecision.

Answered: Susan Solomon has been thinking about…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
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.
for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands) depends on demand as follows. DEMAND STAFFING OPTIONS HIGH MEDIUM LOW Own Staff 650 650 600 Outside Vendor 900 600 300 Combination 800 650 500 Based on decision analysis under uncertainty, determine the best decision each of the model. Then compare all the model decision to make it overall conclusion.
Leah Johnson, director of Urgent Care of Brookline, wants to increase capacity to provide low-cost flu shots but must decide whether to do so by hiring another full-time nurse or by using part-time nurses. The table below shows the expected costs of the two options for three possible demand levels: States of Nature (demand) Alternatives Low Medium High Hire full−time $320 $480 $700 Hire part−time $0 $340 $800 Probabilities 0.20 0.55 0.25 Part 2 a) The alternative with the least expected cost is ▼ a. Hire full-time b. Hire part-time The expected price of this alternative is $_______ (enter your answer as a whole number). Part 4 b) The appropriate decision tree for Leah Johnson is presented in Figure____?
JayZee Electronics wanted to expand its operations by considering of putting up another warehouse to store their electronic supplies from different suppliers. The table below shows the payoff for all alternatives available for JayZee Electronics in all 3 states of nature. The probabilities for every state of nature is also provided. Size of the Warehouse Good Market ($) Fair Market ($) Poor Market ($) Small 40,000 -10,000 -20,000 18,000 Medium 80,000 90,000 Large Very Large -40,000 -160,000 100,000 175,000 350,000 25,000 Probabilities 0.35 0.45 0.20 Using Decision Making under Uncertainty (Use Sheet 1 and rename it to Lastname_Uncertainty) (a) Develop a decision table for this decision. (b) What is the maximax decision? (c) What is the maximin decision? (d) What is the equally likely decision? (e) What is the criterion of realism decision? Use an a value of 0.8. (f) Develop an opportunity loss table. (g) What is the minimax regret decision? Using Decision Making under Risk (Use Sheet 1…
Leah Johnson, director of Urgent Care of Brookline, wants to increase capacity to provide low-cost flu shots but must decide whether to do so by hiring another full-time nurse or by using part-time nurses. The table below shows the expected costs of the two options for three possible demand levels: States of Nature (demand) Alternatives Low Medium High Hire full−time $320 $480 $700 Hire part−time $0 $350 $1,200 Probabilities 0.15 0.45 0.40 Part 2 a) The alternative with the least expected cost is ▼ a. Hire part-time b. Hire full-time The expected price of this alternative is $_______ (enter your answer as a whole number). Part 4 b) The appropriate decision tree for Leah Johnson is presented in Figure____?
Wheels Distributors sells three types of tires to the commercial market. Type A. Type B and Type C. The anticipated payoffs are as follows for the three types of tires. Light Demand Moderate Demand Heavy Demand Probability 0.25 0.45 0.3 Tire Type A $325,000 $190,000 $170,000 B $300,000 $420,000 $400,000 C -$400,000 $240,000 $800,000 Construct a decision tree to help the management of Wheel Distributor make the appropriate decisions. This tree MUST be constructed in logical order with labels and net payoffs. Given the probabilities for the three types of tires and the expected monetary values, what decision should be made and what is that optimal expected value? What is the most should the firm be willing to pay to obtain further (perfect) information (EVPI) concerning the demand for the tires? 4. What decision should the firm…
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The operations manager for a water taxi company wants to decide whether to purchase a small, medium, or large new boat for the company. The manager estimates that the annual profits (in thousands of dollars) will vary depending upon whether passenger demand is low, moderate, or high, as shown in the following table. ооо Boat none Small Medium Low Medium 49 38 Large Probability 0.3 Demand 21 60 82 53 0.3 High 68 90 118 If the company uses the expected value approach, which size boat will it decide to purchase? small medium large 0.4

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