A decision maker faces with the following four alternatives and four states of nature in the profit payoff table below:B. CalD. Calculate the expected value of perfectto the nearest integer:1, A2, A3, or A4.3States of natureS380.1

NOTE: We are allowed to do the first three sub-parts only. MAXIMIN and EMV are two decision-making…

Answered: A. What is the recommended decision…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section9.2: Elements Of Decision Analysis

Problem 2P

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A builder has located a piece of property that she would like to buy and eventually build on. The land is currently zoned for four homes per acre, but she is planning to request new zoning. What she builds depends on the approval of zoning requests and your analysis of this problem to advise her. With her input and your help, the decision process has been reduced to the following costs, alternatives, and probabilities:Cost of land: $2 millionProbability of rezoning: .60If the land is rezoned, there will be additional costs for new roads, lighting, and so on, of $1 million. If the land is rezoned, the contractor must decide whether to build a shopping center or 1,500 apartments that the tentative plan shows would be possible. If she builds a shopping center, there is a 70 percent chance that she can sell the shopping center to a large department store chain for $4 million over her construction cost, which excludes the land; and there is a 30 percent chance that she can sell it to an…
A manager is trying to decide whether to build a small,medium, or large facility. Demand can be low, average,or high, with the estimated probabilities being 0.25, 0.40,and 0.35, respectively.A small facility is expected to earn an after-tax net pres-ent value of just $18,000 if demand is low. If demand isaverage, the small facility is expected to earn $75,000; it canbe increased to medium size to earn a net present value of$60,000. If demand is high, the small facility is expected to earn $75,000 and can be expanded to medium size to earn$60,000 or to large size to earn $125,000.A medium-sized facility is expected to lose an estimated$25,000 if demand is low and earn $140,000 if demand isaverage. If demand is high, the medium-sized facility isexpected to earn a net present value of $150,000; it can beexpanded to a large size for a net payoff of $145,000.If a large facility is built and demand is high, earningsare expected to be $220,000. If demand is average for thelarge facility, the…
Techno Corporation is currently manufacturing an item at variable costs of $5 per unit. Annual fixed costs of manufacturing this item are $140,000. The current selling price of the item is $10 per unit, and the annual sales volume is 30,000 units.a. Techno can substantially improve the item’s quality by installing new equipment at additional annual fixed costs of $60,000. Variable costs per unit would increase by $1, but, as more of the better-quality product could be sold, the annual volume would increase to 50,000 units. Should Techno buy the new equipment and maintain the current price of the item? Why or why not?b. Alternatively, Techno could increase the selling price to $11 per unit. However, the annual sales volume would be limited to 45,000 units. Should Techno buy the new equipment and raise the price of the item? Why or why not?
1. A builder has located a piece of property that she would like to buy and eventually build on. The land is currently zoned for four homes per acre, but she is planning to request new zoning. What she builds depends on approval of zoning requests and your analysis of this problem to advise her. With her input and your help, the decision process has been reduced to the following costs, alternatives, and probabilities: Cost of land: $2 million. Probability of rezoning: 0.60. If the land is rezoned, there will be additional costs for new roads, lighting, and so on of $1 million. If the land is rezoned, the contractor must decide whether to build a shopping center or 1,500 apartments that the tentative plan shows would be possible. If she builds a shopping center, there is a 70 percent chance that she can sell the shopping center to a large department store chain for $4 million over her construction cost, which excludes the land; and there is a 30 percent chance that she can sell it to an…
: A small building contractor has recently experienced two successive years in which work opportunitiesexceeded the firm’s capacity. The contractor must now make a decision on the capacity for the next year.Estimated profits under each of the two possible states of nature are shown in the table below. The units are in P thousands. Which alternative should be selected if the decision criterion is: a. Maximax? b. Maximin? c. Laplace? d. Minimax regret?
A firm must decide whether to construct a small, medium or large stamping plant. A consultant’s report indicates a 0.20 probability that demand will be low and 0.80 that demand will be high. If the firm builds a small facility and demand turns out to be low, the Net Present Value (NPV) willbe $42M. If demand turns out to be high, the firm can either subcontract and realize the NPV of $42M orexpand greatly for a Net Present Value of $48M. The firm could build a medium size facility as a hedge: if demand turns out to be low, its NPV is estimated at $22M; if demand turns out to be high, the firm could do nothing and realize a NPV of $46M, or could expand and realize a NPV of $50M. If the firm builds a large facility and demand is low, the NPV will be ($20M), whereas high demand will result in a NPV of $72M. Compute the EVPI *
A builder has located a piece of property that she would like to buy and eventually build on. The land is currently zoned for four homes per acre, but she is planning to request new zoning. What she builds depends on the approval of zoning requests and your analysis of this problem to advise her. With her input and your help, the decision process has been reduced to the following costs, alternatives, and probabilities: Cost of land: $5 million. Probability of rezoning: 0.80. If the land is rezoned, there will be additional costs for new roads, lighting, and…
A small building contractor has recently experienced two successive years in which work opportunities exceeded the firm’s capacity. The contractor must now make a decision on capacity for next year. Estimated profits under each of the two possible states of nature are as shown in the tablebelow. Which alternative should be selected if the decision criterion is:a. Maximax?b. Maximin?c. Laplace?d. Minimax regret?NEXT YEAR’SDEMANDAlternative Low HighDo nothing $50* $60Expand 20 80Subcontract 40 70
The lease of Theme Park, Inc., is about to expire. Management must decide whether to renew the lease for another 10 years or to relocate near the site of a proposed motel. The town planning board is currently debating the merits of granting approval to the motel. A consultant has estimated the net present value of Theme Park’s two alternatives under each state of nature as shown on the following page. What course of action would you recommend using?a. Maximaxb. Maximinc. Laplaced. Minimax regretOptionsMotelApprovedMotelRejectedRenew $ 500,000 $4,000,000Relocate 5,000,000 100,000
A small building contractor has recently experienced two successive years in which work opportunities exceeded the firm’s capacity. The contractor must now make a decision on capacity for next year. Estimated profits under each of the two possible states of nature are as shown in the table below. NEXT YEAR'SDEMAND Alternative Low High Do nothing $ 50 * $ 60 Expand 20 80 Subcontract 40 70 * Profit in $ thousands. Which alternative should be selected if the decision criterion is (Enter your answers in thousands. Omit the "$" sign in your response.) Criterion Payoff Alternative a. Maximax $ (Click to select) Subcontract Expand Do Nothing or Subcontract Do Nothing or Expand Expand or Subcontract Do Nothing b. Maximin $ (Click to select) Subcontract Do Nothing or Expand Expand or Subcontract Expand Do Nothing Do Nothing or Subcontract c. Laplace $ (Click to select) Do Nothing or…
Techno Corporation is currently manufacturing an item at variable costs of $5 per unit. Annual fixed costs of manufacturing this item are $140,000. The current selling price of the item is $10 per unit, and the annual sales volume is 30,000 units. so Techno can substantially improve the item’s quality by installing new equipment at additional annual fixed costs of $60,000. Variable costs per unit would increase by $1, but, as more of the better-quality product could be sold, the annual volume would increase to 50,000 units. Should Techno buy the new equipment and maintain the current price of the item? Why or why not?
The owner of the Burger Doodle Restaurant is considering two ways to expand operations: open a drive-up window or serve breakfast. The increase in profits resulting from these proposed expansions depends on whether a competitor opens a franchise down the street. The possible profits from each expansion in operations, given both future competitive situations, are shown in the following payoff table: Competitor Decision Open Not Open Drive-up window $-6,000 $20,000 Breakfast 4,000 8,000 Select the best decision, using the following decision criteria. a. Maximax b. Maximin

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