9 A decision maker has prepared the following payoff table.States of NatureAlternativeHighLowBuy85-10Rent7045Lease4540Using the Maximax criterion, what is the best decision and the expected payoff?Best decisionPayoff4.

Decision Table Alternatives High Low Buy 85 -10 Rent 70 45 Lease 45 40

Answered: A decision maker has prepared the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 76P

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A landlord can either lease for one or two years or sell offices outrightly for K100 million with payoffs as follows: Lease -100 50 150 Sell 100 100 100 The probability of rejecting is 30%, leasing for one year is 50% and for two years 20%. Required: What is the optimal decision strategy if perfect information were available? What is the expected value of perfect information? A decision maker is looking to minimising costs through three alternative decisions a1 , b2 and c3 under two states of nature/events S1 and S2 with S1 having a probability of 30% . For a1 payoffs for s1 K100 million and s2 K540 million For a2 payoff for s1 K150 million and s2 –K50 million For a3 payoff for s1 K350 million and s2 K320 million Required: Find EMV and recommend the course of action Find the…
A payoff table is given as: S1 S2 S3 D1 250 750 500 D2 300 -250 1200 D3 500 500 600 (a) What choice should be made by the optimistic decision maker? (b) What choice should be made by the conservative decision maker? (c) What decision should be made under minimal regret? (d) If the probabilities of d1, d2, and d3 are .2, .5, and .3, respectively, then what choice should be made under expected value?
Consider the following payoff table for three product decisions (A, B, and C) and three future market conditions (payoffs = P millions) Assume that is now possible for the company to estimate a probability of 0.40 that market condition1 will exist, 0.40 for market condition 2 and a probability of 0.20 that market condition 3 will exist in the future. Determine the best decision using expected value. Determine the expected value of perfect information (EVPI)?Determine the best decision using expected opportunity loss.
The following payoff table provides profits based on various possible decision alternatives adn various levels of demand at Robert Klassan's print shop: decision low high alt 1 $10,000 $36,000 alt 2 $6,000 $38,000 alt 3 -$2500 $52,000 The probability of low demand is 0.40 whereas the probability of high demand is 0.60. a) The alternative that provides Robert the greatest expected monetary value is _________ The EMV for this decision is $_______ b) The expected value with perfect information (EVwPI)= $______ c) The expected value of perfect information (EVPI) for Robert= $________
Carlisle Tire and Rubber, Inc., is considering expanding production to meet potential increases in the demand for one of its tire products. Carlisle’s alternatives are to construct a new plant, expand the existing plant, or do nothing in the short run. The market for this particular tire product may expand, remain stable, or contract. Carlisle’s marketing department estimates the probabilities of these market outcomes to be 0.25, 0.35, and 0.40, respectively. The file P06_31.xlsx (picture of given excel file is attached) contains Carlisle’s payoffs and costs for the various combinations of decisions and outcomes. Identify the strategy that maximizes this tire manufacturer’s expected profit. Perform a sensitivity analysis on the optimal decision, letting each of the monetary inputs vary one at a time plus or minus 10% from its base value, and summarize your findings. Which of the inputs appears to have the largest effect on the best solution?
Dwayne Whitten, president of Whitten Industries, is considering whether to build a manufacturing plant in north Texas. His decision is summarized in the following table: Alternatives Favorable Market Unfavorable Market Build large plant $400,000 −$300,000 Build small plant $120,000 −$15,000 Don't Build $0 $0 Market Probability 0.40 0.60 a) The correct decision tree for Dwayne is shown in Figure ____ (all payoffs are in thousands). b) To maximize the return, Dwayne's decision should be to ______ . c) For Dwayne, the expected value of perfect information (EVPI) = $___________ (enter your answer as a whole num
The following payoff table shows a profit for a decision analysis problem with two decision alternatives and three states of nature. In order to get full credit, show your all work done step by step including cell calculations using excel functions. State of Nature Decion Alternatives s1 s2 s3 d1 250 100 50 d2 100 75 100 a) Construct a decision tree for this problem. b) Suppose that the decision-maker obtains the probabilities P(s1)=0.65, P(s2)=0.15, and P(s3)=0.20. Use the expected value approach to determine the optimal decision.
If you want to invest in a project that cost $3.5 million. As we are unsure about the future demand, there is a 40% probability of high demand with a present value for the project $3 million. There is a 25% probability of moderate demand with a present value of $2.5 million. In addition, there is a 35% probability of low demand with a present value is $1.5 million. Draw a decision tree for this problem. What is the expected net present value of the business? Should you invest? Explain. Assume that you can expand the project by investing another $0.6 million after you learn the true future demand state. This would make the present value of the business $3.9 million in the high‐demand state, $3.5 million in the moderate demand state, and $1.80 million in the low demand state. Draw a decision tree to reflect the option to expand. Evaluate the alternatives. What is the net present value of the business if you consider the option to expand? How valuable is the option to expand?
A decision maker is looking to minimising costs through three alternative decisions a1 , b2 and c3 under two states of nature/events S1 and S2 with S2 having a probability of 30% . For a1 payoffs for s1 K100 million and s2 K540 million For a2 payoff for s1 K150 million and s2 –K50 million For a3 payoff for s1 K350 million and s2 K320 million Find EMV and recommend the course of action Find the EMV under certainty Use the EVC to find the EVPI Determine the opportunity loss table Find the course of action that minimises EOL Compare the minimum EOL with the EVPI.
A television network earns an average of $1.6 million each season from a hit program and loses an averageof $400,000 each season on a program that turns out to be a flop, and of all programs picked up by thisnetwork in recent years, 25% turn out to be hits and 75% turn out to be flops. a) Construct a decision tree to help the television network identify the strategy that maximizes itsexpected profit in responding to a newly proposed television program. Make sure to label all decisionand chance nodes and include appropriate costs, payoffs and probabilities. b) What should the network do? What is their expected profit? c) The network can conduct market research to determine whether a program will be a hit or a flop. Ifthe market research report is perfectly reliable, what is the most the network should be willing to payfor it? Can you please include pictures of excel sheets. Having trouble determining what the excel sheet should look like
Exhibit 20-2Below is a payoff table involving three states of nature and two decision alternatives. Decision States of Nature Alternative s1 s2 s3 A 80 45 –20 B 40 50 15 P(s1) = .1, P(s2) = .6, and P(s3) = .3.Refer to Exhibit 20-2. The expected value of the best alternative equals _____. a. 12 b. 38.5 c. 29 d. 105
Answer A.2 a-e a-c is in the picture here is d and e d) What is the qually likely decision? e) Develop a decision tree. Assume each outcome is equally likely, then find the highest EMV.

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A decision maker has prepared the following payoff table. States of Nature Alternative Buy High Low 85 -10 Rent 70 45 Lease 45 40 Using the Maximax criterion, what is the best decision and the expected payoff? Best decision Payoff