Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 9, Problem 72P
Summary Introduction
To explain: The meaning of the two numbers and certainty equivalent of the safer decision.
Decision making under uncertainty:
The decision-making process is made with uncertainty as to the managers who make these decisions must deal with the risk and uncertainty present in each outcome.
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Using the following table, perform ALL FIVE of the techniques for Decision Making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.7), LaPlace and Minimax Regret. Use the .50 for the probability of a Good Economy and .50 for the probability of a Poor Economy. You must show your work for obtaining the points.
STATE OF NATURE
DECISION ALTERNATIVE
GOOD ECONOMY
POOR ECONOMY
Sotck market
80,000
-20,000
Bonds
30,000
20,000
CDs
23,000
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Using the following table, perform ALL FIVE of the techniques for Decision Making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.7), LaPlace and Minimax Regret. Use the .50 for the probability of a Good Economy and .50 for the probability of a Poor Economy. You must show your work.
STATE OF NATURE
DECISION ALTERNATIVE
GOOD ECONOMY
POOR ECONOMY
Sotck market
80,000
-20,000
Bonds
30,000
20,000
CDs
23,000
23,000
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?
Chapter 9 Solutions
Practical Management Science
Ch. 9.2 - Prob. 1PCh. 9.2 - Prob. 2PCh. 9.2 - Prob. 3PCh. 9.3 - Prob. 4PCh. 9.3 - Prob. 5PCh. 9.3 - Prob. 6PCh. 9.3 - Prob. 7PCh. 9.4 - Explain in some detail how the PrecisionTree...Ch. 9.4 - Prob. 9PCh. 9.4 - Prob. 10P
Ch. 9.5 - Prob. 11PCh. 9.5 - Prob. 12PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 17PCh. 9.5 - Prob. 18PCh. 9.5 - Prob. 19PCh. 9.5 - Prob. 21PCh. 9.5 - The model in Example 9.3 has only two market...Ch. 9.6 - Prob. 26PCh. 9.6 - Prob. 27PCh. 9.6 - Prob. 28PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 34PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 46PCh. 9 - Prob. 48PCh. 9 - Prob. 53PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - Prob. 77P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
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- Which of the following gambles has the largest objective risk? 20% chance of winning $100 and 80% chance of losing $100 50% chance of winning $10,000 and 50% chance of losing $10,000 50% chance of winning nothing and 50% chance of losing $100 50% chance of winning $100 and 50% chance of winning nothingarrow_forwardYou are planning to rent a car for a one-week vacation. You have the option of buying an insurance that costs $80 dollars for a week. If you do not purchase insurance, you would be personally liable for any damages. You anticipate that a minor collision will cost $2,000, whereas a major accident might cost $16,000 in repairs. Develop a payoff table for this situation. What decision should you make using each strategy? Aggressive (Optimistic) Conservative (Pessimistic) Opportunity Loss You have recently read in a magazine that that the probability of a major accident is 0.05% and that the probability of a minor collision is 0.18%. Construct a decision tree and identify the best expected value decision.arrow_forwardSelect the least accurate statement. A) The expected monetary value (EMV) criterion represents the long-run average of uncertain outcomes, so it should only be used for recurring decisions. b) For each possible decision and each possible outcome, the payoff table lists the associated monetary value. c)The certainty equivalent is the certain dollar amount a risk-averse decision maker would accept in order to avoid a gamble altogether. D) For a risk-averse decision maker, the certainty equivalent is less than the expected monetary value (EMV).arrow_forward
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