A decision maker has prepared the following payoff table. States of Nature Alternative High Low Buy 100 Rent 60 35 Lease 60 45 Using the Maximax criterion, what is the best decision and the expected payoff? Best decision Payoff
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- 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.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 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= $________Robert Ragsdale is trying to decide if he should purchase repair and replacement insurance on a new laptop computer that he is planning to purchase. The policy costs $400.00 at the time of purchase, and over the next three years will replace the laptop if it is stolen or repair it if it is broken. The following table contains the total costs of this decision. Which alternative is best, according to each of the following decision criteria? Maximin Maximax Laplace Minimax regretDECISION THEORY. A man has to decide wheter to resign or not from his present position and apply for a job offering him 2x his present salary, that is if he passes the qualifying test. At present, he receives $3000 monthly compensation. The offer from another company has a condition that he will not be allowed to take the qualifying test, he will immediately be taken in and have a monthly pay of $6000. If he fails, he will remain jobless, he feels that his chance of passing the test is 35%. Suppose he decides to base his decision on expected value, should he resign from his post or not?
- 2. A real estate developer must decide on a plan for developing a certain piece of property. After careful consideration, the developer has two acceptable alternatives: residential proposal or commercial proposal. The main factor or state of nature that will influence the profitability of the development is whether or not a shopping center is built close by and the size of the shopping center. There is a 20% chance of no center being built, a 50% chance of a medium shopping center built, and a 30% chance of a large shopping center. If the developer selects the residential proposal and no center is built, he has a further set of options: do nothing $400,000 payoff; build a small shopping center himself $700,000 payoff; or put in a park resulting in $800,000 payoff. Should a medium shopping center be built nearby, his payoff for residential would be $1,600,000 and large shopping center results in a $1,200,000 payoff. If the developer selects the commercial proposal and no center is…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 70Carlisle 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?
- Supposed that a decision-maker faced with four decision alternatives and four states of nature develops the following profit payoff table.1. If the decision-maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the MAXIMAX criterion?2. What decision alternative will he choose if using the MAXIMIN criterion?3. What about MINIMAX REGRET CRITERION?4. What decision would he make if using the criterion of realism at alpha 0.6 is used?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…Adam has been offered to open up a Service station. However, the size of the establishment will be based on his decision. The annual return and investment required will be based on both size and market condition. To help out in the decision making, Adam has done the analysis and the expected profit/loss are shown in the table: Develop a decision table for this? What is the maximax decision? What is the equally likely decision? Develop a decision tree. Assume each outcome is equally likely, then find the highest expected monetory value (EMV).
