Using the Maximax criterion, what is the best decision and the expected payoff? Best decision Payoff
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- 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 numA 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?
- 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 regretSupposed 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?
- Come up with a decision using each of the different criteria under conditions of uncertainty using the table below. The payoff values are expressed as LOSSES.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. 105A 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
- DECISION 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?A local real estate investor in Montego Bay is considering three alternative investments: a motel,a restaurant, or a theatre. Profits from the motel or restaurant will be affected by the availabilityof gasoline and the number of tourists; profits from the theatre will be relatively stable under anyconditions. The following payoff table shows the profit or loss that could result from eachinvestment: Real Estate Investor Payoff Table Payoffs are Profits States of Nature (Gasoline Availability)Decision Alternatives Shortage Stable Supply SurplusMotel $–8,000 $15,000 $20,000Restaurant $2,000 $8,000 $6,000Theater $6,000 $6,000 $5,000 A. Which option should the real estate investor choose if he uses the LaPlace criterion? B. Using a…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…
