Exam 4: Decision Analysis

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Square nodes in a decision tree indicate that a decision must be made.

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Circular nodes in a decision tree indicate that it would be incorrect to choose a path from the node.

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Fold back the decision tree and state what strategy should be followed. Fold back the decision tree and state what strategy should be followed.

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For a maximization problem,the optimistic approach is often referred to as the

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For a maximization problem,the conservative approach is often referred to as the

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Explain why the decision maker might feel uncomfortable with the expected value approach,and decide to use a non-probabilistic approach even when probabilities are available.

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The Sunshine Manufacturing Company has developed a unique new product and must now decide between two facility plans.The first alternative is to build a large new facility immediately.The second alternative is to build a small plant initially and to consider expanding it to a larger facility three years later if the market has proven favorable. Marketing has provided the following probability estimates for a ten-year plan: First 3-Year Demand Next 7-Year Demand Frobability Unfavorable Unfavorable .2 Unfavorable Favorable .0 Favorable Favorable .7 Favorable Unfavorable .1 If the small plant is expanded,the probability of demands over the remaining seven years is 7/8 for favorable and 1/8 for unfavorable.The accounting department has provided the payoff for each outcome: Demand Facility Plan Payoff Favorable, favorable 1 \ 5,000,000 Favorable, unfavorable 1 2,500,000 Unfavorable, unfavorable 1 1,000,000 Favorable, favorable 2--expanded 4,000,000 Favorable, unfavorable 2-expanded 100,000 Favorable, favorable 2-not expanded 1,500,000 Favorable, unfavorable 2--not expanded 500,000 Unfavorable, unfavorable 2-not expanded 300,000 With these estimates,analyze Sunshine's facility decision and: a. Perform a complete decision tree analysis. b. Recommend a strategy to Sunshine. c. Determine what payoffs will result from your recommendation.

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Sample information with an efficiency rating of 100% is perfect information.

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The approach to determine the optimal decision strategy involves

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To find the EVSI,

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Sensitivity analysis considers

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Decision tree probabilities refer to the probability of

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A decision tree provides:

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Why perform sensitivity analysis? Of what use is sensitivity analysis where good probability estimates are difficult to obtain?

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A decision tree

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The expected value of sample information can never be less than the expected value of perfect information.

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Making a good decision

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An appliance dealer must decide how many (if any)new microwave ovens to order for next month.The ovens cost $220 and sell for $300.Because the oven company is coming out with a new product line in two months,any ovens not sold next month will have to be sold at the dealer's half price clearance sale.Additionally,the appliance dealer feels he suffers a loss of $25 for every oven demanded when he is out of stock.On the basis of past months' sales data,the dealer estimates the probabilities of monthly demand (D)for 0,1,2,or 3 ovens to be .3,.4,.2,and .1,respectively. The dealer is considering conducting a telephone survey on the customers' attitudes towards microwave ovens.The results of the survey will either be favorable (F),unfavorable (U)or no opinion (N).The dealer's probability estimates for the survey results based on the number of units demanded are: P(F | D = 0)= .1 P(F | D = 2).3 P(U | D = 0)= .8 P(U | D = 2)= .1 P(F | D = 1)= .2 P(F | D = 3).9 P(U | D = 1)= .3 P(U | D = 3)= .1 a.What is the dealer's optimal decision without conducting the survey? b.What is the EVPI? c.Based on the survey results what is the optimal decision strategy for the dealer? d.What is the maximum amount he should pay for this survey?

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After all probabilities and payoffs are placed on a decision tree,the decision maker calculates expected values at state of nature nodes and makes selections at decision nodes.

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A payoff table is given as State of Nature Decision s1 s1 s3 10 8 6 14 15 2 7 8 9 a.What decision should be made by the optimistic decision maker? b.What decision should be made by the conservative decision maker? c.What decision should be made under minimax regret? d.If the probabilities of s1, s2, and s3 are .2, .4, and .4, respectively, then what decision should be made under expected value? e.What is the EVPI?

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