Exam 19: Introduction to Decision Analysis

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The more complex the decision the less useful decision analysis is.

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Explain the difference between a good decision and a good outcome in an environment of uncertainty.

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For each decision alternative there is only one payoff possible.

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Given the following payoff table and probabilities for each state of nature,answer the questions below. Given the following payoff table and probabilities for each state of nature,answer the questions below.   Probabilities: P(S<sub>1</sub>)= .2 P(S<sub>2</sub>)= .5 P(S<sub>3</sub>)= .3 Find the expected value of perfect information. Probabilities: P(S1)= .2 P(S2)= .5 P(S3)= .3 Find the expected value of perfect information.

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Julie is planning to open a restaurant and is considering two possible locations.She has estimated the payoff for each location for each of three different possible levels of restaurant popularity (state of nature)as shown below. Julie is planning to open a restaurant and is considering two possible locations.She has estimated the payoff for each location for each of three different possible levels of restaurant popularity (state of nature)as shown below.   Suppose that Julie estimates the following probabilities for each level of restaurant popularity.   The expected value of perfect information is 70. Suppose that Julie estimates the following probabilities for each level of restaurant popularity. Julie is planning to open a restaurant and is considering two possible locations.She has estimated the payoff for each location for each of three different possible levels of restaurant popularity (state of nature)as shown below.   Suppose that Julie estimates the following probabilities for each level of restaurant popularity.   The expected value of perfect information is 70. The expected value of perfect information is 70.

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A bakery makes fresh donuts every morning.If any are left at the end of the day they are donated to a homeless shelter.The number of donuts that can be sold each day is uncertain and the bakery must decide early each morning,how many donuts to make that day.The bakery has created the following payoff table to summarize the situation. A bakery makes fresh donuts every morning.If any are left at the end of the day they are donated to a homeless shelter.The number of donuts that can be sold each day is uncertain and the bakery must decide early each morning,how many donuts to make that day.The bakery has created the following payoff table to summarize the situation.   The opportunity loss for making many donuts (A<sub>3</sub>)and demand being Moderate (S<sub>2</sub>)is 200. The opportunity loss for making many donuts (A3)and demand being Moderate (S2)is 200.

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In folding back a decision tree,one works from left to right.

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An investor has $1000 to invest and is considering the four alternatives shown below.How well each investment does depends on the state of the economy.The payoff table is shown below. An investor has $1000 to invest and is considering the four alternatives shown below.How well each investment does depends on the state of the economy.The payoff table is shown below.   Based on the maximax criterion,which investment should be chosen? Based on the maximax criterion,which investment should be chosen?

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Assume that you need to choose between two alternatives and know that the expected value for A1 is 400,as shown in the decision tree below. Assume that you need to choose between two alternatives and know that the expected value for A<sub>1</sub> is 400,as shown in the decision tree below.   You want to determine how sensitive the choice between the two alternatives is to the probability of S<sub>1</sub> occurring.In conducting sensitivity analysis on the probability of S<sub>1</sub>,the probability value that you would find is p = 0.5. You want to determine how sensitive the choice between the two alternatives is to the probability of S1 occurring.In conducting sensitivity analysis on the probability of S1,the probability value that you would find is p = 0.5.

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Expected value refers to the average outcome (payoff)that the decision maker would expect to receive over the long run if the decision is repeated many times.

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A payoff table shows the payoff for each combination of alternative and state of nature.

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Decision trees are helpful in visually structuring the problem and seeing all the possible sequences of events.

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In a decision tree the sum of all probabilities in the tree must be equal to 1.0.

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Assume that you have a riding lawn mower that is in need of repairs.You can choose to repair or replace it.You are interested in your net cost over the next two years.If you choose to repair,it will cost $300 and there is a 50/50 chance of whether or not it will need additional repairs within the next two years.If it does need additional repairs,there is a 40 percent chance of needing another $400 of repairs,and a 60 percent chance of needing another $200 of repairs.At the end of the two years you estimate that the repaired mower would be worthless. If you choose to replace the mower by trading in the old mower,the cost after deducting the trade in value is $1500.At the end of the two years you estimate there is a 75 percent chance you could resell it for $1000,and a 25 percent chance that you can resell it for $1300. After drawing the tree and folding back,the expected value of replacing the mower (by trading in)is a cost of $425.

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The two primary decision environments are certainty and uncertainty.

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The maximin criterion is an optimistic decision criterion.

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Which of the following is true?

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When the outcome of a decision is bad this does not necessarily mean that the decision was bad.

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Payoff refers to the net profit or loss resulting from a combination of alternative and state of nature.

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Payoff and state of nature are two different terms for the same thing.

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