Exam 22: Decision Modeling

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Decision trees:

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Explain the symbols used in decision tree analysis.

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A decision node from which one or several alternatives may be selected is represented by a square;a state of nature node out of which states of nature will occur is represented by a circle.

What is the expected value of perfect information of the following decision table? What is the expected value of perfect information of the following decision table?

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An example of expected monetary value would be the payoff from selecting a particular alternative when a particular state of nature occurs.

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A decision maker using the maximin criterion on the problem below would choose Alternative ________ because the maximum of the row minimums is ________. A decision maker using the maximin criterion on the problem below would choose Alternative ________ because the maximum of the row minimums is ________.

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How is the expected value of perfect information (EVPI)found?

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The EMV of a decision with three states of nature is $33,000.If the profit/value under the states of nature A,B,and C is $10,000,$20,000,and $50,000,respectively,and states B and C have equal probabilities,determine the likelihood of state of nature A.

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________ is the criterion for decision making under uncertainty that assigns equal probability to each state of nature.

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What is a conditional value?

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In terms of decision theory,an occurrence or situation over which the decision maker has no control is called a(n):

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The expected value with perfect information is:

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The expected value of perfect information (EVPI)is the:

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Suppose a manufacturing plant is considering three options for expansion.The first one is to expand into a new plant (large),the second to add on third-shift to the daily schedule (medium),and the third to do nothing (small).There are three possibilities for demand.These are high,medium,and low with each having an equal likelihood of occurring.Suppose that the profits for the expansion plans are as follows (respective to high,medium,low demand).The large expansion profits are $100000,$10000,-$10000,the medium expansion choice $40000,$40000,$5000 and the small expansion choice $15000,$15000,$15000.Calculate the EMV of each choice.Which of the expansion plans should the manager choose?

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The maximax criterion of decision making requires that all decision alternatives have an equal probability of occurrence.

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The likelihood that a decision maker will ever receive a payoff precisely equal to the EMV when making any one decision is:

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An example of a conditional value would be the payoff from selecting a particular alternative when a particular state of nature occurs.

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Identify,in order,the six steps of analytical decision making.

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Miles is considering buying a new pickup truck for his lawn service firm.The economy in town seems to be growing,and he is wondering whether he should opt for a subcompact,compact,or full-size pickup truck.The smaller truck would have better fuel economy,but would sacrifice capacity and some durability.A friend at the Bureau of Economic Research told him that there is a 30% chance of lower gas prices in his area this year,a 20% chance of higher gas prices,and a 50% chance that gas prices will stay roughly unchanged.Based on this information,Miles has developed a decision table that indicates the profit amount he would end up with after a year for each combination of truck and gas prices.Develop a decision tree for this situation and indicate which type of truck he should select. Miles is considering buying a new pickup truck for his lawn service firm.The economy in town seems to be growing,and he is wondering whether he should opt for a subcompact,compact,or full-size pickup truck.The smaller truck would have better fuel economy,but would sacrifice capacity and some durability.A friend at the Bureau of Economic Research told him that there is a 30% chance of lower gas prices in his area this year,a 20% chance of higher gas prices,and a 50% chance that gas prices will stay roughly unchanged.Based on this information,Miles has developed a decision table that indicates the profit amount he would end up with after a year for each combination of truck and gas prices.Develop a decision tree for this situation and indicate which type of truck he should select.

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A decision maker using the maximax criterion on the problem below would choose Alternative ________ because the maximum of the row maximums is ________. A decision maker using the maximax criterion on the problem below would choose Alternative ________ because the maximum of the row maximums is ________.

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Analytic decision making is based on logic and considers all available data and possible alternatives.

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