Exam 21: Decision-Making Tools

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In a decision tree,the expected monetary values are computed by working from right to left.

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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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A square node on a decision tree infers that

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The first step,and a key element,in the decision-making process is to

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If a decision maker can assign probabilities of occurrences to the states of nature,then the decision-making environment is Decision Making under Uncertainty.

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Earl Shell owns his own Sno-Cone business and lives 30 miles from a beach resort.The sale of Sno-Cones is highly dependent upon his location and upon the weather.At the resort,he will profit $120 per day in fair weather,$10 per day in bad weather.At home,he will profit $70 in fair weather,$55 in bad weather.Assume that on any particular day,the weather service suggests a 40% chance of foul weather. a.Construct Earl's decision tree. b.What decision is recommended by the expected value criterion?

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The expected monetary value of a decision alternative is the sum of all possible payoffs from the alternative,each weighted by the probability of that payoff occurring.

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In the context of decision-making,define alternative.

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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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A(n)________ is a graphical means of analyzing decision alternatives and states of nature.

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A do-it-yourself homeowner is installing a new toilet.While installing the toilet he must decide on what kind of connecting pipe he will install to the water supply.There are two available options,one that has a shut-off valve in case of a leak and a cheaper one without the shut-off valve.Suppose that the shut-off valve pipe costs an extra ten dollars and that the homeowner must buy one of the two. a.Draw a decision tree for this scenario,labeling the cost of a leak as X and the chance of a leak as P. b.If the chance of a leak causing household damage is 1%,at what $ amount of household damage is the owner neutral on which pipe to buy? c.If the cost of a leak would be $10,000 what is the maximum % chance to leak at which the homeowner would prefer to buy the cheaper pipe? d.If the cost of a leak is $1,000 and the chance to flood .1% which pipe should the homeowner buy?

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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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A decision maker who uses the maximin criterion when solving a problem under conditions of uncertainty is

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The campus bookstore sells highlighters that it purchases by the case.Cost per case,including shipping and handling,is $200.Revenue per case is $350.Any cases unsold will be discounted and sold at $175.The bookstore has estimated that demand will follow the pattern below The campus bookstore sells highlighters that it purchases by the case.Cost per case,including shipping and handling,is $200.Revenue per case is $350.Any cases unsold will be discounted and sold at $175.The bookstore has estimated that demand will follow the pattern below    a.Construct the bookstore's payoff table. b.How many cases should the bookstore stock in order to maximize profit? c.How would your answer differ if the clearance price were not $175 per case but $225 per case? (It is not necessary to re-solve the problem to answer this. ) a.Construct the bookstore's payoff table. b.How many cases should the bookstore stock in order to maximize profit? c.How would your answer differ if the clearance price were not $175 per case but $225 per case? (It is not necessary to re-solve the problem to answer this. )

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

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The following decision tree has how many state of nature nodes? The following decision tree has how many state of nature nodes?

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What is the expected value with perfect information in the following decision table? What is the expected value with perfect information in the following decision table?

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The square symbol used in drawing a decision trees represents a ________ node.

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The expected value with perfect information assumes that all states of nature are equally likely.

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In the context of decision-making,define state of nature.

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