Exam 21: Decision-Making Tools

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The EMV of a decision with three states of nature is $50.If the profit/value of A is 1/3 of B and B is 1/3 of C,determine the profit from A if B and C have an equal chance of occurring that combined is twice the chance of A occurring.

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The probabilities of all three states are equal from the question (1 + 1)/2 = 1.Thus the total payoff is simply the average of the three payoffs or 1/9 + 1/3 + 1 = 13/27 if the value of C is 1.Solving for 13/27 ∗ C = 50 gives C = $103.85.Thus A = $11.54.This problem could also be solved by setting the value of A to X and solving 50 = (X + 3X + 3 ∗ 3X)/3 to give X = $11.54 = A.

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

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1.Clearly define the problem and factors that influence it.
2.Develop specific and measurable objectives.
3.Develop a model-that is,a relationship between objectives and variables (which are
measurable quantities).
4.Evaluate each alternative solution based on its merits and drawbacks.
5.Select the best alternative.
6.Implement the decision and set a timetable for completion.

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 retailer is deciding how many of a certain product to stock.The historical probability distribution of sales for this product is 0 units,0.2;1 unit,0.3;2 units,0.4,and 3 units,0.1.The product costs $8 per unit and sells for $25 per unit.The conditional value for the decision alternative "Stock 3" and state of nature "Sell 1" is

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The expected value with perfect information is

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Expected monetary value is most appropriate for problem solving that takes place

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

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The expected value with perfect information

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What are decision tables?

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Describe the meaning of EVPI.Provide an example in which EVPI can help a manager.

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What limitation(s)do decision trees overcome compared to decision tables?

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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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Which of the following is not considered a step in the decision-making process?

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The highest value for the equally likely criterion is ________;this occurs with alternative ________. The highest value for the equally likely criterion is ________;this occurs with alternative ________.

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The last step of the decision-making process is to

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If a decision maker knows for sure which state of nature will occur,he/she is making a decision under certainty.

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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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There are three equally likely states of nature (High,Medium,and Low demand).If the large factory will post profits of $50,000,$25,000,and - $10,000 under these states of nature,respectively,what is the EMV of the factory?

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In a decision tree,a square symbol represents a state of nature node.

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

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