Exam 21: Decision-Making Tools

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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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The highest value for the equally likely criterion is __________; this occurs with alternative __________. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{ \text { States of Nature } } \\ \begin{array} { | l | c | c | } \hline \text { Alternatives } & \underline { \mathrm { S } } \underline { 1 } & \underline { \mathrm { S } } 2 \\ \hline \text { Option 1 } & \$ 10,000 & \$ 30,000 \\ \hline \text { Option 2 } & \$ 5,000 & \$ 45,000 \\ \hline \text { Option 3 } & \$ - 4,000 & \$ 60,000 \\ \hline \end{array}

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

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Decision trees

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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 Demand level Probability 10 cases 20 percent 11 cases 20 percent 12 cases 40 percent 13 cases 15 percent 14 cases 5 percent 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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The expected value with perfect information assumes that all states of nature are equally likely.

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__________ is the criterion for decision making under uncertainty that finds an alternative that maximizes the minimum outcome or consequences.

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

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What is the EMV for Option 2 in the following decision table? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{ \text { States of Nature } } \\ \begin{array} { | l | c | c | } \hline \text { Alternatives } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } \\ \hline \mathrm { p } & .6 & .4 \\ \hline \text { Option 1 } & 200 & 300 \\ \hline \text { Option } 2 & 50 & 350 \\ \hline \end{array}

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The decision criterion that would be used by an optimistic decision maker solving a problem under conditions of uncertainty would be the

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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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Steve Gentry, the operations manager of Baja Fabricators, wants to purchase a new profiling machine (it cuts compound angles on the ends of large structural pipes used in the fabrication yard). However, because the price of crude oil is depressed, the market for such equipment is down. Steve believes that the market will improve in the near future and that the company should expand its capacity. The table below displays the three equipment options he is currently considering, and the profit he expects each one to yield over a two-year period. The consensus forecast at Baja is that there is about a 30% probability that the market will pick up "soon" (within 3 to 6 months) and a 70% probability that the improvement will come "later" (in 9 to 12 months, perhaps longer). Profit from Capacity Investment (in Dollars) Equipment Option Market picks up "soon" p=0.30 Market picks up "later" p=0.70 Manual Machine -120000 210000 NC Machine 140000 160000 CNC Machine 200000 -200000 a. Calculate the expected monetary value of each decision alternative. b. Which equipment option should Steve take?

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What are decision tables?

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__________ is the expected payout or value of a variable that has different possible states of nature, each with an associated probability.

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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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When solving decision trees, what phrase represents the act of dropping an alternative from consideration because it is less favorable than another available option?

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A problem that involves a sequence of decisions

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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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Which technique results in an optimistic decision? Why?

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