Question
The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier.
The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent on the demand for the product. The following payoff table shows the projected profit (in thousands of dollars):
State of Nature | ||||||
Low Demand | Medium Demand | High Demand | ||||
Decision Alternative | s 1 | s 2 | s 3 | |||
Manufacture, d 1 | -20 | 40 | 100 | |||
Purchase, d 2 | 10 | 45 | 70 |
The state-of-nature probabilities are P(s1) = 0.40, P(s2) = 0.40, and P(s3) = 0.20
(a) | Use a decision tree to recommend a decision. | ||||||||||
- Select your answer -Manufacture component partPurchase component partItem 1 | |||||||||||
(b) | Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand. Enter your answer in thousands dollars. For example, an answer of $200 thousands should be entered as 200,000. | ||||||||||
Gorman - Select your answer -shouldshould notItem 2 attempt to obtain a better estimate of demand, as the additional information could be worth up to $ for Gorman. | |||||||||||
(c) | A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (U) condition. The relevant conditional probabilities are as follows:
What is the probability that the market research report will be favorable? [Hint: We can find this value by summing the joint probability values as follows: P(F) = P(Fs1) + P(Fs2) + P(Fs3) = P(s1)P(F|s1) + P(s2)P(F|s2) + P(s3)P(F|s3) .] If required, round your answer to three decimal places. | ||||||||||
(d) | What is Gormans optimal decision strategy? Choose the correct option. | ||||||||||
- Select your answer -ABCDEItem 5 | |||||||||||
(e) | What is the expected value of the market research information? Enter your answer in thousands dollars. For example, an answer of $200 thousands should be entered as 200,000. If your answer is zero, enter 0. | ||||||||||
$ |
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