A manufacturing plant has reached full capacity. The company must build a second plant—eithersmall or large—at a nearby location. The demand is likely to be high or low. The probability of low demand is 0.4. If demand is​ low, the large plant has a present value of $6 million and the small​ plant, $9 million. If demand is​ high, the large plant pays off with a present value of $20 million and the small plant with a present value of only $11 million.​ However, the small plant can be expanded later if demand proves to be​ high, for a present value of $13 million.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A manufacturing plant has reached full capacity. The company must build a second plant—eithersmall or large—at a nearby location. The demand is likely to be high or low. The probability of low demand is 0.4. If demand is​ low, the large plant has a present value of $6 million and the small​ plant, $9 million. If demand is​ high, the large plant pays off with a present value of $20 million and the small plant with a present value of only $11 million.​ However, the small plant can be expanded later if demand proves to be​ high, for a present value of $13 million.

b. What should management do to achieve the highest expected payoff?
The management should build a
in order to achieve the highest expected payoff of $
million. (Enter your response rounded to one decimal place.)
Transcribed Image Text:b. What should management do to achieve the highest expected payoff? The management should build a in order to achieve the highest expected payoff of $ million. (Enter your response rounded to one decimal place.)
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