A manager is trying to decide whether to build a small, medium, or large facility. Demand can be low, average, or high, with the estimated probabilities being 0.40, 0.35, and 0.25, respectively.

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Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
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Chapter5: Probability: An Introduction To Modeling Uncertainty
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A manager is trying to decide whether to build a small, medium, or large facility. Demand can be low, average, or high,
with the estimated probabilities being 0.40, 0.35, and 0.25, respectively.
A small facility is expected to earn an after-tax net present value of just $11,000 if demand is low. If demand is
average, the small facility is expected to earn $15,000; it can be increased to medium size to earn a net present value
of $50,000. If demand is high, the small facility is expected to earn $25,000 and can be expanded to medium size to
earn $70,000 or to large size to earn $100,000.
A medium-sized facility is expected to lose an estimated $75,000 if demand is low and earn $90,000 if demand is
average. If demand is high, the medium-sized facility is expected to earn a net present value of $100,000; it can be
expanded to a large size for a net payoff of $115,000.
If a large facility is built and demand is high, earnings are expected to be $180,000. If demand is average for the large
facility, the present value is expected to be $80,000; if demand is low, the facility is expected to lose $80,000.
Which alternative is best according to each of the following decision criterion? (Enter your responses as whole
numbers.)
Criterion
a. Maximin
b. Maximax
c. Minimax regret
Decision
Small facility
Large facility
Medium facility
Value of Return
$ thousand
$ thousand
$ thousand
Transcribed Image Text:A manager is trying to decide whether to build a small, medium, or large facility. Demand can be low, average, or high, with the estimated probabilities being 0.40, 0.35, and 0.25, respectively. A small facility is expected to earn an after-tax net present value of just $11,000 if demand is low. If demand is average, the small facility is expected to earn $15,000; it can be increased to medium size to earn a net present value of $50,000. If demand is high, the small facility is expected to earn $25,000 and can be expanded to medium size to earn $70,000 or to large size to earn $100,000. A medium-sized facility is expected to lose an estimated $75,000 if demand is low and earn $90,000 if demand is average. If demand is high, the medium-sized facility is expected to earn a net present value of $100,000; it can be expanded to a large size for a net payoff of $115,000. If a large facility is built and demand is high, earnings are expected to be $180,000. If demand is average for the large facility, the present value is expected to be $80,000; if demand is low, the facility is expected to lose $80,000. Which alternative is best according to each of the following decision criterion? (Enter your responses as whole numbers.) Criterion a. Maximin b. Maximax c. Minimax regret Decision Small facility Large facility Medium facility Value of Return $ thousand $ thousand $ thousand
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