Work opportunities exceeding the firms capacity


Problem: A small building contractor has recently experienced two successive years in which work opportunities exceeded the firm’s capacity. The contractor must now make a decision on capacity for next year. Estimate profits under each of the two possible states of nature are as shown in the table below.  Which alternative should be selected if the decision criterion is

a. Maximax?
b. Maximin?
c. Laplace?
d. Minimax regret?

Next Year's Demand

Alternative                           Low                     High

Do nothing                           $50*                    $60

Expand                                 20                        80

Subcontract                          40                         70

*Profit in $ thousands

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