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Question: Review the following scenario, and answer the questions:
A market buys T-bone steaks from a university's animal science department. The purchase price is $2.50 per pound, and the market sells the stick for $4.00 per pound. Steak left over at the end of the week is sold to a local cannery for $0.50 per pound. According to sales records over the past 100 weeks, demand has been as follows:
Weekly demand
Number of weeks
10
11
20
12
13
30
14
15
TOTAL
100
Construct a payoff table for the various demand and stocking quantities. Determine the best amount to stock using each of the following criteria:
a) Laplace
b) maximin
c) maximax
d) Hurwicz (a = 0.2)
e) regret (minimax)
If the market can obtain perfect information concerning the following week's demand for T-bone steak, what will the expected profit be? Determine the optimal stock quantity.
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