Review the following scenario,and answer the questions:

A market buys T-bone steaksfrom a university's animal science department. The purchase price is$2.50 per pound,and the market sells the stick for$4.00per 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 beenas follows:

Weekly demand	Number of weeks
10	10
11	20
12	20
13	30
14	10
15	10
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.