The Steak and Chop Butcher Shop purchases steak from a local
The Steak and Chop Butcher Shop purchases steak from a local meatpacking house. The meat is purchased on Monday at $2.00 per pound, and the shop sells the steak for $3.00 per pound. Any steak left over at the end of the week is sold to a local zoo for $.50 per pound . The possible demands for steak and the probability of each are shown in the following table:
Demand (lb.) Probability
20 .10
21 .20
22 .30
23 .30
24 .10
1.00
The shop must decide how much steak to order in a week. Using Excell, construct a payoff table for this decision situation and determine the amount of steak that should be ordered, using expected value.
Solution
The amount of steak that should be ordered is 22.1
| x | p(x) | x*p(x) | |
| 20 | 0.1 | 2 | |
| 21 | 0.2 | 4.2 | |
| 22 | 0.3 | 6.6 | |
| 23 | 0.3 | 6.9 | |
| 24 | 0.1 | 2.4 | |
| 1 | 0 | 0 | |
| sum | 22.1 |
