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The Supermarket Store is about to place an order for Halloween candy. One best- selling brand of candy can be purchased at $ 2.40 per box and usually is sold for $ 4.25 per box before and up to Halloween. After Halloween, all the remaining candy can be sold for $ 1.00 per box. Demand for the candy at the regular price is a random variable with the following discrete probability distribution:
Demand (boxes)
Probability
8
0.25
9
0.15
10
0.20
11
12
You are required to:
a. Complete the following table to determine the optimal order quantity (Q*).
Each entry in the table represents the profit made by the store for a given combination of demand and stocking quantity.
Demand in
boxes
Q=8
Q=9
Q=10
Q=11
Q=12
Expected profit
b. Determine the optimal order quantity using the critical ratio. Does this order quantity correspond to the answer in part a?
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