Complete the given table to find out the optimal order

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Reference no: EM13477954

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

0.25

12

0.15

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

Probability

Q=8

Q=9

Q=10

Q=11

Q=12

8

0.25

 

 

 

 

 

9

0.15

 

 

 

 

 

10

0.20

 

 

 

 

 

11

0.25

 

 

 

 

 

12

0.15

 

 

 

 

 

Expected profit

 

 

 

 

 

b.  Determine the optimal order quantity using the critical ratio. Does this order quantity correspond to the answer in part a?

Reference no: EM13477954

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