In Example 4b, suppose that the department store incurs an

Chapter 4, Problem 34P

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QUESTION:

Problem 34P

In Example 4b, suppose that the department store incurs an additional cost of c for each unit of unmet demand. (This type of cost is often referred to as a goodwill cost because the store loses the goodwill of those customers whose demands it cannot meet.) Compute the expected profit when the store stocks 5 units, and determine the value of s that maximizes the expected profit.

        

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QUESTION:

Problem 34P

In Example 4b, suppose that the department store incurs an additional cost of c for each unit of unmet demand. (This type of cost is often referred to as a goodwill cost because the store loses the goodwill of those customers whose demands it cannot meet.) Compute the expected profit when the store stocks 5 units, and determine the value of s that maximizes the expected profit.

        

ANSWER:

Solution 34P

Step1 of 2:

From the given problem we have a store incurs an additional cost of c for each unit of unmet demand.

We need to compute the expected profit when the store stocks 5 units, and determine the value of s that maximizes the expected profit.


Step2 of 2:

Consider, For a cost c per unit of unmet demand:

    if 

if 

Now,

     

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