How many units of capacity should be built to minimize the total cost of providing capacity plus lost sales?

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Suppose we are considering the question of how much capacity to build in the face of uncertain demand. Assume that the cost is $20 per unit of lost sales due to insufficient capacity. Also assume that there is a cost of $7 for each unit of capacity built. The probability of various demand levels is as follows: a.

Suppose we are considering the question of how much capacity to build in the face of uncertain demand. Assume that the cost is $20 per unit of lost sales due to insufficient capacity. Also assume that there is a cost of $7 for each unit of capacity built. The probability of various demand levels is as follows: a. How many units of capacity should be built to minimize the total cost of providing capacity plus lost sales? b. State a general rule regarding the amount of capacity to build. c. What principle does this problem illustrate?

b. State a general rule regarding the amount of capacity to build. c. What principle does this problem illustrate?

 

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