HAL Ltd. produces a line of high-capacity disk drives for computers. The housings for the drives are produced in Hamilton, Ontario at a rate of 250 housings per month, and shipped to the main plant in Toronto. The housings cost HAL $100 each to produce, and the setup cost for beginning a production run is $500. HAL uses the drive housings at a fairly steady rate of 1400 per year. Assume an annual interest rate of 25% for determining the holding cost. What is the optimal number of housings for HAL to produce in each production run? For the optimal production size, what proportion of each production cycle consists of uptime and what proportion consists of downtime? Assuming that HAL produces the optimal number of housings in each production run, what is the maximum on-hand inventory level of these housings? What is the annual cost of holding and setup?

Practical Management Science
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Author:WINSTON, Wayne L.
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HAL Ltd. produces a line of high-capacity disk drives for computers. The housings for the drives are produced in Hamilton, Ontario at a rate of 250 housings per month, and shipped to the main plant in Toronto. The housings cost HAL $100 each to produce, and the setup cost for beginning a production run is $500. HAL uses the drive housings at a fairly steady rate of 1400 per year. Assume an annual interest rate of 25% for determining the holding cost.

  1. What is the optimal number of housings for HAL to produce in each production run?
  2. For the optimal production size, what proportion of each production cycle consists of uptime and what proportion consists of downtime?
  3. Assuming that HAL produces the optimal number of housings in each production run, what is the maximum on-hand inventory level of these housings? What is the annual cost of holding and setup?
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