Question: Finite Production Model - Please show all work A computer company can produce 73,000,000 flash drives per year but it ships out 43,800,000 flash drives

Finite Production Model - Please show all work

A computer company can produce 73,000,000 flash drives per year but it ships out 43,800,000 flash drives per year. The flash drives are produced in batches. Each flash drive cost the company 20 cents, and the holding costs are assessed 20% of the unit price annually. Shortages are not permitted. Each production run of a flash drive requires checking and re-calibration of the manufacturing equipment. The company estimates that this calibration costs $180.

  1. (a)Find the optimal sizes of each production run and the time between runs.
  2. (b)What fraction of the time is the company producing flash drives?
  3. (c)What are the maximum inventory level of flash drives and the maximum dollar value of that inventory?

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