Find the optimal order quantity of leaflet and the minimized total cost of ordering and carrying. Determine the time (in month) between two consecutive orders. Determine the required safety stock and reorder point to achieve a 97% service level. (Round up to the nearest integer where reasonable and appropriate.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A travel agency has a branch in Tsim Sha Tsui. The number of leaflets distributed to customers at the branch is normally distributed with a mean of 60 copies and a standard deviation of 15 copies each day. The branch operates 300 days per year. The cost of each leaflet is $4 and the carrying cost of each leaflet is 20% per year. The leaflets are supplied by a print shop with a fixed set up cost of $250 per order placement. The delivery leadtime is 6 days.

  1. Find the optimal order quantity of leaflet and the minimized total cost of ordering and carrying.
  2. Determine the time (in month) between two consecutive orders.
  3. Determine the required safety stock and reorder point to achieve a 97% service level. (Round up to the nearest integer where reasonable and appropriate.)
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