Demand for an item is at the rate of 200 units per day. Stock will be replenished immediately upon order. Each order made will be charged a preparation cost of RM100.00, while a unit of goods that is kept in stock for a day will be charged a cost of RM0.50. Shortages are allowed to occur at a cost of RM3.00 for each unit of goods that are reduced for a day. Determine (i) the optimum order quantity (ii) the maximum allowable deficit size.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Demand for an item is at the rate of 200 units per day. Stock will be replenished immediately upon order. Each order made will be charged a preparation cost of RM100.00, while a unit of goods that is kept in stock for a day will be charged a cost of RM0.50. Shortages are allowed to occur at a cost of RM3.00 for each unit of goods that are reduced for a day.

Determine
(i) the optimum order quantity
(ii) the maximum allowable deficit size.

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