A publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7500 copies. The cost of one copy of the book is $27.50. The holding cost is based on 18% annual rate, and production setup costs are $550.00. The equipment on which the book is produced has an annual production volume of 21,000 copies. The Company uses 250 working days per year and the lead time for a production run is 12 days. Assume the company is willing to tolerate one stock-out per year and that the lead time demand follows a normal distribution with a standard deviation of 75 copies. Using an appropriate Fixed Order Quantity system model compute the following: (a) Length of production run (two decimal points)  (b) Maximum inventory (use the closest Z value, answer whole number)  (c) The reorder point (whole number)  (d) Total annual stocking cost (two decimal points with no commas)

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 publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7500 copies. The cost of one copy of the book is $27.50. The holding cost is based on 18% annual rate, and production setup costs are $550.00. The equipment on which the book is produced has an annual production volume of 21,000 copies. The Company uses 250 working days per year and the lead time for a production run is 12 days. Assume the company is willing to tolerate one stock-out per year and that the lead time demand follows a normal distribution with a standard deviation of 75 copies.

Using an appropriate Fixed Order Quantity system model compute the following:

(a) Length of production run (two decimal points) 

(b) Maximum inventory (use the closest Z value, answer whole number) 

(c) The reorder point (whole number) 

(d) Total annual stocking cost (two decimal points with no commas) 

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