A mail-order house uses 18,000 boxes a year. Carrying costs are 60 cents per box a year, andordering costs are $96. The following price schedule applies. Determine the following:a. The optimal order quantityb. The number of orders per yearNumber of Boxes Price per Box1,000 to 1,999 $1.25 2,000 to 4,999 1.205,000 to 9,999 1.1510,000 or more 1.10

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 22P
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A mail-order house uses 18,000 boxes a year. Carrying costs are 60 cents per box a year, and
ordering costs are $96. The following price schedule applies. Determine the following:
a. The optimal order quantity
b. The number of orders per year
Number of Boxes Price per Box
1,000 to 1,999 $1.25
2,000 to 4,999 1.20
5,000 to 9,999 1.15
10,000 or more 1.10

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,