A mail-order house uses 17,460 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies.  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 a. Determine the optimal order quantity. b. Determine the number of orders per year.

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 17,460 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. 
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

a. Determine the optimal order quantity.

b. Determine the number of orders per year.

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