a. What is the order quantity following the EOQ model? b. Considering the quantity discount, would the economic order quantity be changed? c. Supposed that the holding cost is 48% of the price, what is the optimal order quantity?

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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4. A mail-order house uses 18,000 boxes a year. Carrying costs are $.60 per box per year
and ordering costs are $96. The following price schedule is offered. Determine the EOQ
and the # of orders per year.
# Boxes
Unit Price
1000-1999
$1.25
2000-4999
$1.20
5000-9999
$1.15
10000+
$1.10
a. What is the order quantity following the EOQ model?
b. Considering the quantity discount, would the economic order quantity be changed?
c. Supposed that the holding cost is 48% of the price, what is the optimal order quantity?
Transcribed Image Text:4. A mail-order house uses 18,000 boxes a year. Carrying costs are $.60 per box per year and ordering costs are $96. The following price schedule is offered. Determine the EOQ and the # of orders per year. # Boxes Unit Price 1000-1999 $1.25 2000-4999 $1.20 5000-9999 $1.15 10000+ $1.10 a. What is the order quantity following the EOQ model? b. Considering the quantity discount, would the economic order quantity be changed? c. Supposed that the holding cost is 48% of the price, what is the optimal order quantity?
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,