The 23,000-seat Air East Arena houses the local professional ice hockey, basketball, indoor soccer, and arena football teams as well as various trade shows, wrestling and boxing matches, tractor pulls, and circuses. Arena vending annually sells large quantities of soft drinks and beer in plastic cups with the name of the arena and the various team logos on them. The local container cup manufacturer that supplies the cups in boxes of 100 has offered arena management the following discount price schedule for cups: Order Quantity (boxes) Price per Box 2000-6999 $47 7000-11,999 43 41 12,000-19,999 20,000+ 38 The annual demand for cups is 2.3 million, the annual carrying cost per box of cups is $1.90, and ordering cost is $320. Determine the optimal order quantity and total annual inventory cost. a. Find the economic order quantity Q* for each group b. Find the total annual cost TC for each group for the values of Q* found in (a). c. From (a) and (b) state the economic order quantity that gives the minimum total annual cost

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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The 23,000-seat Air East Arena houses the local professional ice hockey, basketball, indoor
soccer, and arena football teams as well as various trade shows, wrestling and boxing
matches, tractor pulls, and circuses. Arena vending annually sells large quantities of soft
drinks and beer in plastic cups with the name of the arena and the various team logos on
them. The local container cup manufacturer that supplies the cups in boxes of 100 has
offered arena management the following discount price schedule for cups:
Order Quantity (boxes)
Price per Box
2000-6999
$47
7000-11,999
43
41
12,000-19,999
20,000+
38
The annual demand for cups is 2.3 million, the annual carrying cost per box of cups is $1.90,
and ordering cost is $320. Determine the optimal order quantity and total annual inventory
cost.
a. Find the economic order quantity Q* for each group
b. Find the total annual cost TC for each group for the values of Q* found in (a).
c. From (a) and (b) state the economic order quantity that gives the minimum total
annual cost
Transcribed Image Text:The 23,000-seat Air East Arena houses the local professional ice hockey, basketball, indoor soccer, and arena football teams as well as various trade shows, wrestling and boxing matches, tractor pulls, and circuses. Arena vending annually sells large quantities of soft drinks and beer in plastic cups with the name of the arena and the various team logos on them. The local container cup manufacturer that supplies the cups in boxes of 100 has offered arena management the following discount price schedule for cups: Order Quantity (boxes) Price per Box 2000-6999 $47 7000-11,999 43 41 12,000-19,999 20,000+ 38 The annual demand for cups is 2.3 million, the annual carrying cost per box of cups is $1.90, and ordering cost is $320. Determine the optimal order quantity and total annual inventory cost. a. Find the economic order quantity Q* for each group b. Find the total annual cost TC for each group for the values of Q* found in (a). c. From (a) and (b) state the economic order quantity that gives the minimum total annual cost
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