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. (Round your answer to the nearest whole number.)       Optimal order quantity __________ boxes    b. Determine the number of orders per year. (Round your answer to 2 decimal places.)       Number of order _____________ 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
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

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. (Round your answer to the nearest whole number.)

 

 

  Optimal order quantity __________ boxes 

 

b. Determine the number of orders per year. (Round your answer to 2 decimal places.)

 

 

  Number of order _____________ per year  

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,