What is the optimized net cost? $  b.  Use SolverTable to see what happens to the decision variables and the total cost when the initial inventory varies from 0 to 1,000 in 100-unit increments. How much lower would the total cost be if the company started with 100 units in inventory, rather than none? $

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
100%

During the next four months, a customer requires, respectively, 600, 800, 1,200, and 900 units of a commodity, and no backlogging is allowed (that is, the customer's requirements must be met on time). Production costs are $80, $100, $105, and $90 per unit during these months. The storage cost from one month to the next is $20 per unit (assessed on ending inventory). It is estimated that each unit on hand at the end of month 4 can be sold for $60. Assume there is no beginning inventory. Determine how to minimize the net cost incurred in meeting the demands for the next four months.

a.  What is the optimized net cost?

b.  Use SolverTable to see what happens to the decision variables and the total cost when the initial inventory varies from 0 to 1,000 in 100-unit increments. How much lower would the total cost be if the company started with 100 units in inventory, rather than none?

eBook
During the next four months, a customer requires, respectively, 600, 800, 1,200, and
900 units of a commodity, and no backlogging is allowed (that is, the customer's
requirements must be met on time). Production costs are $80, $100, $105, and $90
per unit during these months. The storage cost from one month to the next is $20 per
unit (assessed on ending inventory). It is estimated that each unit on hand at the end
of month 4 can be sold for $60. Assume there is no beginning inventory. Determine
how to minimize the net cost incurred in meeting the demands for the next four
months.
a. What is the optimized net cost?
b. Use SolverTable to see what happens to the decision variables and the total cost
when the initial inventory varies from 0 to 1,000 in 100-unit increments. How much
lower would the total cost be if the conmpany started with 100 units in inventory, rather
than none?
Would this same cost decrease occur for every 100-unit increase in initial inventory?
Yes
Transcribed Image Text:eBook During the next four months, a customer requires, respectively, 600, 800, 1,200, and 900 units of a commodity, and no backlogging is allowed (that is, the customer's requirements must be met on time). Production costs are $80, $100, $105, and $90 per unit during these months. The storage cost from one month to the next is $20 per unit (assessed on ending inventory). It is estimated that each unit on hand at the end of month 4 can be sold for $60. Assume there is no beginning inventory. Determine how to minimize the net cost incurred in meeting the demands for the next four months. a. What is the optimized net cost? b. Use SolverTable to see what happens to the decision variables and the total cost when the initial inventory varies from 0 to 1,000 in 100-unit increments. How much lower would the total cost be if the conmpany started with 100 units in inventory, rather than none? Would this same cost decrease occur for every 100-unit increase in initial inventory? Yes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Optimization models
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
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.