A company estimates the demand for its products for the next three periods as follows. The first period is 20 units, the second period is 10 units, and the third period is 15 units. The manufacturing costs for producing the product are as follows: period 1—$13; period 2— $14; period 3—$15. If the number of products in each period exceeds demand in that period, the product will be stored and a holding cost of $2 per unit is incurred. It is known that at the beginning of the period the company has 5 units of beginning inventory. In reality, not all products available in a period are able to meet demand in that period. To model this, it is assumed that only half of the available product can be used to meet demand in the period. In other words, the minimum number of products available in each period is double the demand for that period. Develop a suitable mathematical model for this case!

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

A company estimates the demand for its products for the next three periods as follows. The first period is 20 units, the second period is 10 units, and the third period is 15 units. The manufacturing costs for producing the product are as follows: period 1—$13; period 2— $14; period 3—$15. If the number of products in each period exceeds demand in that period, the product will be stored and a holding cost of $2 per unit is incurred. It is known that at the beginning of the period the company has 5 units of beginning inventory. In reality, not all products available in a period are able to meet demand in that period. To model this, it is assumed that only half of the available product can be used to meet demand in the period. In other words, the minimum number of products available in each period is double the demand for that period. Develop a suitable mathematical model for this case!

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
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.