Product 3 130 220 2.0 Department A Product 1 Product 2 13 19 0.75 0.5 B 1.0 C 1.25 During the next production penod, the labor-hours available are 330 n department A 350 in department B. and 200 in department C. The profit contributions per unit are $32 for productl, S28 for product 2, and $35 for product 3 a) Formulate a linear programming model for maximızing total profit contribution. b) Solve the linear program formulated in part (a) using excel How moch of each product should be produced, and what is the projected total profit contribution?

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
icon
Concept explainers
Topic Video
Question
2) Martha Manufacturing makes three products. Each product tequires manufacturing
operations in three departments. A, B, and C. The labor-bour requirements, by
department, are as follows:
Department
Product 1
Product 2
Product 3
A.
13
19
130
B
1.0
0.75
220
125
0.5
20
During the next production penod, the labor-houes available are 330 m department A.
350 in department B, and 200 in department C. The profit contributions per unat are S32
for productl. $28 for product 2, and $35 for product 3
a) Formulate a linear programming model for maxımızing total profit contrabution.
b) Solve the linear program formulated in part (a) using excel How moch of each
product should be produced, and what is the projected total profit contribution?
Transcribed Image Text:2) Martha Manufacturing makes three products. Each product tequires manufacturing operations in three departments. A, B, and C. The labor-bour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A. 13 19 130 B 1.0 0.75 220 125 0.5 20 During the next production penod, the labor-houes available are 330 m department A. 350 in department B, and 200 in department C. The profit contributions per unat are S32 for productl. $28 for product 2, and $35 for product 3 a) Formulate a linear programming model for maxımızing total profit contrabution. b) Solve the linear program formulated in part (a) using excel How moch of each product should be produced, and what is the projected total profit contribution?
Expert Solution
steps

Step by step

Solved in 2 steps with 4 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,
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.