2. A firm makes two products X and Y, and has a total production capacity of 9 tonnes per day. Both X and Y require the same production capacity. The firm has a permanent contract to supply at least 2 tonnes of X and at least 3 tonnes of Y per day to another company. Each tonne of X requires 20 machine hours of production time and each tonne of Y requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All of the firm's output can be sold. The profit made is GHs 80 per tonne of X and GHs 120 per tonne of Y. a) Formulate this problem as a Linear programming model. b) Use the graphical method to determine the production schedule that yields the maximum profit.

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
2. A firm makes two products X and Y, and has a total production capacity of 9 tonnes
per day. Both X and Y require the same production capacity. The firm has a permanent
contract to supply at least 2 tonnes of X and at least 3 tonnes of Y per day to another
company. Each tonne of X requires 20 machine hours of production time and each tonne
of Y requires 50 machine hours of production tỉme. The daily maximum possible
number of machine hours is 360. All of the firm's output can be sold. The profit made
is GHs 80 per tonne of X and GHs 120 per tonne of Y.
a) Formulate this problem as a Linear programming model.
b) Use the graphical method to determine the production schedule that yields the
maximum profit.
Transcribed Image Text:2. A firm makes two products X and Y, and has a total production capacity of 9 tonnes per day. Both X and Y require the same production capacity. The firm has a permanent contract to supply at least 2 tonnes of X and at least 3 tonnes of Y per day to another company. Each tonne of X requires 20 machine hours of production time and each tonne of Y requires 50 machine hours of production tỉme. The daily maximum possible number of machine hours is 360. All of the firm's output can be sold. The profit made is GHs 80 per tonne of X and GHs 120 per tonne of Y. a) Formulate this problem as a Linear programming model. b) Use the graphical method to determine the production schedule that yields the maximum profit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 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.