A company makes two fabrics (X and Y) using two machines (A and B). Each unit of X that is produced requires 60 minutes processing time on machine A and 40 minutes processing time on machine B. Each unit of Y that is produced requires 36 minutes processing time on machine A and 44 minutes processing time on machine B. Available processing time in a week on machine A is forecasted to be 60 hours and on machine B is forecasted to be 45 hours. Profits for each unit of X is 15 dollars and each unit of Y is 25 dollars. Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program graphically

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 makes two fabrics (X and Y) using two machines (A and B). Each unit of X that is produced requires 60 minutes processing time on machine A and 40 minutes processing time on machine B. Each unit of Y that is produced requires 36 minutes processing time on machine A and 44 minutes processing time on machine B. Available processing time in a week on machine A is forecasted to be 60 hours and on machine B is forecasted to be 45 hours. Profits for each unit of X is 15 dollars and each unit of Y is 25 dollars. Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program graphically and mathematically.

Expert Solution
steps

Step by step

Solved in 6 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
  • 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.