A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $4/unit of Product A and a profit of $5/unit of Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 min on Machine II. There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? Product A      units Product B      units What is the largest profit the company can realize? $  Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.) Machine I      min Machine II      min

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
icon
Related questions
Question

A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $4/unit of Product A and a profit of $5/unit of Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 min on Machine II. There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit?

Product A      units
Product B      units


What is the largest profit the company can realize?


Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.)

Machine I      min
Machine II      min
Expert Solution
Step 1
Maximize Z = 4A + 5B
subject to 
6A + 9B <= 5 hours x 60 minutes
5A + 4B <= 3 hours x 60 minutes
A, B >= 0
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
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,