1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost per hr ($) | Product 1 | Product 2 | Product 3 | Product 4 | Capacity (hr) 1 10 2 3 4 600 3 2 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
icon
Related questions
Question

Please answer all parts

1. Four products are processed sequentially in a manufacturing facility on three machines. The
following table gives the pertinent data of the problem
Manufacturing time (hr) per unit
Machine
Cost
hr ($) | Product 1 Product 2 Product 3 Product 4 | Capacity (hr)
per
10
1
2
3
4
2
600
1
400
3
4
7
3
1
300
Selling $/unit
75
70
55
45
(a) Formulate an LP problem for maximizing the profit.
(b) Solve the problem using the Simplex method.
(c) What are the shadow prices for each machine and their ranges?
(d) What are the reduced costs for each product?
Transcribed Image Text:1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost hr ($) | Product 1 Product 2 Product 3 Product 4 | Capacity (hr) per 10 1 2 3 4 2 600 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 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,