Set up an L.P. model to maximize the profit. Solve the L.P. model by simplex method.
Set up an L.P. model to maximize the profit. Solve the L.P. model by simplex method.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 66P
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Question
A firm manufactures three products A, B and C. The profits are K3, K2 and K4 respectively. The firm has two machines and the required processing time in minutes for each machine on each product is given below.
Machine |
Product |
||
A |
B |
C |
|
X |
4 |
3 |
5 |
Y |
2 |
2 |
4 |
Machines X and Y have 2,000 and 1,500 machine – minutes respectively. The firm must manufacture 100 A’s, 200 B’s and 50 C’s but no more than 150 A’s
- Set up an L.P. model to maximize the profit.
- Solve the L.P. model by simplex method.
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