Maximize profit = 4X + 4Y Subject to: 3X +5Y ≤ 150                      X – 2Y ≤ 10                   5X + 3Y ≤ 150                           X, Y ≥ 0 Required: a- The corner point method to obtain the optimal point.  b- Specify the profit value.   c- Calculate the Slack for each constraint and state its formula.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.3: Capital Budgeting Models
Problem 3P: Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows:...
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Maximize profit = 4X + 4Y

Subject to: 3X +5Y ≤ 150

                     X – 2Y ≤ 10

                  5X + 3Y ≤ 150

                          X, Y ≥ 0

Required:

a- The corner point method to obtain the optimal point. 

b- Specify the profit value.  

c- Calculate the Slack for each constraint and state its formula. 

 

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,