Consider the following constraints from a two-variable Linear Program.   (1) X ≥ 0 (2) Y ≥ 0 (3) 5X + 4Y ≤ 50 (4) 5X - 2Y ≤ 20   If constraints (3) and (4) are binding, what is the optimal solution (X, Y)?   Answer choices   (6, 5)     (9, 5)   (0, 20)   (20, 0)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 135P
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Consider the following constraints from a two-variable Linear Program.

 

(1) X ≥ 0

(2) Y ≥ 0

(3) 5X + 4Y ≤ 50

(4) 5X - 2Y ≤ 20

 

If constraints (3) and (4) are binding, what is the optimal solution (X, Y)?

 

Answer choices

 

(6, 5)

 

 

(9, 5)

 

(0, 20)

 

(20, 0)

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