Maximize 3x+3y+8z Subject to: 5x + 2y + 9z 100 Constraint (1) -3x+3y+2z≤ 300 Constraint (2) 10x-2y-6z≤0 Constraint (3) x, y, z≥0 Constraint (4)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 63P
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IM BEGGING HELP ME PLEASEEE IM SO THANKFUL OR GRATEFUL

a) The optimal solution is 

 

x=900, y=0, and z=1500.

 

x=20, y=50. and z=0.

 

x=0, y=100, and z=150.

 

x=100, y=0, and z=2000.

b) Which statement is true?

 

Constraint (1) is binding.

 

Constraint (2) is binding.

 

Constraint (3) is binding.

 

Constraints (2) and (3) are binding.

 
Maximize 3x+3y+8z
Subject to:
5x + 2y + 9z 100
Constraint (1)
-3x+3y+2z≤ 300
Constraint (2)
10x-2y-6z≤0
Constraint (3)
x, y, z ≥ 0
Constraint (4)
Transcribed Image Text:Maximize 3x+3y+8z Subject to: 5x + 2y + 9z 100 Constraint (1) -3x+3y+2z≤ 300 Constraint (2) 10x-2y-6z≤0 Constraint (3) x, y, z ≥ 0 Constraint (4)
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