Determine whether the problem has multiple solutions, unbounded solutions, or no feasible solutions. Maximize  z = 10x1 + 11x2 + 7x3,  subject to 2x1  +  3x2  −  9x3  ≤  72 2x1  +  5x2  −  10x3  ≥  100 x1  ≥  0, x2  ≥  0, x3  ≥  0 The problem has multiple solutions. The problem has unbounded solutions.    T he problem has no feasible solutions.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 3P
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Determine whether the problem has multiple solutions, unbounded solutions, or no feasible solutions.

Maximize 

z = 10x1 + 11x2 + 7x3,

 subject to

2x1  +  3x2  −  9x3  ≤  72
2x1  +  5x2  −  10x3  ≥  100
x1  ≥  0, x2  ≥  0, x3  ≥  0
The problem has multiple solutions.
The problem has unbounded solutions.    T
he problem has no feasible solutions.
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