a. Graphically identify the set of all alternative optimal solutions to this problem. b. Suppose that a secondary priority objective function seeks to maximize -3x₁ + x2 over the set of alternative optimal solutions identified in Part (a). What is the resulting solution obtained? What is the solution obtained if the priorities of the foregoing two objective functions is reversed?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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[1.37] Consider the following problem:
6x2
Maximize 3x1
2x2
< 2
subject to
-2x1
-X1
X2
< 0
X1
+ 2x₂ ≤ 4
X1,
*2 ≥ 0.
a. Graphically identify the set of all alternative optimal solutions to this
problem.
b. Suppose that a secondary priority objective function seeks to
maximize 3x₁ + x2 over the set of alternative optimal solutions
identified in Part (a). What is the resulting solution obtained?
c. What is the solution obtained if the priorities of the foregoing two
objective functions is reversed?
Transcribed Image Text:[1.37] Consider the following problem: 6x2 Maximize 3x1 2x2 < 2 subject to -2x1 -X1 X2 < 0 X1 + 2x₂ ≤ 4 X1, *2 ≥ 0. a. Graphically identify the set of all alternative optimal solutions to this problem. b. Suppose that a secondary priority objective function seeks to maximize 3x₁ + x2 over the set of alternative optimal solutions identified in Part (a). What is the resulting solution obtained? c. What is the solution obtained if the priorities of the foregoing two objective functions is reversed?
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