1.37] Consider the following problem: Мaximize subject to 3x1 -X1 -2x1 + 6x2 + 2x2 < 2 + X1 X1, 2x2 s 4 X2 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 -3x + 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? с.

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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[1.37] Consider the following problem:
Maximize
subject to
3x1
+ 6x2
+ 2x2 < 2
-2x1
+
X2
+ 2x2
< 4
X1,
X2 2 0.
Graphically identify the set of all alternative optimal solutions to this
problem.
b.
а.
Suppose that a secondary priority objective function seeks to
maximize -3x + x, 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: Maximize subject to 3x1 + 6x2 + 2x2 < 2 -2x1 + X2 + 2x2 < 4 X1, X2 2 0. Graphically identify the set of all alternative optimal solutions to this problem. b. а. Suppose that a secondary priority objective function seeks to maximize -3x + x, 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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