If both of these objective functions (MAX: 2X1 + 3X2; MIN: -2X1 – 3X2) are used, one at a time, to solve a problem with exactly the same constraints, will the optimal values for X1 and X2 be the same in both cases? Why or why not? (Hint: Consider relationship between the two objectives.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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If both of these objective functions (MAX: 2X1 + 3X2; MIN: -2X1 – 3X2) are used, one at a time, to solve a problem with exactly the same constraints, will the optimal values for X1 and X2 be the same in both cases? Why or why not? (Hint: Consider relationship between the two objectives.)

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