subject 2x, + 3x2 > 30 X1 + x2 2 12 2.x1 + x2 2 20 and x¡ 2 0, x2 2 0. (a) Use the graphical method to solve this model. (b) How does the optimal solution change if the objective func- tion is changed to Z = 40x1 + 70x2? (c) How does the optimal solution change if the third functional constraint is changed to 2x¡ + x2 2 15?

subject 2x, + 3x2 > 30 X1 + x2 2 12 2.x1 + x2 2 20 and x¡ 2 0, x2 2 0. (a) Use the graphical method to solve this model. (b) How does the optimal solution change if the objective func- tion is changed to Z = 40x1 + 70x2? (c) How does the optimal solution change if the third functional constraint is changed to 2x¡ + x2 2 15?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

subject to
2x1 + 3x2 > 30
X1 + x2 2 12
2x1 + x2 2 20
and
x1 2 0,
x2 2 0.
(a) Use the graphical method to solve this model.
(b) How does the optimal solution change if the objective func-
tion is changed to Z = 40x1 + 70x2?
(c) How does the optimal solution change if the third functional
constraint is changed to 2x1 + x, > 15?

D 3.4-6. Consider the following model:
Minimize
Z = 40x1 + 50x2,

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