In Exercises 1 and 2, use an artificial variable to solve and check your solution. 1. Objective function 2. z = 10x1 + 5x2 + 12x3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In Exercises 1 and 2, use an artificial variable to solve the linear programming problem,
and check your solution.
1. Objective function
2. Objective function
z = 10x, + 5x2 + 12x3
z = 9x1 + x2 + 2x3
Constraints:
Constraints:
-2x1 + x2 + 2x3 < 80
2x1 + 6x2
= 8
- x3 = 35
4x1
+ 2x3 < 21
X1
-x2 + 3x3 < 60
-2x1 – 3x2 + x3 < 12
X1, X2, X3 2 0
X1, X2, X3 2 0
Transcribed Image Text:In Exercises 1 and 2, use an artificial variable to solve the linear programming problem, and check your solution. 1. Objective function 2. Objective function z = 10x, + 5x2 + 12x3 z = 9x1 + x2 + 2x3 Constraints: Constraints: -2x1 + x2 + 2x3 < 80 2x1 + 6x2 = 8 - x3 = 35 4x1 + 2x3 < 21 X1 -x2 + 3x3 < 60 -2x1 – 3x2 + x3 < 12 X1, X2, X3 2 0 X1, X2, X3 2 0
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