In Exercises 9-20, use the simplex method to solve the given linear programming problem. (In each case the objective function is to be maximized.) 20. Objective function: z = x₁ + 2x₂ + x3 - X4 Constraints: X1 + x2 + 3x3 + 4x4≤ 60 x₂ + 2x3 + 5x4≤ 50 + 6x4≤72 X1, X2, X3, X4 ≥ 0 2x₁ + 3x₂

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In Exercises 9-20, use the simplex method to
solve the given linear programming problem.
(In each case the objective function
is to be maximized.)
20. Objective function:
z = x₁ + 2x₂ + x3 - X4
Constraints:
X1 + x2 + 3x3 + 4x4≤ 60
x₂ + 2x3 + 5x4≤50
+ 6x4≤72
X1, X2, X3, X4 ≥ 0
2x₁ + 3x₂
Transcribed Image Text:In Exercises 9-20, use the simplex method to solve the given linear programming problem. (In each case the objective function is to be maximized.) 20. Objective function: z = x₁ + 2x₂ + x3 - X4 Constraints: X1 + x2 + 3x3 + 4x4≤ 60 x₂ + 2x3 + 5x4≤50 + 6x4≤72 X1, X2, X3, X4 ≥ 0 2x₁ + 3x₂
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