*3-39. Consider the problem subject to Maximize z = 2x₁ +4x2 + 4x3 3x4 1+ ₂+ 3 x₁ +4x₂ 1, 2, = 4 +*4=8 3, 4 ≥ 0 Solve the problem with X3 and Xx4 as the starting basic variables and without using any artificial variables. (Hint: x3 and x4 play the role of slack variables. The main difference is that they have nonzero objective coefficients.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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*3-39. Consider the problem
subject to
Maximize z= 2x₁ +4x₂+ 4x3 - 3x4
x1 + x₂ + x3
x₁ +4x₂
1, 2,
= 4
+*4=8
3, 4 ≥0
Solve the problem with X3 and x4 as the starting basic variables and without using any artificial variables. (Hint: X3 and x4 play the role of slack variables.
The main difference is that they have nonzero objective coefficients.)
Transcribed Image Text:*3-39. Consider the problem subject to Maximize z= 2x₁ +4x₂+ 4x3 - 3x4 x1 + x₂ + x3 x₁ +4x₂ 1, 2, = 4 +*4=8 3, 4 ≥0 Solve the problem with X3 and x4 as the starting basic variables and without using any artificial variables. (Hint: X3 and x4 play the role of slack variables. The main difference is that they have nonzero objective coefficients.)
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