1)Use the graphical method to find the optimal solutions of the following LP Problem.Max. Z = 7x1 + 5x2subject tox1 + 2x2 ≤ 64x1 + 3x2 ≤ 12x1, x2 ≥ 0 2) Use the graphical method to find the optimal solutions of the following LP Problem.Max. Z = 3x1 + 5x2subject to3x1 + 2x2 ≤ 18x1 ≤ 4x2 ≤ 6x1, x2 ≥ 0

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1)Use the graphical method to find the optimal solutions of the following LP Problem. Max. Z = 7x1 + 5x2 subject to x1 + 2x2 ≤ 6 4x1 + 3x2 ≤ 12 x1, x2 ≥ 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

1)Use the graphical method to find the optimal solutions of the following LP Problem.

Max. Z = 7x₁ + 5x₂

subject to

x₁ + 2x₂ ≤ 6

4x₁ + 3x₂ ≤ 12

x₁, x₂ ≥ 0

2) Use the graphical method to find the optimal solutions of the following LP Problem.

Max. Z = 3x₁ + 5x₂

subject to

3x₁ + 2x₂ ≤ 18

x₁ ≤ 4

x₂ ≤ 6

x₁, x₂ ≥ 0

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