Solve the following LP using Simplex methodMinimise Z = 60x1 + 80x2Subject to20x1 + 30x2 ≥ 900 Resource 140x1 + 30x2 ≥ 1200 Resource 2x1, x2 ≥ 0 You are required to findOptimum product mix and minimum Optimum solution so obtained is unique or has multiple optimum solution, justify your answer. Comment on the values you have got for S1 and S2 in the optimum solution, what do they represent. Check whether both the resources are fully utilized or not. If these resources are made available for one more unit what is the effect on the cost?

Name: Solve the following LP using Simplex methodMinimise Z = 60x1 + 80x2Sub
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Description: Solve the following LP using Simplex methodMinimise Z = 60x1 + 80x2Subject to20x1 + 30x2 ≥ 900 Resource 140x1 + 30x2 ≥ 1200 Resource 2x1, x2 ≥ 0 You are required to findOptimum product mix and minimum Optimum solution so obtai

Given the problem is Minimise Z = 60x1 + 80x2 Subject to 20x1 + 30x2 ≥ 900 40x1 + 30x2…

Answered: Solve the following LP using Simplex…

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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Solve the following LP using Simplex method

Minimise Z = 60x₁ + 80x₂

Subject to

20x₁ + 30x₂ ≥ 900 Resource 1

40x₁ + 30x₂ ≥ 1200 Resource 2

x₁, x₂ ≥ 0

You are required to find

Optimum product mix and minimum
Optimum solution so obtained is unique or has multiple optimum solution, justify your answer.
Comment on the values you have got for S1 and S2 in the optimum solution, what do they represent.
Check whether both the resources are fully utilized or not. If these resources are made available for one more unit what is the effect on the cost?

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