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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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  1. 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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