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
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
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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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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