System of Equations & Linear Programming: Subject to Constraints

1. Solve the following system of simultaneous equations:
6x1 + 4x2 = 40
2x1 + 3x2 = 20

x1 = ??? put your answer in the form x or x.x

2. Max Z = 5x1 + 3x2
Subject to: 6x1 + 2x2 <= 18
15x1 + 20x2 <= 60
x1 , x2 >= 0
Find the optimal profit. Z=?
put your answer in the form x.xxx

3. Consider the following linear programming problem.
MIN Z = 10x1 + 20x2
Subject to: x1 + x2 >= 12
2x1 + 5x2 >= 40
x2 >= 13
x1, x2 >= 0
What is minimum cost Z=??
Put your answer in the x.xxx (to three decimal places)

Solution Summary

System of Equations and Linear Programming and Solving Subject to Constraints are investigated. The solution is detailed and well presented.

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