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)