Question

Solve the following linear programming problem in x1 and x2.
Min C = 0.6x1 + x2
Sub to 10 x1 + 4 x2 ≥ 20
5 x1 + 5 x2 ≥ 20
2 x1 + 6 x2 ≥ 12
x1 , and x2 ≥ 0.

Answer 1

Solve the following linear programming problem in x1 and x2.

Min C = 0.6x1 + x2

Sub to 10 x1 + 4 x2 ≥ 20

5 x1 + 5 x2 ≥ 20

2 x1 + 6 x2 ≥ 12

x1 , and x2 ≥ 0.

Answer 2

Answer:

first you have to convert the min to max by multiplying it by -1. that will become Max C'= -0. 6x1-x2+0s1+0S2+0S3

subject to, 10x1+4X2+S1=20

add slack variable to all the constraints and solve as max lpp.