## Related questions with answers

Question

Solve the linear programming problem by using the simplex method Maximize

$\quad P=2 x_1+3 x_2$

subject to

$-2 x_1+x_2 \leq 2$

$-x_1+x_2 \leq 5$

$x_2 \leq 6$

$x_1, x_2 \geq 0$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 10To turn the i-system into an e-system, add **slack variables** to the left side of the problem constraint inequalities.

The slack variable $s$ is the difference between the left and right sides of inequality so if we add it to the left side, the inequality sign becomes a sign of equality.

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