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## Homework Statement

Solve the LP problem?

Minimize -x_{1} - 5x_{2} + x_{3}

when

x_{1} + 3x_{2} + 3 x_{3} <= 4

- x_{1} - 2x_{2} + x_{3} >= -5

3x_{2} - x_{3} <= 3

x_{1}, x_{2}, x_{3} >= 0

Please explain how this process works (with all the steps), thanks.

## The Attempt at a Solution

I read somewhere that in order to consider a minimized problem, one shall maximize: -x_{1} - 5x_{2} + x_{3}