- #1

csc2iffy

- 76

- 0

## Homework Statement

Minimize |2x

_{1}-3x

_{2}|

subject to

x

_{1}+x

_{2}≤5

-x

_{1}+x

_{2}≥-1

x

_{1}≥0, x

_{2}≥0

(a) Solve the problem graphically.

(b) Formulate a linear program that could be used to solve the problem. Use software to solve your LP and show how to reconstruct a solution to the original problem.

## Homework Equations

## The Attempt at a Solution

I started graphing the problem and posted an attachment of what I have. I usually solve these by way of the corner point method (just to check that my graphical method is correct), but once I found my corner points for this problem I found that 2 of them have the same value but are not adjacent CPF solutions

(0,0)=0

(1,0)=1

(3,2)=0

(0,5)=15

This is what's confusing me... also, how would I show the graphical method when absolute value is involved? I started to try it, but I would like to know if I'm doing it correctly before going further.