MHB Is This Solution to the Linear Programming Problem Correct?

[evinda]

Hello! (Wave)

I want to solve the linear programming problem:
$\max (5x_1-4x_2) \\ -x_1+x_2 \geq -6 \\ 3x_1-2x_2 \leq 24 \\ -2x_1+3x_2 \leq 9 \\ x_1, x_2 \geq 0$

I have found that the solution is $\left(0, \frac{6}{5}, \frac{36}{5},0, \frac{99}{5} \right)$.. Am I right?

 

[I like Serena]

Hello! (Wave)

I want to solve the linear programming problem:
$\max (5x_1-4x_2) \\ -x_1+x_2 \geq -6 \\ 3x_1-2x_2 \leq 24 \\ -2x_1+3x_2 \leq 9 \\ x_1, x_2 \geq 0$

I have found that the solution is $\left(0, \frac{6}{5}, \frac{36}{5},0, \frac{99}{5} \right)$.. Am I right?

Hey evinda! (Smile)

I'm getting $x_1=12,\ x_2=6,\ \max=36$. (Worried)

 

[Prove It]

Hello! (Wave)

I want to solve the linear programming problem:
$\max (5x_1-4x_2) \\ -x_1+x_2 \geq -6 \\ 3x_1-2x_2 \leq 24 \\ -2x_1+3x_2 \leq 9 \\ x_1, x_2 \geq 0$

I have found that the solution is $\left(0, \frac{6}{5}, \frac{36}{5},0, \frac{99}{5} \right)$.. Am I right?

As there are only two variables you could solve this graphically. Have you tried this?