Use the Fourier-Motzkin Elimination method to solve problem Maximize Z=x 1 + 2x 2 , subject to x 1 + 3x 2 =0.

Use the Fourier-Motzkin Elimination method to solve problem 

Maximize Z=x₁ + 2x₂,

subject to

x₁ + 3x₂ <=8

x₁ + x₂ <=4

and

x₁ >=0, x₂>=0.