You MUST use the methods learned in this course!
Using the Simplex method Maximize zx₁+x₂+x₃ subject to the constraints
{ 4x₁+12x₂+x₃ ≤ 124
{ 8x₁ +5x₃ ≤ 152
{ x₁ ≥ x₂ ≥ 0, x₃ ≥ 0