Question 29 Maximize 2x1 + 4x2 subject to 1 + 3x2 12 2x1 + x₂ 14 120 and ₂ ≥ 0 Using simplex method by introducing slack variables 3 and 4, and M = 2x1 + 4x2, now the inequalities are changed to equations x₁ + 3x2 + x3 = 12 (1) 2x1 + x2 + x4 = 14 (2) 2x1 + 4x2 M = 0 (3) To bring 1 and 2 into the solution, which one (1 or 2) is firstly brought into the solution and which equation is used as the pivot equatio O1 and (2) O2 and (3) O #2 and (2) O1 and (1) O2 and (1)

Maximize 54 - x - y, subject to the constraint x+ 7y - 50 = 0. The maximum value of 54 - x - y subject to the constraint x+ 7y - 50 = 0 is. (Type an exact answer in simplified form.)

Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

Sketch the solution to each system of inequalities. 1) ys-x- 2 y2 -5x +2 2) y>-x - 2 y<-5x + 2 3), ys*+2 4) xs-3 5 y<-x+2 y<-2x – 3