[" Example "4" Determine graphically the minimum value of the objective function "],[" subject to the constraints: "],[qquad [2x-y>=-5],[3x+y>=3],[2x-3y<=12],[x>=0,y>=0]]

Determine graphically the minimum value of the objective function Z = -50x+20y subject to the constraints: 2x-yge-5, 3x+yge3, 2x-3yle12, xge0, yge0

Determine graphically the minimum value of the objective function Z=-50 x+20 y subject to the constraints: 2x-ygeq-5 , 3x+ygeq3 , 2x-3ylt=12 , xgeq0,""""ygeq0 .

Determine graphically the minimum value of the objective function: Z = -50x + 20y subject to the constraints: 2x - y ge -5, 3x + y ge 3, 2x - 3y le 12, x, y ge 0 .

Determine graphically the minimum value of the objective function Z=-50 x+20 y subject to the constraints: 2 x-y ge -5 , 3 x+y ge 3 , 2 x-3 y le 12 , x ge 0, y ge 0

Determine graphically the minimum value of the objective function z = - 50x + 20 y, subject to he constraints. 2x - y ge - 5 3x + y ge 3 2x - 3y le 12 x ge 0, y ge 0

The maximum value of the objective function Z=3x+4y subject to the constraints x+y le 4, x ge 0 , y le o is

Determine graphically the minimum value of the objective function Z=-50x+20y ……………1 subject to the constraints: 2x-yge-5 …………..2 3x+yge3 ………….3 2x-3yle12 ……………..4 xge0, yge0 …………5

Determine graphically the minimum value of the objective function Z=-50x+20y ……………1 subject to the constraints: 2x-yge-5 …………..2 3x+yge3 ………….3 2x-3yle12 ……………..4 xge0, yge0 …………5

The minimum value of the objective function Z=x+2y Subject to the constraints, 2x+ y ge 3 , x +2y ge 6 , x, y ge 0 occurs