The minimum value of the objective function Z=2x+10y for linear constraints ` x ge 0 , y ge 0, x -y ge 0, x -5y le -5 ` is

The maximum value of the objective function Z=3x+2y for linear constraints x+y le 7, 2x+3y le 16, x ge0, y ge0 is

The minimum and maximum values of the objective function, Z = 5x + 10y subject to the constraints x +2yle 120, x+y ge 60, x -2y ge 0 , x,y le 0 are respectively

Find the ratio of the maximum and minimum values of the objective function f=3x+5y subject to the constraints : x ge 0, y ge0, 2x+3y ge 6 and 9x+ 10y le 90 .

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

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 .

The minimum value of linear objective function z =2x + 2y under linear constraints 3x + 2y ge 12 , x + 3y ge 11 and x,y ge 0 is

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

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

Maximum value of the objective function x+2y subject to the constraints 2x + 3y le 6, x + 4y le 4, x ge 0, y ge 0 is

Solve the following linear programming problem graphically. Minimize the objective function z = 2x + 3y subject to the constraints x + y le 100, x + y ge 60, x le 60, y le 50, x ge 0, y ge 0