The conditions ` x ge 0, y ge 0 ` are called

Find the number of solutions of x + y + z + w = 20 under the following conditions: , x ge 0, y ge 0, z ge 0, w ge0

The minimum value of 2x + 3y subject to the condition x+4y ge 8, 4x+y ge 12, x ge 0 and y ge 0 is

The area of the feasible region for the following constraints 3y +x ge 3, x ge 0, y ge 0 will be

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 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 minimum value of z = 2x + 4y subject to constraints x+2y ge 10, 3x+y ge 10, x ge 0, y ge 0 is ………..

The point at which the minimum value of z = 8x + 12y subject to the constraints 2x +y ge 8, x + 2y ge 10 x ge 0, y ge 0 is obtained is

Minimise Z=13x-15y subject to the constraints x+y le 7, 2x-3y+6 ge 0, x ge 0, x ge 0, and y ge 0