The minimum value of Z= 4x+5y subject to the constraints ` x le 30, yle 40 ` and ` x ge 0,y ge 0` is

The minimum value of z = 4x+5y subject to the constraints xge30,yge40 and xge , y ge0 is

The minimum value of z = 4x+5y subject to the constraints xge30,yge40 and xge , y ge0 is

The minimum value of P = 6x + 16y subject to constraints x le 40 , y le 20 and x , y ge 0 is

The maximum value of Z=3x+4y subject to the constraints x+y le 40, x+2y le 60, x ge 0 and y ge 0 is -

The minimum value of Z = 4x + 5y subjected to the constraints x + y ge 6, 5x + y ge 10 , x ge 0, y ge 0 is

Maximum value of Z = 3x + 4y subject to the constraints x + y le 4, x ge 0, y ge 0 is 16.

Find the minimum value of Z = -3x + 4y, subject to the constraints x+2y le 8, 3x+2y le 12, x ge 0, y ge 0 .

The maximum value of Z = x + 4y subject to the constraints 3x+6y le 6, 4x+8y ge 16, x ge 0, y ge 0 is ………

The max. value of z = 4x + 5y subject to the constraints x + y le 4, x ge 0, y ge 0 is :