[" 1.The minimum value of "Z=3x+5y],[" sulbject to constraints "x+3y>=3],[qquad [x+y>=2x],[y>=0" is "]]

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 maximum value of Z = 3x + 4y subject to constraints x + y le 4, x ge 0, y ge 0 is _________

Find the minimum value of Z = x + y subject to the constraints 2x+3y le 6, x ge 0, y ge 0 is ……….

The maximum value of Z = 3x + 4y subject to the constraints: x + y le 4, 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.

Maximise Z=2x+3y subject to the constraints x+y 0 , y>0

Maximise Z=x+2y, subject to the constraints: x>=3,x+y>=5,x+2y>=6,y>=0

Find the minimum value of Z=3x+5y, subject to the constraints -2x+y le4, x+y ge3, x-2yle2, x ge0 and y ge0.