The point at which the maximum value of `x+y` subject to the constraints `x+2ylt=70 ,\ 2x+ylt=95 ,\ x ,\ ygeq0` is obtained is a. (30,25) b. (20,35) c. (35,20) d. (40,15)

Determine the maximum value of Z=11x+7y subject to the constraints 2x+y le 6 , x le 2, x ge 0, y ge 0

The maximum value of Z=4x+2y subjected to the constraints 2x+3ylt=18 ,\ x+ygeq10 ; x ,\ ygeq0 is a. 36 b. 40 c. 20 d. none of these

The maximum value of Z=4x+3y subjected to the constraints x+2ygeq160 ,\ 5x+2ygeq200 ,\ x+2ygeq80 ;\ x ,\ ygeq0 is a. 320 b. 300 c. 230 d. none of these

Maximise z = 8x + 9y subject to the constraints given below : 2x+3ylt=6 3x2ylt=6 ylt=1 x ,ygeq0

Find graphically, the maximum value of Z=(3)/(4)x+(1)/(2)y Subject to the constraints: 2x+yle180,xge20,2x+3yge120,x,yge0

Find the maximum and minimum value of 2x+y subject to the constraints: x+3ygeq6,x-3ylt=3,3x+4ylt=24 ,-3x+2ylt=6,5x+ygeq5,x ,ygeq0.

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

Minimise Z = 3x + 2y subject to the constraints: x+yge8 . . .(1) 3x+5ylt=15 . . .(2) xgeq0,ygeq0 . . .(3)

Solve the linear programming problem Maximise Z=x+2y Subject to the constraints: x-yle10, 2x + 3y le20 and xge0, yge0

The corner points of the feasible region determined by the following system of linear inequalities: 2x+ylt=10 ,\ x+3ylt=15 ,\ x ,\ ygeq0\ a r e\ (0,0),\ (5,0),(3,\ 4)a n d\ (0,5)dotL e t\ Z=p x+q y ,\ w h e r e\ p ,\ q >0 . Condition on p\ a n d\ q so that the maximum of Z occurs at both (3,4) and (0,5) is p=q b. p=2q c. p=3q d. q=3p