Maximise `Z=3x+4y`
Subject to the constraints `x+yle4, xge0, yge0`

Maximise Z=-x+2y , subject to the constraint, xge3, x+yge5, yge0

Solve the following linear programming problem graphically Maximize Z= 60 x+15y Subject to the constraints x+y le 50 3x+y le90 x,yge 0

Given the LPP max Z=2x+3y Subject to the constraints 3x+y le3 x ge 0, y ge 0 show that the corner points of the LPP are (0,0) ,(1,0) and (0,3)

Find the corner points of the feasible region of the linear programing problem Max Z=x Subject to the constraints 3x+2yle12 2x+3y le13 x ge 0,y ge 0

Make a graphical representation of the set of constraints in the following LPP Maximimize Z= x+y Subject to the constraints 5x+10y le50 x+y ge1 and x ge 0, y ge 0 show that the LPP has unique optimal solution

Solve the following problem graphically. Minimise and Maximise Z=3x+9y …………..1 subject to the constraints x+3yle60 ………….2 x+yge10 …………..3 xley …………4 xge0,yge0 …………..5

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 -

Represent geometrically the following LPP Minimize Z= 3x+2y Subject to the constraits 5x+y ge 10 x+yge6 x+4yge12 and x ge 0 ,y ge 0 find out the exterme points of the convex set of feasible solution and hence find out the minimum value of the objective function