`x+y le 9 , y gt x, x ge 0 `

x + y le 9, x gt y, xge 0

Graphically maximise Z = 9x + 10y subject to constraints : 9x + 2y ge 20, x - 2y ge 0, x + y le 9, x ge 0, y ge 0 .

The feasible region of a LPP under the constraints x- y le 1 ,x + y ge 3, x ge 0, y ge 0

Minimize z = 6 x + 2y , subject to 5 x + 9y le 90, x + y ge 4, y le 8, x ge 0, y ge 0 .

x + y le 10, 4x + 3y le 24, x ge , x ge 0, y ge 0

Z = 4x + y x + y le 50, 3x + y le 90, x ge 0, y ge 0

If Z=2x + y subject to x le 4, y le 6, x+y ge 6, x ge 0, y ge 0 , then the maximum value of Z is

Maximize z = 10 x + 25 y , subject to x le 3, y le 3, x + y le 5, x ge 0 , y ge 0 .

(a) Draw the feasible region of inequation: x + y le 4, x ge 0, y ge 0 (b) Draw the graph of the following LPP: 3x + y le 17, x, y ge 0 (c) Shade the feasible region of LLP: (i) x + 3y ge 3, x + y ge 2, x ge 0, y ge 0 (ii) x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0