2 = 4x + y x + y = 50, 3x + y = 90, x>0, y 20.

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

Solve the following LLp graphically : Maximise Z = 4x + y subject to constraints : x + y le 50, 3x + y le 90, x ge 10, y ge 0.

Maximum of Z= 4x + y subject to: x + y le 50, 3x + y le 90, x ge 0, y ge 0 is ........at .........

Z= 4x + 7y x + 2y le 20, x + y le 15, x ge 0, y ge 0 .

Solve the following linear programming problem graphically : Maximize : z = 4x + y Subject to the constraints : x + y le 50 3x + y le 90 x ge 0, y ge 0

Graphically minimize and maximize z = 3x + 4y subject to the constraints: x + y le 40 x + 2y le 80, x - 2y ge - 20 x, y ge 0 .

(i) Z = 20x + 10y x + 2y le 28, 3x + y le 24, x ge 2, x, y ge 0 (ii) Z = 7x + 10y 4x + 6y le 240, 6x + 3y le 240, x ge 10, x ge 0, y ge 0 (iii) Z = 22x + 44y subject to the constraints: x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .

Maximize Z = 4x + y subject to : x + y le 50, x, y ge 0 .

Maximize Z = 4x + y subject to : x + y le 50, x, y ge 0 .

Solve the following linear programming problem graphically Maximise z = 4x + y subject to constraints x + y le 50 , 3x + y le 90 , x,y ge 0