By using LPP maximize `z= 17.5x+7y` subject to the constraints `x +3y leq 12, 3x +y leq 12 and x,y geq 0`

Maximize 5x +7y , subject to the constraints 2x + 3y le 12, x+y le 5, x ge 0 and y ge 0 .

Maximize z = 5x + 10y subject to constraints x + 2y le 10 , 3x + y le 12 , x ge 0 , y ge 0

Maximize Z = 5x + 3y subject to the constraints: 3x + 5y le 15, 5x + 2y le 10, x ge 0, y ge 0

Maximize : Z = x + y ,subject to the constraints: x - y le -1, -x + y le 0, x ge 0, y ge 0

Consider the following LPP: Maximize Z = 3x + 2y subject to the constraints: x + 2y le 10, 3x + y le 15, x, y ge 0 . (a) Draw the feasible region. (b)Find the corner points of the feasible region. (c) Find the maximum value of Z.

Maximize z =2x + 3y subject to constraints x + 4y le 8, 3x + 2y le 14 , x ge 0, y ge 0 .

Minimize Z = 3x + 2y subject to the constraints : x + y ge 8, 3x + 5y le 15, x ge 0, y ge 0 .

Maximize z= 7x+11y subject to the constraints 3x+5y le 26,5x+3y le 30 , x ge 0, y ge 0

Maximum of P=5x+7y subject to the constraints : 3x+2y le 12, 2x+3y le 13, x ge0, y ge0 is

Minimize Z = -3x + 4y subject ot constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .