Maximize Z = 3x + 2y, subject to constraints are ` x + 2y le 10, 3x + y le 15, " and " x , y ge 0 ` .

Maximize Z = x + y, subject to constraints are x - y le - 1, - x + y le 0 " and " x, y ge 0 .

Maximize Z = 3x + 5y, subject to constraints are x + 3y le 3, x + y le 2 " and " x ,y ge 0 .

Solve the following linear programming problem graphically : Maximize : z = 3x + 2y subject to the constraints : x + 2y le 10, 3x + y le 15 ,x ge 0, y ge 0

Maximize Z = 5x + 3y, subject to constraints are 3x + 5y le 15 , 5x + 2y le 10 , x ge 0 " and " y ge 0 .

Maximize Z = 3x + 4y , subject to the constraints are x + y le 4, x ge 0 " and " 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.

Solve the following linear programming problem Graphically : Maximize Z = 11 x + 5y , subject to the constraints : 3x + 2y le 25, x + y le 10, x, y ge 0 .

Solve graphically Linear programming problem Maximize Z = 5x + 3y subject to constraints, 3x + 5y le 15, 5x + 2y le 10, x ge 0, y ge 0 .