Minimize Z = - x + 2y, subject to constraints are ` x ge3, x + y ge 5 , x + 2y ge 6 " and " x , y ge 0 ` .

Maximize Z = -x + 2y, subject to the constraints : x ge 3, x + y ge 5, x + 2y ge 6, y ge 0.

Maximize and Minimize Z = 5x + 10y , subject to constraints are x + 2y le 120 , x + y ge 60, x - 2y ge 0 " and " x, y ge 0 .

Minimize Z = x + 4y subject to constraints x + 3y ge 3 , 2x + y ge 2, x ge 0 , y ge 0

Maximize: Z = -x + 2y , subject to the constraints: x ge 3, x + y ge 5, x + 2y ge 6, y ge 0 .

Maximise Z= -x + 2y , subject to the constraints: x ge 3, x + y ge 5, x + 2y ge 6, 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 .

Minimize Z = 2x + 3y subject to constraints x + y ge 6 , 2x + y ge 7, x + 4y ge 8 , x ge 0 , y ge 0