Maximize `Z = 7x + 4y` subject to the constraints : `2x + y le 10, x + 2y le 12, x ge 0, y ge 0` using graph.

Maximize Z = 3x + 4y subject to the constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 using graph.

Maximize Z = 5x + 3y subject to the constraints : 2x + y le 8, x + 2y le 1 2, x ge 0, y ge 0 using graph.

Maximize Z = 22x + 44y subject to the constraints x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .

Solve graphically (Linear programming problem) Maximize Z = 10x + 12y subject to constraints: 2x + 3y le 30, 3x + y le 17, x ge 0, 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

Solve the following linear programming problem graphically : Maximize : z = 4x + 7y Subject to the constraints : x + 2y le 20 ,x + y le 15, x ge 0, y ge 0 .