Maximize `Z = 52x + 26y` subject to the constraints `x + y ge 5, 5x + 8y le 40, x - y ge 0, x, y ge 0` graphically.

Maximize Z = 12x + 24y subject to the constraints x + y ge 5, 5x + 7y le 35, x - y ge 0, x, y ge 0 graphically.

Maximize 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 = 6x + 8y subject to the constraints x + y le 6, 3x + y ge 6, x - y ge 0, x, y ge 0 graphically.

Maximize 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 the constraints : 2x + y le 8, x + 2y le 1 2, x ge 0, y ge 0 using graph.

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 .