`x - y le 2 , x + y le 4 , x ge 0 , y ge 0 `

Solve the following inequilities graphically 2x + y le 12 , x + y le 7 , x + 2y le 10 , x ge 0 , y ge 0 .

Solve the following system of inequalities graphically x + 5y le 25 , 2x + 2y ge 2 , 2x - 2y le 0 , x ge 0 , y ge 0

x + 2y le 40, 2x + y le 40, x ge 0, y ge 0

x + 2y le 40, 2x + y le 40, x ge 0, y ge 0

Z= 4x + 7y x + 2y le 20, x + y le 15, x ge 0, y ge 0 .

Solve the following graphically x + 4y le 8 , 3x - 4y le 12 , x ge 0 , y ge 0

2x + y le 6, x + 2y le 8, x ge 0, y ge 0

2x + y le 6, x + 2y le 8, x ge 0, y ge 0

(i) Z = 20x + 10y x + 2y le 28, 3x + y le 24, x ge 2, x, y ge 0 (ii) Z = 7x + 10y 4x + 6y le 240, 6x + 3y le 240, x ge 10, x ge 0, y ge 0 (iii) Z = 22x + 44y subject to the constraints: x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .