`6x + 5y le 150 , x + 4y le 80 , x ge 9 , y ge 0 `

Solve the following system of linear inequalities graphically 3x + 2y le 150 , x + 4y le 80 , x le 15 ,x, y ge 0

Minimize z = 6 x + 2y , subject to 5 x + 9y le 90, x + y ge 4, y le 8, x ge 0, y ge 0 .

Solve the following system of inequalities graphically: 3x + 2y le 150, x + 4y le 80, x le 15, y ge 0, x 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 + y x + y le 50, 3x + y le 90, x ge 0, y ge 0

Graphically Minimize Z = 7x + 4y subject to the constraints 5x + 2y ge 100, 3x + 5y ge 150, 9x + 5y le 360, x ge 0, y ge 0 .

In the question of maximum value of z = 800 x + 12000 y subject to constraints 9x +12 y le 180, 3x + 4y le 60 , x + 3y le 30 , x ge 30 , x ge 0, y ge 0 …….. is not a point of feasible region .

3x+2y le 150, x +4y le 80, x le 15, y ge0, x ge0