Maximize `x^2 - y^2` subject to `x^2 + y^2 = 1`

Maximize Z = 5x + 3y subject to 2x + 5y le 10, x , y ge 0 .

Maximize z = 4x + 6 y ,subject to 3x + 2y le 12, x + y ge 4, x ge 0 , y ge 0

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

Maximize Z = x + 2y subject to x + y ge 5, x ge 0, y ge 0 is :

Maximize Z = x + 2y subject to x + y ge 5, x ge 0, y ge 0 .

Maximize Z = x + 2y subject to : x + y ge 5, x ge 0, y ge 0 .

(i) Maximize Z = 2x + 3y subject to : x + 2y le 6, x ge 4, y ge 0 (ii) Maximize Z = 4x + y subject to: x + y le 50, y ge 0 (iii) Maximize Z = x + 2y subject to: 2x + y le 6, x,y ge 0 (iv) Maximize Z = 3y + 5x subject to: 3x + 5y le 15, x, y ge 0 .

Minimize and maximize z = x + 2y subject to x + 2y ge 100, 2x - y le 0 , 2x + y le 200, x , y ge 0 .