Maximize ` z = 4 x + 5y `, subject to
` 2x + y ge7, 2x + 3 y le 15, x le 3, x ge 0 , 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 = 10 x + 25 y , subject to x le 3, y le 3, x + y le 5, x ge 0 , y ge 0 .

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

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

x-2y le 2 , x +y le 3,-2x +y le 4, x ge 0,y ge 0

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

{:("Maximize" ,z = 3x + 5y , "subject to "),( ,x + 4y le 24 , 3x + y le 21 "," ),(,x + y le 9 , x ge 0 ", " y ge 0 ):}

Minimize z = x + 3y Subject to x + y le 5 2x + y ge 4 x + 5y ge 5 x ge 3 y le 3

Maximize Z = 2x + 3y subject to x + 2y le 6, x ge 4, y ge 0 is :

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