Maximize x 2y subject to the constraints x y 0Solutiongiv

Maximize x + 2y subject to the constraints

-x + y <= 100

6x + 6y <= 1200

x >= 0, y>= 0

Solution

given -X + Y = 100 ; 6X + 6Y = 1200 ; X + Y = 200 ;

solving the above 2 equations we get 2Y = 300 ; Y = 150; X = 50;

substitute X = 50 ; and Y = 150 ;in the given function X + 2Y we get 50 + 2* 150 = 350 ;