### Linear Programming : Solving by a Graphical Method

Let x be the number short-answer questions and y be the number of essay quesitons. Given : 9 points for short - answer 25 points for essay. x <=10, obviously x >=9 y<=10, obviously y >=3 x + y <=19 ( constraints) Maximum score Maximum Z= 9x + 25 y Subject to the constraints, x+y<=19, x>=9