The ABC Company has been a producer of picture tubes for television sets and certain printed circuits for radios. The company has just decided to maximize its profit for these two products. Production hours for a picture tube and printed circuits are 2 and 3 respectively. The production plant will operate 48 hours per week. Each picture tube will contribute $40 to profits while a printed circuit will contribute $80 to profits. The marketing department, after extensive research, has determined that a maximum of 15 picture tubes and 10 printed circuits can be sold each week. 

Formulate a linear programming model and solve it using graphical method.