Ali is a student in XYZ university. Ali wants to apportion his available time of about 450min. a day between work and play. He estimates that play is twice as much fun as work. He also wants to study at least as much as he plays. However, Ali realizes that if he is going to get all his homework assignments done, he cannot play more than 3 hours a day. How should Ali allocate his time to maximize his pleasure from both work and play? a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis