A Provincial Teachers Pension Fund manager decides to invest at most $50 million in Canada Bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $20 million in bonds and at least $6 million in mutual funds. Bonds have an initial fee of $300 per million dollars invested, while the fee for mutual funds is $100 per million. The fund manager is allowed to spend no more than $8,400 on fees. How much should be invested in each to maximize annual interest? Formulate problem as an LP model. Please clearly define your decision variables. Find the optimal solution using graphical method. How much should be invested in each option? What is the maximum annual interest