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Question 2 50% marks Ali Bhatti is an investment banker in Standard Chartered Bank, Karachi. It is his job to advise to his clients who are interested in purchasing stocks in companies listed on Karachi Stock Exchange. Mr. Allah Ditta a new client has recently returned to his homeland Pakistan after spending 30 years in Canada. He now wishes to remain in Pakistan the rest of his life. He is considering to invest $50,000. Ali is planning to advise Mr. Allah Ditta to invest into a portfolio of two funds. Projected annual return of Fund-X & Fund-Y are 12% and 9% respectively. However, Mr. Ali has figured out that at most $35,000 should be invested in the Fund-X which has a risk rating of 0.6 per hundred dollars invested. Fund-Y is less risky and has a risk rating of 0.4 per hundred dollars invested. For example. if 1000 is invested in each of the two investment funds, then combined risk rating would be would be 0.6(10) + 0.4(10) = 10. After an informal conversation with Mr. Allah Ditta, Mr. Ali has assessed his risk tolerance to be moderate. Suppose that a moderate investor has a maximum rating of 240. a) What is the recommended investment portfolio for this client? What is the annual return for the portfolio? b) Suppose Mr. Allah Ditta's brother also wishes to invest $50,000 but he is classified as aggressive investor with a maximum risk taking of 320. What is the recommended investment portfolio for this aggressive investor? NB: Please submit your report in word format. a. Write linear programs for both questions. b. Solve problems in Excel. c. Report your results and interpretations in word document