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QUESTION 2 (25 marks) a) KWSP manages funds for a number of companies. The investment strategy is tail each client's needs. For a new client, KWSP has been authorized to invest up to $1.2m in two investment funds: X type and Y type. Each unit of the X costs $50 and each unit costs $100. The calculations show that: X provides an annual rate of return of 10% while provides an annual rate of return of 4%. According to KWSP's risk measurement system each unit invested in X type has a risk index of 8 , and each unit invested in Y type has a risk index of 3. The higher risk index associated with the X simply indicates that it is the riskier investment. After deep discussion with the client, KWSP said that their main objective is to minimize risk. KWSP requirement that the annual income from the investment should be at least $60,000. KWSP's client also specified that at least $300,000 should be invested in the Y fund. Develop the LP model based on risk index that can help the company to take a decision. (DO NOT SOLVE) b) Solve the following problem by using simplex method. Max14x1+14.5x2+18x3st.x1+2x2+2.5x350x1+x2+1.5x330x1,x2,x30 c) Use the graphical method to find the optimum values for maximization problem of the feasible solution. Get the Linear Programming Model directly from the Table Q2