3. You just won a $100,000 lottery and plan to invest it among the following alternatives: Investment Global currency mutual fund (GF Energy mutual fund (EF Certificate of deposit (CD) Annual Return Rate 9% 7% 4% You want to invest this $100,000 in such a way to maximize your return from investment (in terms of dollars) one year from now, while meeting the following guidelines: . You must invest at least $20,000 in GF, and at most $30,000 in EF. The amount invested in CD should be at least as much as the amount invested in GF . No more than 60% of the investment can be in GF and EF combined. . EF and CD combined should account for at least 30% of your investment Do not assume that you will invest all of $100,000. This decision should be determined by your linear programming model. Formulate a linear programming model for your investment decision. (11pts) Solve the model using Excel Solver. (6pts) Without re-solving the problem, can you tell what would be the effect on your annual return if GF requires a minimum investment of $30,000? (Increase or decrease by how much? Or no change? Why?) (Gpts) Suppose GPs return is increased to 10%. Without resolving the problem, can you tell if it is optimal to invest more in GFP Explain. (3pts) a. b. c. d