An investor wants to invest $$50,000$ in two mutual funds, A and B$.$ The rates of retum, risks and minimum investment requirements for each fund are: $(25$ pts$)$ Fund Rate of return Risk Minimum investment A $12\%\mathrm{.}5$ $$20,000$ B $9\%\mathrm{.}3$ $$10,000$ Note that a low Risk rating means a less risky investment. The investor can invest to maximize the expected rate of return or minimize risk. All $$50,000$ will be invested in these funds. a$.$ Define the objectives for this problem. b$.$ Formulate this problem with a Minimax objective and all appropriate constraints in the space below. c$.$ Find the optimal solution using Solver. Attach a copy of your final spreadsheet in the space below ensure your target values are clearly labeled on your spreadsheet. State your optimal solution