Anne Alyze is the investments manager for an organization that has just signed a contract to purchase some new equipment costing $750,000. The contract calls for payment of $150,000 two months from now and payment of the balance six months from now when the equipment will be delivered. To meet this schedule of payments, Anne intends to immediately set up asinking fund, whose principal and interest will be used in the future to make a capital expenditure. Because the available investments will generate additional cash before the scheduled payments are due, Anne knows she can start the sinking fund with less than the full purchase price of $750,000. How much less depends on the quality of the investment opportunities available. Anne has decided to focus on the 12 investment opportunities summarized Given the available investment opportunities and the required schedule of payments, Anne's goal is to develop an investment strategy that minimizes the amount of cash she must initially place in the fund. In developing her strategy, Anne must also ensure she meets two self-imposed guidelines pertaining to risk and liquidity as shown on the next slide. 1.During each month, the average risk index of invested funds cannot exceed 6. At the beginning of each month (after any new investments have been made), the average months to maturity of invested funds cannot exceed 2.5 months Do not use solver.