[Investment, 24 points] International City Trust (ICT) has $5 million available for investment and wishes to maximize the interest earned on its investment over the next year. The specifics of the investment possibilities are shown in the Table below. Interest Earned (Return on Investment) 7% 10% Investment Trade Credits Corporate bonds Gold stocks Platinum stocks Mortgage securities Construction loans 19% 12% 8% 14% To encourage diversified investment portfolio, the board of directors has placed several limits on the amount that can be committed to any one type of investment: (1) No more than 25% of the total amount invested may be in any single type of investment, (2) At least 30% of the funds invested must be in precious metals, (3) At most 45% must be invested in trade credits and corporate bond. Formulate the problem as an LP model that maximizes the interest earned on its investments over the next year such that the conditions specified in the table above are met. Do not solve