please show work and write big and clearly. do not use excel

ILAR PROGRAMMING APPLICATIONS 3) International City Trust (ICT) invests in short-term trade credits, corporate bonds, gold stocks, and construction loans. The board of directors has placed limits on how much can be invested in each area. INTEREST RETURN INVESTMENT Trade credit Corporate bonds Gold stocks Construction loans MAXIMUM INVESTMENT ($1,000,000s) 1.0 2.5 1.5 1.8 ICT has $5 million to invest and wants to accomplish two things: Maximize the return on investment over the next six months Satisfy the diversification requirements set by the board The board has also decided that at least 55% of the funds must be invested in gold stocks and construction loans and no less than 15% be invested in trade credit. Goal is to maximize monthly profit. Formulate the problem as a linear program and obtain the optimal solution with QM