Industrial Engineering Question

Problem 3 (Points 30). At the beginning of months 1, 2, 3, and 4, the Simplex Company receives certain revenues, after which it pays the bills: Revenues Bills $840 $600 $510 $350 $520 $200 $230 Month 1 Month 2 Month 3 Month 4 $810 Any money left over may be invested for 1 month at an interest rate of 1%, or for two months at an interest rate of 3%. For example, 2 dollars invested at the beginning of month 2 becomes 1.01.2 dollars at the beginning of month 3, and 1.032 dollars at the beginning of month 4. Formulate a linear program that determines an investment strategy that maximizes cash on hand at the beginning of month 5