At the beginning of months 1, 2, 3, and 4, the Simplex Company receives certain revenues, after which it pays the bills:

Revenues Bills
Month 1 $800 $600
Month 2 $800 $500
Month 3 $300 $500
Month 4 $300 $250

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, x dollars invested at the beginning of month 2 becomes 1.01x dollars at the beginning of month 3, and 1.03x 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.