Foyert Corporation requires a minimum $$6,500$ cash balance. Loans taken to meet this requirement cost $2\%$ interest per month $($paid at the end of each month$).$ Any preliminary cash balance above $$6,500$ is used to repay loans at month$-$end. The cash balance on October $1$ is $$6,500,$ and the company has an outstanding loan of $$2,500.$ Budgeted cash receipts $($other than for loans received$)$ and budgeted cash payments $($other than for loan or interest payments$)$ follow.

$\backslash$table$[[,$October,November,December$],[$Cash receipts,$$22,500,$$$16,500,$$$20,500$