Foyert Corporation requires a minimum $$30,000$ cash balance. Loans taken to meet this requirement cost $1\%$ interest per month $($paid at the end of each month$).$ Any preliminary cash balance above $$30,000$ is used to repay loans at month$-$end. The cash balance on October $1$ is $$30,000,$ and the company has an outstanding loan of $$10,000.$ 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,$$110,000,$$$80,000,$$$100,000$