The company has an agreement with a bank that allows the company to borrow in increments of $$1,000$ at the beginning of each month. The interest rate on these loans is $1\%$ per month, and for simplicity, we will assume interest is not compounded. At the end of the quarter, the company would pay the bank all of the accumulated interest on the loan and as much of the loan as possible $($in increments of $$1,000),$ while still retaining at least $$57,000$ in cash.