All sales are on credit. Collections are as follows: $22\%$ is collected in the month of the sale, and the remaining $78\%$ is collected in the month following the sale. Merchandise purchases cost $$110$ per unit. For those purchases, $60\%$ is paid in the month of purchase and the other $40\%$ is paid in the month following purchase. The company has a policy to maintain an ending monthly inventory of $23\%$ of the next month$$s unit sales. The May $31$ actual inventory level of $1,150$ units is consistent with this policy. Selling and administrative expenses of $$113,000$ per month are paid in cash. The company$$s minimum cash balance at month$-$end is $$130,000.$ Loans are obtained at the end of any month when the preliminary cash balance is below $$130,000.$ Any preliminary cash balance above $$130,000$ is used to repay loans at month$-$end. This loan has a $0\mathrm{.}5\%$ monthly interest rate. On May $31,$ the loan balance is $$45,000,$ and the company$$s cash balance is $$130,000.$