Kelsey is preparing its master budget. Budgeted sales and cash payments for merchandise purchases for the next three months follow.

Budgeted July August September

Sales $$63,700$ $ $80,300$ $ $48,300$

Cash payments for merchandise purchases $41,00033,30034,100$

Sales are $20\%$ cash and $80\%$ on credit. Sales in June were $$56,550.$ All credit sales are collected in the month following the sale. The June $30$ balance sheet includes balances of $$12,600$ in cash and $$5,300$ in loans payable. A minimum cash balance of $$15,000$ is required. Loans are obtained at the end of any month when the preliminary cash balance is below $$15,000.$ Interest is $2\%$ per month based on the beginning$-$of$-$the$-$month loan balance and is paid at each month$-$end. If a preliminary cash balance above $$15,000$ at month$-$end exists, loans are repaid from the excess. Expenses are paid in the month incurred and consist of sales commissions $(5\%$ of sales$),$ office salaries $($$$4,300$ per month$),$ and rent $($$$6,800$ per month$).$

$(1)$ Prepare a schedule of cash receipts from sales for July, August, and September.

$(2)$ Prepare a cash budget for July, August, and September.