Prime Products hopes to borrow $$51,000$ on April $1$ and repay it plus interest of $$860$ on June $30.$ The following data are available for the months April through June, during which the loan will be used:

a$.$ On April $1,$ the start of the loan period, the cash balance will be $$24,400.$ Accounts receivable on April $1$ will total $$151,200,$ of which $$129,600$ will be collected during April and $$17,280$ will be collected during May. The remainder will be uncollectible.

b$.$ The company estimates $30\%$ of a month's sales are collected in the month of sale, $60\%$ in the month following sale, and $8\%$ in the second month following sale. The other $2\%$ are bad debts that are never collected. Budgeted sales and expenses for the threemonth period follow:

$\backslash$table$[[$Sales $($all on account$),$April,May,June$],[$Merchandise purchases,$$285,000,$$$548,000,$$$251,000$