On June 30, 2012, a company is preparing the cash budget for the third quarter. The collection pattern for credit sales has been 60% in the month of sale, 30% in the first month after sale, and the rest in the second month after sale. Uncollectible accounts are negligible. There are cash sales each month equal to 25% of total sales. The total sales for the quarter are estimated as follows: July, $30,000; August, $15,000; September, $35,000. Accounts receivable on June 30, 2012, were $10,000. What amount would be the projected cash collections for September? Please show work.

a) $21,375

b) $37,250

c) $28,500

d) $30,125