Every month, your neighbour receives three cheques, one for £12,000, one for £7,000 and one for £3,000. The largest cheque takes 4 days to clear after it is deposited; the smallest one takes 5 days; and the £7,000 cheque takes 6 days because it is sent from overseas. Assume 30 days in a month, on an average.

(a) What is the total float for the month?

(b) What is the average daily float?

(c) What are the average daily receipts and weighted average delay?