A Mail-Order Firm Processes 5,000 Checks Per Month

A mail-order firm processes 5,000 checks per month.Of these,55 percent are for $55 and 45 percent are for $65.The $55 checks are delayed 2 days on average; the $65 checks are delayed 5 days on average.Assume each month has 30 days.The interest rate is 6 percent per year.How much should the firm be willing to pay to reduce the weighted average float by 1.4 days?

A) $4,165
B) $13,883
C) $41,650
D) $138,883
E) $416,500