Cow Chips, Inc., a large fertilizer distributor based in California, is planning to use a lockbox system to speed up collections from its customers located on the East Coast. A Philadelphia-area bank will provide this service for an annual fee of $15,000 paid at the end of the year plus 10 cents per transaction. The estimated reduction in collection and processing time is one day. Treasury bills are currently yielding 5 percent per year, and there are 365 days per year. If the average customer payment in this region is $5,200, how many customers each day, on average, are needed to make the system profitable for Cow Chips? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Respuesta :

Answer:

Explanation:

Annual Fee                                                      15,000.00

Fees per day(15,000/365)                              41.10

Other fees per transaction                               0.10

Treasury Bills                                                       5%

Average Customer Payment                       4,800.00

Average Savings per day (4,800*5%/365)       0.6575

Let number of customers be X  

41.10 + .10X =.6575X  

41.10 = .5575X  

X=74  

74 customers are neeeded each day to break even  

thus more than 74 customers per day will make this system profitable.

 

Note: We have assumed 365 days each year.