Camptown Togs, Inc., a children's clothing manufacturer, has always found payroll processing to be costly because it must be done by a clerk. The number of piece-goods coupons received by each employee is collected and the types of tasks performed by each employee are calculated. Not long ago, an industrial engineer designed a system that partially automates the process by means of a scanner that reads the piece-goods coupons. Management is enthusiastic about this system, because it utilizes some personal computer systems that were purchased recently. It is expected that this new automated system will save $43,000 per year in labor. The new system will cost about $25,000 to build and test prior to operation. It is expected that operating costs, including income taxes, will be about $5,500 per year. The system will have a five-year useful life. The expected net salvage value of the system is estimated to be $3,500. Assume that the cash flows occur continuously throughout the year.

(a) How long does it take to recover the investment?

The payback period is _______ years. (Round to two decimal places)

(b) If the firm's interest rate is 13% after taxes, what would be the discounted payback period for this project?

The discounted payback period would be_______ years. (Round to two decimal places.)

Detailed explanation and answers greatly appreciated.