It takes Cookie Cutter Modular Homes, Incorporated, about six days to receive and deposit checks from customers. The company$$s management is considering a lockbox system to reduce the firm$$s collection times. It is expected that the lockbox system will reduce receipt and deposit times to three days total. Average daily collections are $$161,000,$ and the required rate of return is $7$ percent per year. Assume $365$ days per year.