Paper Submarine Manufacturing is investigating a lockbox system to reduce its collection time. It has determined the following:

Average number of payments per day $435$

Average value of payment $ $845$

Variable lockbox fee $($per transaction$)$ $ $\mathrm{.}15$

Daily interest rate on money market securities $\mathrm{.}068\%$

The total collection time will be reduced by three days if the lockbox system is adopted.

a$.$ What is the PV of adopting the system? $($Do not round intermediate calculations.$)$

b$.$ What is the NPV of adopting the system? $($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

c$.$ What is the net cash flow per day from adopting the lockbox system? Per check? $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$