Bird's Eye Treehouses, Incorporated, a Kentucky company, has determined that a majority of its customers are located in the Pennsylvania area. It therefore is considering using a lockbox system offered by a bank located in Pittsburgh. The bank has estimated that use of the system will reduce collection time by $2$ days. Assume $365$ days a year. Average number of payments per day$810$Average value of payment$ $760$Variable lockbox fee $($per transaction$)$$ $\mathrm{.}20$Annual interest rate on money market securities$5\%$ a$.$What is the NPV of the new lockbox system? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$b$.$Suppose in addition to the variable charge that there is an annual fixed charge of $$4,000$ to be paid at the end of each year. What is the NPV now? $($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$