Lockbox systemHardin$-$Gehr Corporation $($HGC$)$ began operations $5$ years ago as a small firm serving customers in the Detroit area. However, its reputation and market area grew quickly. Today HGC has customers all over the United States. Despite its broad customer base, HGC has maintained its headquarters in Detroit; and it keeps its central billing system there. On average, it takes $5$ days from the time customers mail in payments until HGC can receive, process, and deposit them. HGC would like to set up a lockbox collection system, which it estimates would reduce the time lag from customer mailing to deposit by $2$ days$-$bringing it down to $3$ days. HGC receives an average of $$2,100,000$ in payments per day.Lockbox systemHardin$-$Gehr Corporation $($HGC$)$ began operations $5$ years ago as a small firm serving customers in the Detroit area. However, its reputation and market area grew quickly. Today HGC has customers all over the United States. Despite its broad customer base, HGC has maintained its headquarters in Detroit; and it keeps its central billing system there. On average, it takes $5$ days from the time customers mail in payments until HGC can receive, process, and deposit them. HGC would like to set up a lockbox collection system, which it estimates would reduce the time lag from customer mailing to deposit by $2$ days$-$bringing it down to $3$ days. HGC receives an average of $$2,100,000$ in payments per day.Lockbox systemHardin$-$Gehr Corporation $($HGC$)$ began operations $5$ years ago as a small firm serving customers in the Detroit area. However, its reputation and market area grew quickly. Today HGC has customers all over the United States. Despite its broad customer base, HGC has maintained its headquarters in Detroit; and it keeps its central billing system there. On average, it takes $5$ days from the time customers mail in payments until HGC can receive, process, and deposit them. HGC would like to set up a lockbox collection system, which it estimates would reduce the time lag from customer mailing to deposit by $2$ days$-$bringing it down to $3$ days. HGC receives an average of $$2,100,000$ in payments per day$\mathrm{.}17-4$: The Cash Conversion Cycle

$17-6$: Cash and Marketable Securities

Lockbox system mailing to deposit by $2$ days$-$bringing it down to $3$ days. HGC receives an average of $$2,100,000$ in payments per day.

a$.$ How much free cash would HGC generate if it implemented the lockbox system? Round your answer to the nearest cent.

$

Would this be a one$-$time cash flow or a recurring one, assuming the company ceases to grow?

How would growth affect your answer?

If the firm grows, cash flow $-$Select$-$

b$.$ If HGC has an opportunity cost of $10\%,$ how much is the lockbox system worth on an annual basis? Round your answer to the nearest cent.

$

c$.$ What is the maximum monthly charge HGC should pay for the lockbox system? Round your answer to the nearest cent.

$