BIM Software Company considers purchasing a computer system in $2024.$ The initial capital cost of the computer system is $$3\mathrm{.}6M.$ The system will be implemented in $2025,$ the license is valid until $2029$ and it will be sold for $$23\mathrm{.}000$ at the end of $2029.$ It is estimated that a total of $4$ officers' salary can be saved on the $1^{st}$ year of implementation. There is also an anticipated saving of $$2\mathrm{.}5M$ per year from $2026$ due to enhanced operations.

The yearly staff cost of an officer is $$330K$ and the system maintenance cost is fixed at $$400K$ per year.

$($a$)$ Prepare a table as below for the cash flow of the purchase.

$(8\%)$

$($b$)$ Calculate the NPV of the purchase based on the cost of capital at $6\%.(8\%)$

$($c$)$ Is this a good investment? Explain.

$(4\%)$