Assume SAP Inc. received a $$2$ million grant under its Small Business Innovation program. SAP invested the grant money and developed a system to remove metal contaminants from storm water in shipyards. The firm estimates that each shipyard spends $$700,000$ a year on storm water clean $-$ up efforts. If SAP is able to sign up and retain four shipyards from the first year onwards, what is the present value $($PV$)$ of the project $($net of investment$)$ if the cost of capital for SAP is $15\%$ per year? Assume a cost of operations and other costs for SAP equal $50\%$ of revenue.

$$ A$.$ $$7\mathrm{.}7$ million

B$.$ $$7\mathrm{.}33$ million

$$ C$.$ $$6\mathrm{.}23$ million

$$ D$.$ $$5\mathrm{.}87$ million