SAT$-$Corp. is considering the purchase of a new piece of machinery that will cost them $$1,800,695$ today $($in $2010).$ This piece of machinery, however, will increase the company's after$-$tax cash flows by $$500,000$ in $2011,$ $$750,000$ in $2012,$ $$1,000,000$ in $2013.$ If SAT$-$Corp."s discount rate $($WACC$)$ is $10\%,$ then the NPV of making this purchase is

a$.$ $$449,305$

b$.$ $$243,896$

c$.$ $$25,000$

d$.,$$$1,760,000$