A company is evaluating the feasibility of investing in machinery to manufacture an automotive component. It would need to make an investment of $$550,000$ today, after which, it would have to spend $$9,000$ every year starting one year from now, for twelve years. At the end of the period, the machine would have a salvage value of $$12,000.$ The company confirmed that it can produce and sell $8,400$ components every year for twelve years and the net return would be $$12\mathrm{.}20$ per component. The company's required rate of return is $7\mathrm{.}00\%.$

a$.$ What is the Net Present Value $($NPV$)$ of this investment option? b$.$ Is the investment option feasible?