A company is considering two mutually exclusive projects. Project A requires an initial investment of $$1,000,000$ and is expected to generate cash flows of $$300,000$ per year for $5$ years. Project B requires an initial investment of $$1,200,000$ and is expected to generate cash flows of $$350,000$ per year for $5$ years. The company's required rate of return is $10\%.$ Which project should the company undertake based on the Net Present Value $($NPV$)$ method?