$($c$)$ A company is considering investing a new project that requires an initial investment

of $$1,000,000.$ The project is expected to generated cash inflows of $$200,000$ per year for

$15$ years. The project also has a salvage value of $$50,000$ at the end of the $15$ th year. If

the company's required rate of return is $10\%,$ what is the discounted payback period for

the project? Should the company invest in the project based on this analysis?