You are heading the R&D department of a growing biotech company. You have identified an investment opportunity that would require a $$5$ million investment upfront in terms of personnel and lab equipment and subsequent cash outflows of $$500,000$ per year. The company did a market study that suggests a cash revenue stream of $$2\mathrm{.}15$ million per year for three years and then $$1\mathrm{.}6$ million per year for another three years. At the end of the sixth year, it is estimated that the lab equipment could be sold for a salvage value of $$200,000.$ Assume that all of the cash flows are net of taxes. In terms of risk, the project would be similar to others in the firm, which uses a hurdle rate of $18\%.$From a purely economic perspective, should you invest in this project? what is the NPV$?$What is the IRR?What is the payback period?What is the profitability index for this project?