Panda Express has a store in EMU with a steady revenue of $$5$ million each year. The company believes the revenue will remain $$5$ million a year for the next three years if they keep the operations as it is now. However, the company is considering opening a new store in $13$th street. The initial cost of opening the store is $$6$ million and the projected revenue of the new store is $$3$ million a year for the next three years. The company$$s analysts are estimating that the customers on the west side of the campus would stop coming to the EMU store and go to the new one. Therefore, they expect that $$1$ million of the new store revenue will be the revenue shifted from the EMU store. Assuming the interest rate is $10\%,$ is opening the new store a profitable project?

$*$please solve using NPV equations with base estimates, worst case scenario, best case scenario$*$