A beauty product company is developing a new fragrance named Happy Forever. There is a probability of $0\mathrm{.}52$ that consumers will love Happy Forever, and in this case, annual sales will be $1\mathrm{.}02$ million bottles; a probability of $0\mathrm{.}37$ that consumers will find the smell acceptable and annual sales will be $228,000$ bottles; and a probability of $0\mathrm{.}11$ that consumers will find the smell unpleasant and annual sales will be only $50,000$ bottles. The selling price is $$36,$ and the variable cost is $$11$ per bottle. Fixed production costs will be $$1\mathrm{.}08$ million per year, and depreciation will be $$1\mathrm{.}15$ million. Assume that the marginal tax rate is $27$ percent. What are the expected annual incremental after$-$tax free cash flows from the new fragrance