Two years from now, the company will have partial$-$year sales of $$17$ million. Sales in the

following four years will be $$28$ million, $$37$ million, $$40$ million, and $$43$ million. Because the

new plant will be more efficient than LSUS corporation's current manufacturing facilities, variable

costs are expected to be $65$ percent of sales, and fixed costs will be $$2\mathrm{.}4$ million per year. The new

plant will also require net working capital amounting to $8$ percent of sales for the next year.

Han realizes that sales from the new plant will continue into the indefinite future. Because of

this, he believes the cash flows after Year $5$ will continue to grow at $2\mathrm{.}5$ percent indefinitely. The

company's tax rate is $40$ percent and the required return is $12$ percent.

I need help calculating the profitability index, IRR, and NPV$.$ Could you please provide detailed steps using equations and formulas