The most likely outcomes for a particular project are estimated as follows:

Unit price: $ $50$

Variable cost: $ $30$

Fixed cost: $ $500,000$

Expected sales: $49,000$ units per year

However, you recognize that some of these estimates are subject to error. Suppose each variable turns out to be either $10\%$ higher or $10\%$ lower than the initial estimate. The project will last for $10$ years and requires an initial investment of $$2\mathrm{.}2$ million, which will be depreciated straight$-$line over the project life to a final value of zero. The firm$$s tax rate is $21\%,$ and the required rate of return is $12\%.$

a$.$ What is project's NPV in the best$-$case scenario, that is$,$ assuming all variables take on the best possible value?

b$.$ What is project's NPV in the worst$-$case scenario?