Sensitivity Analysis. Emperor's Clothes Fashions can invest $$5$ million in a sew plant for producing insisible makeup. The plant has an expected life of $5$ years, and expected sales are $6$ million jars of makeup a year. Fixed costs are $$2$ million a year, and variable costs are $$1$ per jar. The product will be priced at $$2$ per jar. The plant will be depreciated straight$-$line over $5$ years to as satvage valuc of zero. The opportunity cost of capital is $10\%,$ and the tax rate is $40\%$

a$.$ What is projest NPV under these hase$-$cast ascumptuons?

b$.$ What is NPV if variable costs turn out to be $$1\mathrm{.}20$ per jar?

c$.$ What is NPV if fixed costs turn out to be $1\mathrm{.}5$ mittion per year?

d$.$ At what price per jar woukd project NPV is zero?