You are considering a new product launch. The project will cost $$1,750,000,$ have a $4-$year life, and have no salvage value; depreciation is straight$-$line to $0.$ Sales are projected at $220$ units per year; price per unit will be $$20,000$; variable cost per unit will be $$13,000$; and fixed costs will be $$500,000$ per year. The required return on the project is $15\%,$ and the relevant tax rate is $35\%.$

a$.$ Based on your experience, you think the unit sales, variable cost, and fixed cost projections given here are probably accurate to within $\backslash$pm $10\%.$ What are the upper and lower bounds for these projections? What is the base$-$case NPV$?$ What are the best$-$case and worst$-$case scenarios?