The local franchise of Jiffy Lube is thinking of buying a new lift for $$80,000$ that would make it easier to access the oil filter in customers' cars and save labor. The savings would increase over the project's $3-$year life, in line with the projected growth of the business:

A B C D

$1$ Year $123$

$2$ Cost savings $90,00099,000118,800$

The machine is to be linearly depreciated to zero and will have no resale value after $3$ years. The company uses a discount rate of $16\%$ and has a tax rate of $21\%.$What is the project cash flow in year $3?$What is the NPV$?$