Aria Acoustics, Incorporated $($AAI$),$ projects unit sales for a new $7-$octave voice emulation implant as follows:

Year Unit Sales

$174,700$

$280,100$

$385,800$

$483,000$

$569,900$

Production of the implants will require $$1,490,000$ in net working capital to start and additional net working capital investments each year equal to $20$ percent of the projected sales increase for the following year. Total fixed costs are $$3,850,000$ per year, variable production costs are $$144$ per unit, and the units are priced at $$326$ each. The equipment needed to begin production has an installed cost of $$18,600,000.$ Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as $7-$year MACRS property. In five years, this equipment can be sold for about $25$ percent of its acquisition cost. The tax rate is $24$ percent and the required return is $18$ percent. $($MACRS schedule$)$

a$.$

What is the NPV of the project? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the IRR of the project? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$