Problem $10-36$ Project Evaluation $[$L$01]$

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

$\backslash$table$[[$Year$,$Unit Sales$],[1,75,200],[2,88,200],[3,107,750],[4,100,300],[5,68,400]]$

Production of the implants will require $$2,050,000$ in net working capital to start and additional net working capital investments each year equal to $15$ percent of the projected sales increase for the following year. Total fixed costs are $$4,300,000$ per year, variable production costs are $$266$ per unit, and the units are priced at $$408$ each. The equipment needed to begin production has an installed cost of $$18,700,000.$ Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as seven$-$year MACRS property. $($MACRS schedule$)$ In five years, this equipment can be sold for about $20$ percent of its acquisition cost. The tax rate is $21$ percent the required return is $17$ percent.

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? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$