You work for LifeRhythm Devices, a company that makes wearable heart$-$monitoring devices. You are now reviewing information about a new product. You think you should be able to sell $200,000$ units of these devices per year for $3$ years. Your team has spent $$7\mathrm{.}5$ million designing and testing the products in the past two years. You think you can charge $$200$ per unit and the production of the devices will cost $$75$ per unit $($includes both materials and labor costs$).$ In addition, this project will also incur a marketing cost of $$5$ million per year. If you were to launch the production, you will have to buy new equipment worth $$60$ million. This equipment will have a $3-$year life and will be depreciated straight line to a book residual value of $$12$ million over that life. You expect you will be able to sell the equipment for $$25$ million when the project ends in $3$ years. Your company already had an existing net working capital level at $$6$ million. Production of the new product will require you to increase your working capital from $$6$ million to $$10$ million immediately. Working capital will decrease back down to $$6$ million at the end of the third year. The company currently leases a private jet for its CEO, which costs $$2\mathrm{.}5$ million annual lease. Your tax rate is $21\%.$ What is the NPV of the project of the discount rate is $15\%?($When answering this question, show detailed steps in the space given where you are instructed to "show your work here".$)$

a$)$ List Operating Cash Flows in the table below.

$\backslash$table$[[$Year$,0,1,2,3],[$OCF$,,,,]]$

Show your work here:

b$)$ List the change of Net Working Capital in the table below. $($List increase as $+,$ and decrease as $-.)$

$\backslash$table$[[$Year$,0,1,2,3],[$Chg$.$ Of NWC$,$ddots,,,$]]$

$($Showing your work for part b$)$ is optional$)$

c$)$ List the change of Capital Investment in the table below. $($List increase as $+,$ and decrease as $-.)$

$\backslash$table$[[$Year$,0,1,2,3],[\backslash$table$[[$Chg$.$ of Capital$],[$Investment$]],,,,]]$

Show your work here:

d$)$ List the incremental free cash flow in the table below based on your answer from part a$)$ to c$)$

$\backslash$table$[[$Year$,0,1,2,3],[$Incremental FCF$,,,,]]$

$($Showing your work for part d$)$ is optional$)$

e$)$ If the appropriate discount rate for this project is $15\%,$ should LifeRhythm accept the project? Explain.