You work for Apple. After toiling away on $$10\mathrm{.}5$ million worth of prototypes, you have finally produced your answer to Google Glasses: iGlasses $($the name

alone is genius$).$ iGlasses will instantly transport the wearer into the world as Apple wants him to experience it: iTunes with the wink of an eye and apps that

can be activated just by looking at them. You think that these will sell for five years until the next big thing comes along $($or until users are unable to interact with

actual human beings$).$ Revenues are projected to be $$442\mathrm{.}5$ million per year along with expenses of $$345\mathrm{.}4$ million. You will need to spend $$58\mathrm{.}3$ million

immediately on additional equipment that will be depreciated using the $5-$year MACRS schedule. Additionally, you will use some fully depreciated existing

equipment that has a market value of $$10\mathrm{.}1$ million. As the iGlasses are an outcome of the R&D center, Apple plans to charge $$4\mathrm{.}6$ million of the annual costs

of the center to the iGlasses product for four years. Finally, Apple's working capital levels will increase from their current level of $$119\mathrm{.}1$ million to $$142\mathrm{.}3$ million

immediately. They will remain at the elevated level until year $4,$ when they will return to $$119\mathrm{.}1$ million. Apple's discount rate for this project is $14\mathrm{.}8\%$ and its tax

rate is $21\%.$ Calculate the free cash flows and determine the NPV of this project. $($Note: Assume that the opportunity cost must be after$-$tax and the equipment

is put into use in year $1.)$

Calculate the free cash flows below: $($Round to two decimal places.$)$