You launched Project $x$ that is based on the pre$-$investor's model. Pre$-$investors denote nonprofessional or non$-$institutional investors such as friends, family and strangers who help to fund the project. However, they expect to see a return on their investment. Nonetheless, Project $x$ involves a new social media platform that seeks to generate revenue from user subscriptions. To launch the project, the pre$-$investors need to invest an accumulative amount of R$75000,00($year $0).$ As subscribers and pre$-$investors join your venture, you expect the initial investment of R$75000$ to grow, increasing with R$15550,00$ annually for four years $($years $1-4).$ In the first year, you expect the new social media platform will generate R$110000,00,$ increasing annually with R$25000,00.$ Calculate the net present value $($assume a discount rate of $10\%)$

a$.$ R$470800,00$

b$.$ R$47800,50$

c$.$ R$590500,00$

d$.$ R$28027\mathrm{.}08$