I need the Net Present Value, Payback Period, and Return on Investment calculated for two cases. In both cases, initial development costs are estimated at $$50,000$ and ongoing costs at $$10,000$ per year. Also, an additional $$2,000$ per year expense is anticipated beginning in year $3$ for system repair cost.

Scenario $1$: One$-$Time Membership Fee

Students pay a one$-$time membership fee of $$20.$ It is anticipated that membership will grow as word spreads about this new service. In the first year, you expect to sign up $100$ new members. In the second year, you anticipate adding $1,000$ more members, followed by an additional $2,500$ in the third year, $5,000$ in the fourth year, and $10,000$ in the fifth year.

Scenario $2$: Advertising

In the first year, you hope to sell $$10,000$ worth of advertising. Every year thereafter, you hope to double the amount of advertising you sell based on the prior year$$s sales.