Question $18(0\mathrm{.}4$ points$)$

Millie$$s Bookshelf is a startup company that offers unlimited access to a variety of eBooks for a fixed monthly subscription fee. As Millie$$s is in its early stages, it has not yet determined how much to charge its customers. However, the company's major funder has suggested maintaining a minimum Customer Lifetime Value $($CLV$)$ of $$200.$ It is estimated that the cost of serving one customer will be about $$10$ per month. Assuming a $2\%$ monthly interest rate and a $90\%$ monthly retention rate, what is the minimum price that Millie$$s Bookshelf should charge its customers to achieve a CLV of at least $$200?$

Question $18$ options:

$$36\mathrm{.}667$

$$32$

$$29$

$$80\mathrm{.}58$

$$52\mathrm{.}39$

$$66\mathrm{.}885$