Toilet Bowl Brushes Britney runs a company that sells Donald$-$Trump$-$shaped toilet bowl brushes $($with orange bristles... wonderful for scrubbing$)$ that she makes for $$7\mathrm{.}10$ and sells for $$11\mathrm{.}20.$ Let's say she sells $8,000$ this year. Please make a model that lets us calculate his total profit for the next $5$ years, assuming each year, she sells $4\%$ more brushes. Assume that her costs rise by $7\%$ per year, but that she keeps the selling price constant.

A$)$ What is her total profit over $8$ years $($that is$,$ including years $2024-2031)?$

B$)$ What would her starting sales quantity have to be instead if she wanted her total profit to be $$200,000?$

C$)$ Going back to the original quantity, what is her total profit over $8$ years if costs rise by $9\%$ instead? $|$