Help me optimize my work

Question

I am a physician. I am required to work 14 shifts per month. I may work extra shifts for 1400 dollars per shift. In addition, I earn productivity based on a system called RVUs. For every RVU I produce over 4100 for the year, I will earn an additional 30 dollars If I average 33 RVUs per shift, what is the optimal number of shifts to work to earn an additional gross 100,000 dollars per year from all sources?

Answer 1

$100000=\left(S-14\times12\right)\times1400+\left(33S-4100\right)\times30\implies S\approx192$

You must work 192 shifts per year.