# Finding the Firm's Maximum Monthly Profit

I was attempting to complete this question myself. However, I can't seem to get the right answer for part b).

Here's what I did:

Since Profit= Total Revenue - Total Cost ($P=R-C$), I first used the elimination method to find the solution.

The problem here is, I'm stuck on isolating for $x$. I tried the quadratic formula:

$x= -(-4700) \pm \frac{\sqrt (-4700)^2-4(\frac{121}{12})(0)}{\frac {121}{12}}$

= $4700 \pm \frac{\sqrt 22090000}{\frac{121}{6}}$