$\backslash$#$3(12$ points$)$:

The table below gives information about the marginal cost $($MC$)$ and marginal revenue $($MR$)$ for a company at different production levels of a product. Cost and Revenue are measured in dollars. The quantity $\backslash ($ q $\backslash )$ is measured in "items".

$($a$)$ Use the table below to estimate where profit is maximized. Clearly write your choice for the value of $\backslash ($ q $\backslash )$ where profit is maximized.

$($b$)$ Write at least two sentences explaining why you believe profit is maximized there.