A firm has monthly average costs, in dollars, given by

$\frac{?}{\text{b}\text{a}\text{r}}(C)=\frac{43,000}{x}+200+x$

where $x$ is the number of units produced per month. The firm can sell its product in a competitive market for $$2000$ per unit. If production is limited to $350$ units per month, find the number of units that gives maximum profit.

$x=$

units

Find the maximum profit.