Question $1(15$ points$)$

The following function gives the average cost $(in$ dollars$)$ per advertisement when

paying for $x$ advertisements $tobe$ posted $on$ a popular Instagram account $in$ a given

month.

$\frac{?}{\text{b}\text{a}\text{r}}(C)(x)=\frac{2,450}{x}+50x+900$

$a.(2$ point$)$ What $is$ the domain $of\frac{?}{\text{b}\text{a}\text{r}}(C)?$

$b.(2$ point$)$ Find the derivative $of\frac{?}{\text{b}\text{a}\text{r}}(C).$

$c.(2$ point$)$ Identify all stationary points $of\frac{?}{\text{b}\text{a}\text{r}}(C).(if$ there are none, state why$)$

$d.(2$ point$)$ Identify all singular points $of\frac{?}{\text{b}\text{a}\text{r}}(C).(if$ there are none, state why$)$

$e.(2$ point$)$ Identify all endpoints $of\frac{?}{\text{b}\text{a}\text{r}}(C).(if$ there are none, state why$)$

$f.(5$ points$)$ Using the First Derivative Test, identify the exact location $of$ all relative

and $absolute$ extrema $of\frac{?}{\text{b}\text{a}\text{r}}(C).$