A company is planning to manufacture snowboards. The fixed costs are $$100$ per day and total costs are $$5900$ per day at a daily output of $20$ boards.

A$.$ Assuming that the total cost per day, $C(x),$ is linearly related to the total output per day, $x,$ write an equation for the cost function.

$C(x)=$

B$.$ The average cost per board for an output of $x$ boards is given by $\frac{?}{\text{b}\text{a}\text{r}}(C)(x)=C\frac{x}{x}.$ Find the average cost function.

$\frac{?}{\text{b}\text{a}\text{r}}(C)(x)=$

Sketch a graph of the average cost function, including any asymptotes, for $1x30.$ Choose the correct graph below.

A$.$

B$.$

C$.$

D$.$

D$.$ What does the average cost per board tend to as production increases?