Q$.1$ Consider the accompanying break$-$even graph for an ice cream factory, and answer the following questions as they pertain to the graph.

$($a$)$ Give the equation for total revenue for x units per year.

$($b$)$ Give the equation for total costs for x units per year.

$($c$)$ What is the break$-$even level of x $?$

$($d$)$ If you sell $2000$ units this year, will you have a profit or a loss? How much?

$($e$)$ At $1000$ units, what are your marginal and average costs?