Chapter 5.6, Problem 15E

13. Inventory The yearly inventory expense $E$, in dollar, of a car dealer is the function of number $Q$ of automobiles ordered at a time from the manufacturer. A dealer who orders a only few automobiles at a time will have the expense of placing several orders, whereas if the order sizes are large then the dealer will have large inventory of unsold automobiles. For one dealer, the formula is,

$E=\frac{425Q^2+8000}{Q}$

So $E$ is a rational function of $Q$.

a. Make a graph of $E$ versus $Q$ covering order sizes upto 10.

b. Explain in practical terms the behavior of the graph near the pole at $Q=0$. (Hint: Keep in mind that there is a fixed cost of processing each order, regardless of the size of the order)