$1\mathrm{.}5$ The demand function for a truckload of firewood for college students in a small town is

$Q_C=400-p$

It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse demand function for college students is

$p=400-Q_c.$

The demand function for other town residents is

$Q_r=400-2p$

What is the inverse demand function for other town residents?

At a price of $$300,$ will college students buy firewood? What about other town residents? At what price is the quantity demanded by other town residents zero?

Draw the total demand curve, which sums the demand curves for college students and other residents $($Hint: See the Mini$-$Case"Summing Corn Demand Curves."$)$