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\noindent

\vspace{-5in}
\begin{center}
 \Huge{
Some Modeling}
\end{center}

\begin{enumerate}


\item A company manufactures widgets.  Fixed daily costs are \$2000 and it costs \$1.5 to produce each widget.
\begin{enumerate}
\item Write the average cost $\overline{C}$ of producing $x$ widets.
\vspace{1in}
\item Find and interpret $\overline{C}(100)$ and $\overline{C}(500)$.
\vspace{1in}
\end{enumerate}



%2.5 \#93
\item The printing and binding cost for a college algebra book is \$10.  The editorial cost of \$200,000.  The first 2500 books are samples and are given free to professors.  
\begin{enumerate}
\item Write a function $f$ describing the average cost of salable books.
\vspace{1in}
\item Find the average cost of a saleable book if 10,000 books are produced.
\vspace{1in}
\item How many books must be produced to bring the average cost of a salable book under \$20?
\vspace{1in}
\item Find the vertical asymptote of the graph of $y=f(x)$.  How does it relate to this situation?
\vspace{1in}
\end{enumerate}

\newpage
%2.3 \#70 &2.2 \#69
\item A square piece of a tin 18 inches on each side is to be make into a box, without a top, but cutting a square from each corner and folding up the flaps to corm the sides.  
\begin{enumerate}
\item Draw a picture of the situation.
\vspace{1in}
\item Find the volume $v$ of the box as a function of the length of the squares removed from the corners.
\vspace{1in}
\item Use technology to find the size to cut the corners so that the volume of the box is 432 cubic inches?
\end{enumerate}
\end{enumerate}
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