\documentclass{exam}[12pt]

\usepackage{amsfonts,amsmath}

\boxedpoints

\addpoints
\pointsinmargin

\begin{document}
\pagestyle{head}

\firstpageheader{\large Calculus I}{\bf\Large Optimization}{\large Name:\hspace{1in} }
%\extraheadheight{.7in}
%\extrafootheight{-1in} 
%\small{\textit{Work all questions completely.  Show all work.}}

\begin{questions}
\large{
\question You want to make a box by cutting small squares from each
corner of a sheet of tin and then bending up the resulting flaps.  If the 
tin measures 10 inches by 16 inches, how should big should your cuts be
to create the box with the greatest volume?

\pagebreak
\question You want to make a closed box with a square base and
square top.  The material for
the sides costs 2 cents per square inch, the material for the top costs 3 cents
per square inch, and the material for the bottom costs 4 cents per square 
inch.  If you have at most \$15 to spend, what dimensions of the box
will produce the greatest volume?
\pagebreak

\question  You have a piece of rope 100 inches long.  You want to cut the
rope and make a circle from one piece and a square from the other.  Where
should you cut the rope so that the area of the square plus the area of
the circle is as large as possible?
\vspace{2.2in}

}
\end{questions}
\end{document}