%% Math 131, Fall, 2003
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\usepackage{latexsym,amsmath,epic,eepic,pstcol}

\usepackage{math131}

\pagestyle{empty}
\newcommand{\ddx}[1]{\ds\frac{d}{d#1}}

\begin{document}

\begin{center}
\textbf{Holy Cross College, Fall Semester, 2003} \\
\textbf{Math 131, Professor Hwang} \\
Worksheet on Optimization
\end{center}

\be

\item A rectangular box without a lid is to be made from a
  $24\times36$~inch piece of cardboard by removing a square from each
  corner and folding up the resulting flaps along the dotted lines.
  Find the size of the cutouts that maximizes the box's volume.

  \input{handout08a.eepic}

  \vfil

\item A rectangular swimming pool is to be built with an area of
  1800~square feet. The pool will be surrounded by a patio of width
  5~feet on each side and 10~feet at each end. Find the dimensions of
  the pool that minimize the total area of the property required.

  \input{handout08b.eepic}

\vfil

\item A rectangle in inscribed in a semicircle of radius~1. Find the
  dimensions that maximize the area of the rectangle.

  \input{handout08c.eepic}

\ee

\eject

\end{document}
