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\title{MA162: Finite mathematics}
\subtitle{Linear Programming:  More on the Simplex Algorithm}
\author{Paul Koester}
\institute{University of Kentucky}
\date{April 30, 2014}

\begin{document}

\maketitle

\begin{frame}{Linear Programming with the Simplex Algorithm}
A farmer has 100 acres of land suitable for growing corn, wheat, and soy.  
Each acre of corn costs \(\$600\) to grow and requires 40 hours of labor.  
Each acre of wheat costs \(\$550\) to grow and requires 32 hours of labor.  
Each acre of soy costs \(\$500\) to grow and requires 40 hours of labor.  
The farmer has \(\$50,000\) to spend on growing crops and 2000 labor hours.
Profits are \(\$350\) per acre of corn, \(\$325\) per acre of wheat, and \(\$375\) per acre of soy.  
\vfill
Help the farmer determine how much of each crop should be grown in order to maximize 
her profit.  
\vfill
Are there any left over resources?  If so, how much of each?

\end{frame}

\end{document}
