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\noindent
\vfil \noindent
\large
\hfil Math 120 A - Spring 2009 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil April 23, 2009 \hfil \pp
\hfil Answers \hfil \pp
\normalsize

There were two versions of the exam.  

Version A - In problem 1, the radius of the forest was 12 km.

\begin{enumerate}

\item 3.2272 hours.

\item $P$ is the point $(2.88235, 6.37903)$.

\item The orchard's maximum possible total output is 7717.5 kg.

\item (a) $\dsps x=\frac{2}{5}$ is the only solution. 
(b) One function that works is $\dsps h(x) = \sqrt{10} x + \frac{-5}{1+\sqrt{10}}$.

\end{enumerate}

Version B - In problem 1, the radius of the forest was 9 km.

\begin{enumerate}

\item 2.0295 hours.

\item $P$ is the point $(4.653846, 9.96703)$.

\item The orchard's maximum possible total output is 9680 kg.

\item (a) $\dsps x=-\frac{2}{7}$ is the only solution. 
(b) One function that works is $\dsps h(x) = \sqrt{8} x + \frac{-7}{1+\sqrt{8}}$.

\end{enumerate}





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