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\author{Teschl Gerald}
\title{Quiz 5}
\date{11 Sep. 1995}

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\hspace*{1mm}\hfill {\bf Name}: $\ul{\hspace*{5cm}}$\\[2mm]
\hspace*{1mm}\hfill {\bf ID \#}: $\ul{\hspace*{5cm}}$\\[5mm]

{\Huge Quiz 5}\\[5mm]

\noindent A craftsman makes two kinds of jewelry boxes for craft shows. The
oval box requires 30 minutes of machine work and 20 minutes of finishing. The square box requires 20 minutes of machine work and 40 minutes of finishing. Machine work is limited to 600 minutes per day and finishing to 800 minutes. If there is \$3 profit on the oval box and \$4 on the square box, how many of each should be produced to maximize profit.

\noindent 1) What is the corresponding initial simplex tableau?\\[1cm]
\bd
\mb{a)} \left[ \ba{ccccc@{\:\vline\:}c} 30 & 20 & 1 & 0 & 0 & 600 \\ 40 & 20 & 0 & 1 & 0 & 800 \\ \hline 3 & 4 & 0 & 0 & 1 & 0 \\ \ea\right]  \quad
\mb{b)} \left[ \ba{ccccc@{\:\vline\:}c} 30 & 20 & 1 & 0 & 0 & 600 \\ 20 & 40 & 0 & 1 & 0 & 800 \\ \hline -3 & -4 & 0 & 0 & 1 & 0 \\ \ea\right]  \quad
\mb{c)} \left[ \ba{ccccc@{\:\vline\:}c} 30 & 20 & 1 & 0 & 0 & 800 \\ 20 & 40 & 0 & 1 & 0 & 600 \\ \hline -3 & -4 & 0 & 0 & 1 & 0 \\ \ea\right]
\ed
\bd
\mb{d)} \left[ \ba{ccccc@{\:\vline\:}c} 30 & 20 & 1 & 0 & 0 & 800 \\ 20 & 40 & 0 & 1 & 0 & 600 \\ \hline 3 & -4 & 0 & 0 & 1 & 0 \\ \ea\right]  \quad
\mb{e)} \left[ \ba{ccccc@{\:\vline\:}c} 30 & 20 & 1 & 0 & 0 & 600 \\ 40 & 20 & 0 & 1 & 0 & 800 \\ \hline 3 & 4 & 0 & 0 & 1 & 0 \\ \ea\right]
\ed
\hspace*{3mm}\hfill (5pts)\\[2mm]
2) Compute the solution using the {\bf simplex method}. \hfill (5pts)

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