A factory owner purchases two types of machines A and B for his fac...

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A factory owner purchases two types of machines A and B for his factory. The requirements and limitations for the machines are as follows :
\begin{tabular}{|l|c|c|c|}
\hline & \( \begin{array}{c}\text { Area oc- } \\
\text { cupied by } \\
\text { the machine }\end{array} \) & \( \begin{array}{c}\text { Labour force } \\
\text { for each } \\
\text { machine }\end{array} \) & \( \begin{array}{c}\text { Daily output } \\
\text { in units }\end{array} \) \\
\hline Machine A & 1000 sq. m. & 12 men & 60 \\
Machine B & 1200 sq. m. & 8 men & 40 \\
\hline
\end{tabular}
He has an area of 9,000 sq. m. available and 72 skilled men who can operate the machines. How many machines of each type should he buy to maximize the daily output?
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