Your landscaping company has teams of workers. When a job involves mowing and pruning, half of the team mow and the other half prune.

For each worker of a team, you know how much profit they will make if they mow, and how much they make when they prune.

For instance, suppose there were four workers in a team and the profits for assigning each to mowing or pruning were:

\begin{array}{l|c|c|c|c}
\textbf{Worker}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4} \\
\hline\text{Mowing}&5&2&6&5 \\
\text{Pruning}&3&4&3&5 \\
\end{array}

The most profit made would be \($20\), by assigning the first and third workers to mowing and the other two to pruning.

For the following team:

\begin{array}{l|c|c|c|c}
\textbf{Worker}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}&\textbf{7}&\textbf{8} \\
\hline\text{Mowing}&3&2&4&4&3&6&3&1 \\
\text{Pruning}&4&2&3&2&5&3&4&2 \\
\end{array}

What is the most profit you could make if half of the team was assigned to mowing and the remainder to pruning?