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
| Worker | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Mowing | 5 | 2 | 6 | 5 |
| Pruning | 3 | 4 | 3 | 5 |
Then the most profit ($20) would be made by assigning the first and third workers to mowing and the other two to pruning.
Question:
For the following team, what is the most profit you could make if half of the team was assigned to mowing and the remainder to pruning?
| Worker | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Mowing | 3 | 2 | 4 | 4 | 3 | 6 | 3 | 1 |
| Pruning | 4 | 2 | 3 | 2 | 5 | 3 | 4 | 2 |