Alice, Barbara, Curt, Danielle, Elmer and Fred work as car washers. Their suitability(as a score out of 10) for performing the tasks of hosing, scrubbing, window washing, vacuuming, polishing, waxing and are given in the following table
$$\begin{array}{c|c|c|c|c|c} \, & hosing &scrubbing &window-washing &vacuuming &polishing &waxing\\\hline Alice & 6 & 8 & 2 & 4 & 0 & 4\\ Barbara & 7 & 9 & 1 & 3 & 5 & 3\\ Curt & 0 & 0 & 6 & 5 & 4 & 2\\ Danielle & 0 & 2 & 4 & 5 & 6 & 4\\ Elmer & 7 & 5 & 5 & 6 & 6 & 6\\ Fred & 4 & 4 & 4 & 7 & 5 & 6 \end{array}$$
- Find a way of assigning the car-washers to the tasks so that the total suitability is maximized.
- Find an assignment of car-washers to tasks in which the minimum suitability over all six car-washers is as large as possible.