22. A college department chairman has the problem of providing teachers for all courses offered by his department at the highest possible level of educational quality. He has got three professors, and one teaching assistant (TA). Four courses must be offered and after appropriate introspection and evaluation he has arrived at the following relative ratings (100 = best rating) regarding the ability of each instructor to teach each of the four courses, respectively.

How should he assign his staff to the courses to maximise educational quality in his department?

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Course Course 2 Course 3 Course 4 Prof 1 70 50 70 80 Prof 2 30 70 60 80 Prof 3 30 40 50 70 TA 40 20 40 50