Question: please solve it STEP BY STEP Three professors must be assigned to teach five sections of OR. Professor 1 and 2 must teach two sections,

please solve it STEP BY STEP Three professors please solve it STEP BY STEP

Three professors must be assigned to teach five sections of OR. Professor 1 and 2 must teach two sections, and Professor 3 must teach one section. Each professor has ranked the five time periods during which OR is taught, as shown in following table. A ranking of 10 means that the professor wants to teach that time, and a ranking of 1 means that he or she does not want to teach at that time. Determine an assignment of professors to sections that will maximize the total satisfaction of the professors. Professor 10 A.M. 11 A.M. 2 P.M. 6 9 8 2 7 6 3 3 5 8 4 3 P.M. 5 8 6 4 P.M. 4 9 3

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