Question: Recall the nurse-scheduling problem (with full-time nurses only) introduced in class. We now know that this staffing plan cannot be achieved with fewer than 8

Recall the nurse-scheduling problem (with full-time nurses only) introduced in class. We now know that this staffing plan cannot be achieved with fewer than 8 nurses. However, nurses prefer to work tour 7 because the days off are Saturday and Sunday. Nurses also like tours 1 and 6 because one day off is a Saturday or Sunday, respectively. Reformulate the problem so that it uses exactly 8 nurses but the number of nurses assigned to tours 1, 6 and 7 is maximized while meeting minimum daily staffing needs. How did you reformulate the decision variables, objective function and constraints?

(Recall problem: Day: Sun, nurses: 3; Mon, nurses: 6; Tue, nurses: 5; Wed, nurses:6, Thur, nurses: 5; Fri, nurses: 5; Sat, nurses: 5.

Tour 1: Tue to Sat; Tour 2: Wed to Sun; Tour 3: Thur to Mon; Tour 4: Fri to Tue; Tour 5: Sat to Thur; Tour 6: Sun to Thur; Tour 7: Mon to Fri.)

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