please do the mathmathical formulation

For the 8-hour day shift in a hospital emergency room, the number of nurses needed, by day, is as follows: All day-shift nurses work five 8-hour shifts per week and are entitled to two consecutive days off per week. Management would like to know a) the minimum number of nurses needed to provide the above capacity each day. (b) What will be the actual capacity by day? (c) What days will each nurse work