Problem: Determine the number of Housekeepers and supervisors needed to cover a hotel at 60% occupancy for the week knowing that every room needs 20 minutes to be ready, and the Housekeeper's shift is of 9 hours with a 40 minutes break, 45 minutes for trolley preparation and 30 minutes to close the shift. Agents weekly schedule, as per the country's Labor Law, has been set at 5 days per week. The hotel's capacity is 400 rooms and every supervisor has been allocated 25 rooms to oversee. Determine how many Agents and supervisors should be set for the day shifts. Please note that all room types in this hotel are considered to be 1 credit.