Uncle Dan’s Bar-B-Que has peak crowds at lunch (11:30–1:30) and at evening (5:30–7:00). He schedules his employees in three shifts, 7:00–2:00, 11:00–7:30, and 5:00–10:00, in order to have an overlap of shifts at peak times. He needs 12 employees for the lunch peak and 8 for the evening peak. The early morning is busier than late evening, so he wants the morning schedule (7:00–2:00) to have 5 more employees than the evening schedule (5:00–10:00). Help Uncle Dan write the equations that represent these conditions and determine what you should recommend for the number in each shift.
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