Forbit Hospital nurses either work 9-hour shifts or 8-hour shifts. Nurses with a 9-hour shift start work at 12 AM, 4 AM, or 8 AM with an hour break at 4 AM, 8 AM, or 12 PM, respectively. Nurses working 8-hour shifts start at either 12 PM or 4 PM and take an hour break at 4 PM or 7 PM, respectively. Forbit Hospital nurses earn $35 an hour. Breaks are unpaid. Nurses are paid an extra $7 per hour for hours worked between 10 PM to 6 AM. For example, a nurse working from 12 AM to 9 AM receives $35 (5 hours x $7) in premium pay. Forbit Hospital must schedule the number of nurses required for each 1-hour-block as shown below. Develop a simplex LP Solver model to determine how the hospital can minimize daily labor costs.

Required 10 10 10 10 10 20 20 20 20 20 Hour Starting At: 12:00 AM 1:00 AM 2:00 AM 3:00 AM 4:00 AM 5:00 AM 6:00 AM 7:00 AM 8:00 AM 9:00 AM 10:00 AM 11:00 AM 12:00 PM 1:00 PM 2:00 PM 3:00 PM 4:00 PM 5:00 PM 6:00 PM 7:00 PM 8:00 PM 9:00 PM 10:00 PM 11:00 PM 20 20 20 20 20 20 20 20 20 15 15 15 15 15 Required 10 10 10 10 10 20 20 20 20 20 Hour Starting At: 12:00 AM 1:00 AM 2:00 AM 3:00 AM 4:00 AM 5:00 AM 6:00 AM 7:00 AM 8:00 AM 9:00 AM 10:00 AM 11:00 AM 12:00 PM 1:00 PM 2:00 PM 3:00 PM 4:00 PM 5:00 PM 6:00 PM 7:00 PM 8:00 PM 9:00 PM 10:00 PM 11:00 PM 20 20 20 20 20 20 20 20 20 15 15 15 15 15