5. Pens Galore is continually innovating to create new types of pens. To protect their new designs Pens Galore must maintain tight security 24 hours a day and 7 days a week. Fulltime security personnel work 8-hour shifts that start every four hours throughout the day. The number of security personnel needed at different times throughout the day varies. The following table summarizes the minimum number of security personnel needed in each 4-hour period. Time periods 12am- 4am- 4am 8am Min. # of security staff | 18 8am-12pm- 4pm- 8pm- 12pm 4pm | 8pm | 12 am 14 The wage is $20 per hour from 12 am to 8 am, and $15 per hour from 8 am to 12 am. The Director of Security wants to determine the number of security staff to schedule to meet the minimum security requirements with the minimum cost. Formulate the linear programming model. Do not solve. 14 points