Problem 1 (20 Points; Adapted from Hillier & Lieberman, 2005). Larry Edison is the director of the Computer Center for Buckly College. He now needs to schedule the staffing of the center. It is open from 8 a.m. until midnight. Larry has monitored the usage of the center at various times of the day, and determined that the following number of computer consultants are required: Num. Consultants Required Time of Day 8 a.m.-10 a.m. 10 a.m.-noon noon-2 p.m. 2 p.m.-4 p.m. 4 p.m.-6 p.m. 6 p.m.-8 p.m. 8 p.m.-10 p.m. 10 p.m.-midnight Two types of computer consultants can be hired: full-time and part-time. The full-time consultants work for 8 consecutive hours beginning at 8 a.m., 10 a.m., noon, 2 p.m., or 4 p.m. Full-time consultants are paid $15 per hour. Part-time consultants work for 6 consecutive hours beginning at 8 a.m., 10 a.m., noon, 2 p.m., 4 p.m., or 6 p.m. Part-time consultants are paid $12 per hour. An additional requirement is that during every time period, there must be at least 2 full-time consultants on duty for every part-time consultant on duty. (10 Points) Part a: Formulate an LP that can be used to minimize the cost of staffing the computer center