A hospital has four types of operating rooms, I, II, III, and IV, serving six departments, A, B, C, D, E, and F. Table I below summarizes the daily available hours of the different types of operating rooms. Table 2 below summarizes the number of available operating rooms on different days. Table 3 below summarizes the weekly demand for operating room hours. The limit on unmet demand is the most hours a department can be denied relative to its weekly demand. The goal of the hospital is to meet the weekly demand of all departments. Please formulate a goal programming model to determine the daily schedule for the utilization of operating rooms. Table 1. Operating Room Hours. Weekday Monday Type I 08:00-15:30 Type II 08:00-17:00 Tuesday 08:00 15:30 08:00-17:00 Wednesday 08:00-15:30 08:00-17:00 Thursday 08:00 15:30 08:00 17:00 Friday 09:00-15:30 09:00 17:00 08:00 15:30 08:00 15:30 09:00-15:30 Available Hours Type III 08:00 15:30 08:00-15:30 Type IV 08:00-16:00 08:00 16:00 08:00-16:00 08:00-16:00 09:00 16:00 Table 2. Operating Room Availability. Number of Available Rooms Weekday Type I Type II Monday 4 4 Type III 1 Type IV 1 Tuesday 4 3 1 1 Wednesday 4 4 1 1 Thursday 3 4 1 1 Friday 4 4 1 2 Table 3. Weekly Demand for Operating Rooms. Department Weekly Demand (hours) Limit of Unmet Demand (hours) A 190 10 B 120 10 C 40 10 D 20 10 E 30 10 F 5 3