Final answer:
The head ticket manager should use the Design Capacity (option a) to calculate the arena's utilization.
Step-by-step explanation:
The head ticket manager of the O'Connell Center should use the Design Capacity to calculate the arena's utilization on the night of the home basketball game against Stetson.
The Design Capacity refers to the maximum number of people that a venue can hold under ideal conditions. It is the theoretical maximum capacity of the arena, assuming every available space is utilized. In this case, the renovated O'Connell Center has a Design Capacity of 10,133 people.
To calculate the utilization of the arena on the night of the game, the ticket manager would divide the actual attendance (4,587) by the Design Capacity (10,133) and multiply by 100 to get the percentage. So, the utilization of the O'Connell Center that night was approximately 45.17%.