Question

The Fire Marshall comes in and tells the venue that they must use the ratio 1 person occupies 3.25 square feet, but they can add 12 more people per exit (the venue has 5 exits). How many tickets can the venue sell now? Why would the Fire Marshall require the venue to use their ratio?

Answer 1

The venue can determine the number of tickets to sell by dividing its total area by the required 3.25 square feet per person and adding 12 people for each of the 5 exits. This ensures the safety and ease of emergency evacuation.

Step-by-step explanation:

To calculate how many tickets the venue can sell based on the Fire Marshall’s safety requirements, we first need to know the total area of the venue. Once we have the total area, we can divide it by the space required per person as stated by the Fire Marshall, which is 3.25 square feet per person. The total number of tickets that can be sold is this number plus an additional 12 people for each exit. Since the venue has 5 exits, we can add 60 more people to our initial calculation (12 people per exit times 5 exits).

For example, if the venue is 10,000 square feet, the calculation would be as follows:

1. Divide the total area by the space required per person: 10,000 sq. ft. / 3.25 sq. ft. per person = 3077 people (rounded down to the nearest whole person).
2. Add the additional people for the exits: 3077 people + (12 people × 5 exits) = 3077 + 60 = 3137 people.

Thus, the venue can sell tickets for up to 3137 people. The Fire Marshall's ratio is required to ensure the safety of everyone in the venue, considering the necessary personal space, crowd flow, and emergency evacuation routes.