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There are two venues in town that you could consider using: the Civic Hall and the Assembly Rooms. Your company has prepared a formula to calculate the maximum capacity of mixed area venues.

For gigs, people expect to stand on the dance floor area and in the bar areas. As a rule of thumb, they allow 3 people per metre squared on the dance floor, 2 people per metre squared in the bar area, plus 1 for each seat in the seating area.

This gives a formula of: C = 2b + 3d + s, where C is the total capacity, b is the bar area, d the dance floor area and s the number of seats.

This is the information for the two venues:

I'll work out the total capacity for the Civic Hall:
We know that C = 2b + 3d + s.
In this case b = 24, d = 38 and s = 320
So, C = (2 X 24) + (3 X 38) + 320 = 48 + 114 + 320 = 482
The Civic Hall will take 482 people.

Now, you should work out the capacity of the Assembly Rooms:

Another company formula is used to work out the capacity of a venue if you know how many support staff you have available (bouncers, bar staff, ticket sales, etc.). It basically says to take 4 from the number of staff available (the requirement if no-one came!) then multiply by 50 people per additional staff member.

C = 50(S - 4), where C is the capacity of the hall and S is the number of staff available.
That is 50 times staff members minus 4.
We can use this formula the other way round, to work out how many staff members we will need, if we already know the capacity.

This is how it works for the Civic Hall (which has a capacity of 482):
C = 50(S - 4)
482 = 50(S - 4)
482 ÷ 50 = S - 4
482 ÷ 50 + 4 = S
S = 13.64
So, we'll need 14 members of staff for the Civic Hall.

Now you work out how many will be needed for the Assembly Rooms. Remember to round up to the next whole figure, given that we're talking about people.

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