let the number of people be n
Venue1 = 17.99n + 400
Venue2 = 90.45 + 14.99n
venue3 = 500 + 12.5(n-25) , n ≥ 25
e.g. , suppose all 80 show up
venue1 = appr 1840
venue2 = appr 1290.45 ***
venue3 = 11845 , clearly way too much
at 25 guests
venue1 = 850
venue2 = 465.45 ***
venue3 = 500
at 20 guests
venue1 = 760
venue2 = 390.45 ***
venue3 = 500
clearly venue3 is the most expensive
are venue1 and venue2 ever the same?
17.99n + 400 = 90.45 + 14.99n
or more realistically
18n + 400 = 90.45 + 15n
3n = a negative
NO, venue 2 is always cheaper.
OK, I analysed it, but it should have been obvious from the beginning that venue2 would be the choice.
The local Employment Council would like to hold a charity event to raise money for the area Food Bank. They want to spend as little money as possible to rent a room and provide light refreshments. Everyone in attendance will pay an admission fee that will cover costs and include a profit. Any profit made will be donated to the local food bank. In order to minimize costs, they have quotes from three venues for the cost of an event of up to 80 people.
Analyse the three quotes and answer the question below.
Where should the Employment Council have the event?
Venue 1
The Admiral Inn is offering a special rate of $17.99 per person and a minimum total charge of $400.00 to hold the event.
Venue 2
The Edward Country Club is offering a flat fee of $90.45 plus $14.99 per guest.
Venue 3
The Holiday Hotel is charging $500 for the first 25 guests and then $12.50 per guest after 25 guests are reached.
2 answers
I asked my brother and he did not help me. Anyway, thank you
1 answer