Question 1138576: If a boat charter is $1800.00 with room for 100 people and the tickets are 30.00 each and there is a variable food and drink expense of 15.00 per person. How many tickets must be sold to break even?
I got: 1800 + 1500 = 3300 so 100 people x $30.00 only get you $3000.00
They need to sell 110 tickets to break even and there is only 100 spots? Is 110 tickets right?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! C=1800+15x is the fixed and variable cost, where x is the number of people
30x is the revenue
30x=1800+15x is breakeven equation
15x=1800
x=120. One won't break even with fewer than 120 people
Remember, as one sells a ticket, the gain is only $15, since another $15 is food/drink.
It is true that with 110 tickets, one will have $3300, but the costs are $1800 + (110*$15), because there are 110 people with food and drink expenses, so that is added to the cost and it is $1650 for a total cost of $3450. The revenue is 110*$30 or $3300.
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