Question 881830
the cost of the bus is 600.
the cost per student is 30.
what is collected from each student is 50.
let x = number of students.
revenue collected from each student is equal to 50x.
cost of the trip is equal to 600 + 30x.
to break even the cost must be equal to the revenue.
you get:
50x = 600 + 30x
subtract 30x from both sides of this equation to get:
20x = 600
divide both sides of this equation by 20 to get:
x = 30
the breakeven point is 30 students.
more than that and a profit is made.
less than that and a loss is incurred.
you can see that from the following table:
<pre>
number of students    revenue              cost               net
       20             20*50=1000          600+20*30=1200      loss of 200
       30             30*50=1500          600+30*30=1500      break even
       40             40*50=2000          600+40*30=1800      profit of 200
</pre>