Asked by David
It costs a bus company 225$ to run a bus on a ski trip, plus 30$ per passenger. The bus has a seating capacity of 22 passengers. The company charges 60$ per fare if the bus is full. For each empty seat, the company has to increase the ticket price by 60$. Explain how to determine maximum profit.
Answers
Answered by
oobleck
wait. you say that if there are 22 passengers, each ticket costs $60
but if there is one empty seat, each ticket costs $120?
and if there are 2 empty seats, each ticket costs $180?
I don't think so!
But assuming that's so, let's go on, and you can fix it as needed.
Total cost for x riders: 225+30x
total revenue: 60(23-x)*x
profit: 60x(23-x)-(30x+225) = -60x^2 + 1350x - 225
the maximum profit is at the vertex, which I'm sure you can find...
but if there is one empty seat, each ticket costs $120?
and if there are 2 empty seats, each ticket costs $180?
I don't think so!
But assuming that's so, let's go on, and you can fix it as needed.
Total cost for x riders: 225+30x
total revenue: 60(23-x)*x
profit: 60x(23-x)-(30x+225) = -60x^2 + 1350x - 225
the maximum profit is at the vertex, which I'm sure you can find...
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.