12 replies to this topic

[Kido]

It costs a bus company $225 to run a minibus on a ski trip, plus #30 per passenger. The bus has seating for 22 passengers and the company charges $60 per fare if the bus is full. For each empty seat, the company has to increase the ticket price by $5. How many empty seats should the bus run with to maximize profit?

Answer is 8

I know profit = revenue - cost

I know the equation for cost is 225 + 30x where x is the number of people..... but what's the revenue? o.0

Full bus revenue would be 22 x 60 = 1320...

I know I should know this but it might just be getting late and my brain's not working -_-

Any help will get rep and just be awesome?

Edited by Kuro, 27 March 2011 - 06:26 PM.

[Mr. Hobo]

http://www.xkaw.com/....asp?id=1131012

[Kido]

what the hell? Sweet thanks. I searched up google and got to yahoo answers which gave me some confusing thing o.0

*edit: Damn. Out of reps for today -_- *will come back tomorrow*

*edit again. Still don't really get how you get to the equation (60+(5)(22-x))x though

Edited by Kuro, 27 March 2011 - 06:30 PM.

[Royce]

It costs a bus company $225 to run a minibus on a ski trip, plus #30 per passenger. The bus has seating for 22 passengers and the company charges $60 per fare if the bus is full. For each empty seat, the company has to increase the ticket price by $5. How many empty seats should the bus run with to maximize profit?

Answer is 8

I know profit = revenue - cost

I know the equation for cost is 225 + 30x where x is the number of people..... but what's the revenue? o.0

Full bus revenue would be 22 x 60 = 1320...

I know I should know this but it might just be getting late and my brain's not working -_-

Any help will get rep and just be awesome?

no longer need help?

[Kido]

well could you explain to me how you get to (60+(5)(22-x))x?

From what I'm thinking income = # of passengers x price. Which would get me (22-x)(60+5x) wouldn't it? o.0

Edited by Kuro, 27 March 2011 - 06:33 PM.

[jonahfinn]

well could you explain to me how you get to (60+(5)(22-x))x?

From what I'm thinking income = # of passengers x price. Which would get me (22-x)(60+5x) wouldn't it? o.0

It was explained on the site Mr. Hobo gave you

"Now, go to the revenue side:
full bus revenue is R=(60)(22)=1320
variable function for revenue is R=variable ticket price * number of passengers
variable ticket price is (60+(5)(22-x))x, this becomes a quadratic equation as you expand
(60+110-5x)x"

[Tarabyte]

This is what I used for the revenue:

14(5(8) + 60) = 2,200

But, I'm awful at math. Don't listen to me.

Edited by TaraTantrum, 27 March 2011 - 06:37 PM.

[Formaldehyde]

well could you explain to me how you get to (60+(5)(22-x))x?

From what I'm thinking income = # of passengers x price. Which would get me (22-x)(60+5x) wouldn't it? o.0

The x in your equation is "number of empty seats"

The x from the solution online is "number of passengers", so that's why your equations are different.


Basically what I'm saying is your equation and the equation from the solution are both correct.

Edited by Formaldehyde, 27 March 2011 - 06:43 PM.

[luvsmyncis]

"The federal government says more overweight Americans are squeezing onto buses, and it may have to rewrite bus safety rules because of it."
http://www.usatoday....ight21_ST_N.htm

Now fit THAT into your equation.

[Kido]

The x in your equation is "number of empty seats"

The x from the solution online is "number of passengers", so that's why your equations are different.

oohhhh. OK. I got it now. Thanks

@punk. well that's ok then. The buses I'm thinking of just won't be American so all is safe and happy in my world

Edited by Kuro, 27 March 2011 - 06:45 PM.

[Royce]

The x in your equation is "number of empty seats"

The x from the solution online is "number of passengers", so that's why your equations are different.

keep i mind, empty seats= (total seats) - (passengers)

[Kido]

Alright. Got the answer thanks to formaldehyde's tip. Thanks to everyone though I'll give rep tomorrow when they renew

Edited by Kuro, 27 March 2011 - 06:50 PM.

[Formaldehyde]

Alright. Got the answer thanks to formaldehyde's tip. Thanks to everyone though I'll give rep tomorrow when they renew

Glad I could help