# easy stuff!

• January 30th 2007, 09:52 PM
Nick744
easy stuff!
Hello!

This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums. :p

I have a question to begin.

A travel agency calculates the expense E of organising a holiday per person in a group of x people as E = 200 + 400x. The cost C for each person taking a holiday is C = 900 - 100x. Show that the profit to the travel agency on a holiday with a group of x people is given by P = 700x - 500x^2.

I am hitting my head writing this, it seems real easy but for some strange reason I can't get it out.

Also, could someone please point me to some documentation of that fancy maths coding thats around, it is annoying having to type x^2, etc.

Anyway, thanks very much in advance.

Kind regards,
Nick
• January 31st 2007, 12:29 AM
earboth
Quote:

Originally Posted by Nick744
Hello!

This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums. :p

I have a question to begin.

A travel agency calculates the expense E of organising a holiday per person in a group of x people as E = 200 + 400x. The cost C for each person taking a holiday is C = 900 - 100x. Show that the profit to the travel agency on a holiday with a group of x people is given by P = 700x - 500x^2.

I am hitting my head writing this, it seems real easy but for some strange reason I can't get it out.

Also, could someone please point me to some documentation of that fancy maths coding thats around, it is annoying having to type x^2, etc.

Anyway, thanks very much in advance.

Kind regards,
Nick

Hello, Nick,

the complete group consists of x persons. Thus the expenses for the whole group is E(group)=(200+400x)x=200x + 400x^2

Do the same for the costs:

C(group)= (900 - 100x)x = 900x - 100x^2

The profit is the difference between expenses and costs:

P(group) = C(group) - E(group) = 900x - 100x^2 - (200x + 400x^2)= 700x - 500x^2

As for the mathematical writing look at the Latex-tutorial.

EB
• January 31st 2007, 11:32 AM
Nick744
Thanks very much earboth!
• January 31st 2007, 01:47 PM
CaptainBlack
Quote:

Originally Posted by Nick744
Hello!

This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums. :p

I have a question to begin.

A travel agency calculates the expense E of organising a holiday per person in a group of x people as E = 200 + 400x. The cost C for each person taking a holiday is C = 900 - 100x. Show that the profit to the travel agency on a holiday with a group of x people is given by P = 700x - 500x^2.

Total expense of organising the holiday is $xE=200x+400x^2$.

Total revenue is $xC=900x-100x^2$

Profit is revenue minus cost, so:

$P=(900x-100x^2)-(200x+400x^2)=700x-500x^2$

Quote:

Also, could someone please point me to some documentation of that fancy maths coding thats around, it is annoying having to type x^2, etc.