Optimization using differentiation

[A_Munk3y]

Homework Statement

http://i53.tinypic.com/1zu5ty.jpg

The Attempt at a Solution

well so far, all i got is 3x + y = 3000; also y = 1000/x ==>> 3x+ (1000/x) = 3000

i don't know what the area should be though...
would it be A=x²y

If i am right in that, would i do this after

i should get the domain
get derivative
plug in x to original equation to get abs max. Also plug in x to the equation of "y" to get the #?

 

[vishal007win]

why y=1000/x ??
Area=xy ---> this needs to be differentiated, which would yield the value to x or y

 

[A_Munk3y]

so the area would be xy??

 

[vishal007win]

yes...it should be