Optimization using differentiation

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Homework Help Overview

The discussion revolves around an optimization problem involving differentiation, where participants are attempting to determine the area related to a given constraint equation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring the relationship between variables x and y, questioning the definition of y in terms of x. There is also discussion about the formulation of the area and its differentiation.

Discussion Status

The conversation is ongoing, with participants sharing their interpretations of the area formula and the relationships between the variables. Some guidance has been offered regarding the differentiation of the area, but no consensus has been reached on the correct approach or definitions.

Contextual Notes

There is uncertainty regarding the correct formulation of the area and the implications of the constraint equation. Participants are also questioning the assumptions made about the relationships between the variables.

A_Munk3y
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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 #?
 
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why y=1000/x ??
Area=xy ---> this needs to be differentiated, which would yield the value to x or y
 
so the area would be xy??
 
yes...it should be
 

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