You own a factory
that is making a length of wire out of two metals: copper and iron. You have access to mines
containing both iron and copper. The amount A you are able to produce is determined by the
equation: A=1000(xy)^(1/2). where x is the number of tonnes of copper mined and y is the number of tonnes of iron mined.
However, you only have a limited number of mining resources. The amount of copper and iron
you can mine is determined by the following relationship: x^2+4xy+15y^2=144. Find the derivative of A(x) as a function of x and y.

Question

You own a factory
that is making a length of wire out of two metals: copper and iron. You have access to mines
containing both iron and copper. The amount A you are able to produce is determined by the
equation: A=1000(xy)^(1/2). where x is the number of tonnes of copper mined and y is the number of tonnes of iron mined.
However, you only have a limited number of mining resources. The amount of copper and iron
you can mine is determined by the following relationship: x^2+4xy+15y^2=144. Find the derivative of A(x) as a function of x and y.

anonymous · Answer

Find the derivative of A(x) as a function of x and y. . .

anonymous · Answer

Do we mean find the derivative of A(x , y)?

anonymous · Answer

The question says $$ \frac{dA  }{ dx }$$ as a function of x and y.