Originally Posted by

**Pandora** I have to find all the critical points and their nature from the following scenario:

There are 2 types of bread- plain and gluten free. Weekly production is represented by x hundred plain loaves and y hundred gluten free. Plain sells for 90 cents each and gluten free for $5.20 each. Weekly production costs are given by:

10x^3 + 20y^3 -10xy

I have started by putting x and y as functions:

fx= 30x^2 - 10y

fy= 60y^2 - 10x

Making them equal zero gave me

x= 6y^2

y= 3x^2

How would you solve x=6(3x^2)^2 to find the critical points?

What would I have to do after?

Thanks