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
How would you solve x=6(3x^2)^2 to find the critical points?
What would I have to do after?