suppose i have a function f(x,y,z) and i am looking for the minimum value of the function under some restrictions,
using Lagrange multipliers, and i ended up with only 1 suspected point, how can i know if the point is the minimum or maximum?
example:
f(x,y,z)=600xy+900xz+900yz
restriction: g(x,y,z)=xyz-486
i found that the suspected point is M(9,9,6)
using Lagrange multipliers, and i ended up with only 1 suspected point, how can i know if the point is the minimum or maximum?
example:
f(x,y,z)=600xy+900xz+900yz
restriction: g(x,y,z)=xyz-486
i found that the suspected point is M(9,9,6)