Find max and/or min values of function f given the contraints:
f(x,y,z) = x^2 +y^2 +z^2
x + y + z = 1
x + 2y + 3z = 6
I know how to use legrange generally. When I solve using both constraints, I get values for x,y,z that when plugged into the function f gives 25/3.
The answer in the book gives: "No Maximum, minimum: 25/3"
My question is how do I know the value i got (25/3) is the minimum and how do I know there is no maximum for the function?