Calculus (differential) Optimization Problem?
Suppose x; y, and z are positive numbers that sum to 10. What is the largest possible value of xy + xz + yz?
(a) First, suppose that z is a fixed parameter. Then we have to find nonnegative numbers x and y (depending on the fixed value z such that x+y = 10-z), such that xy + xz + yz is maximized.
(b) To find the global maximum, plug in the values for x and y obtained in (a) in
order to rewrite xy + xz + yz as a function of a single variable. Then maximize
- mukavetzLv 64 years agoFavorite Answer