Solved: Magic triples Let x, y, and z be nonnegative
Chapter 12, Problem 67(choose chapter or problem)
Magic triples Let x, y, and z be nonnegative numbers with x + y + z = 200. a. Find the values of x, y, and z that minimize x2 + y2 + z2. b. Find the values of x, y, and z that minimize 2x2 + y2 + z2. c. Find the values of x, y, and z that maximize xyz. d. Find the values of x, y, and z that maximize x2y2z2.
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