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
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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