Answer to Question #20345 in Calculus for Sara
x+y+z = 81
y = 2x
F(x,y,z) = x·y·z --> max
We can rewrite function F(x,y,z) in the next form:
F(x) = x · 2x · (81 - x - 2x) = 2x²(81-3x).
F(x) grows indefinitely while x indefinitely decreases. So, the set of numbers that their product is as large as possible is (-∞, -∞, +∞).
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