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Use Lagrange Multipliers to Find the Maximum Value of F

Question 58

Multiple Choice

Use Lagrange multipliers to find the maximum value of f (x, y, z) = 6xyz subject to 4x + 3y + 4z = 144.

A) f (0, 0, 0) = 0
B) f (15, 17, 10) = 15,300
C) f (12, 16, 12) = 13,824
D) f (13, 14, 12) = 13,104

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