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MathNet 2001 — Part 02 Question 4

Math Olympiad Vault · MathNet 2001 — Part 02

Question 4

The positive real numbers $a$, $b$, $c$ satisfy the condition:
$$
21ab + 2bc + 8ca \le 12.
$$
Find the least value of the expression:
$$
P(a, b, c) = \frac{1}{a} + \frac{2}{b} + \frac{3}{c}.
$$