Question 5

a, b, c are positive reals satisfying $$\frac{2}{5} \leq c \leq \min(a, b)$$, $$ac \geq \frac{4}{15}$$ and $$bc \geq \frac{1}{5}$$. Find the maximum value of $$\frac{1}{a} + \frac{2}{b} + \frac{3}{c}$$.


Correct Answer: 13

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