Trapped Between Two Constraints

Problem

Positive reals $a, b$ satisfy

2a + 2b \le 15 \qquad\text{and}\qquad \frac{4}{a} + \frac{3}{b} \le 2.

Find the range of $3a + 4b$ .

Answer

Solution

Difficulty	6/10
Topics	Cauchy-Schwarz, inequality

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