What is the slope of his production possibilities frontier?

\frac{3}{2}

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\frac{3}{2}

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\frac{2}{3}

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\frac{2}{3}

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Solution

The correct option is B - $\frac{3}{2}$
$\frac{b}{2} + \frac{w}{3} = 12$
$⟹ - \frac{b}{2} + 12 = \frac{w}{3}$
$⟹ w = - \frac{3 b}{2} + 36$
This equation can be compared with equation $m x + c$ , where $m$ is the slope.
$⟹$ slope= $- 3 / 2$

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