Let total revenue received from the sale of $x$ units of a product is given by $R (x) = 12 x + 2 x^{2} + 6.$
Then the slope of marginal revenue is

[2 marks]

2

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6

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4

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12

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Solution

The correct option is C $4$
Given : $R (x) = 12 x + 2 x^{2} + 6$
Marginal revenue, $M R = \frac{d (R (x))}{d x}$
$\Rightarrow M R = \frac{d}{d x} (12 x + 2 x^{2} + 6)$
$\Rightarrow M R = 12 + 4 x$
Now, slope of marginal revenue
$= \frac{d (M R)}{d x} = \frac{d}{d x} (12 + 4 x)$
$∴$ Slope of marginal revenue $= 4$

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