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 average revenue is

[2 marks]

12 + 2 x

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12 + 2 x + \frac{6}{x}

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12 x + 2 x^{2}

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2 x^{2} + \frac{6}{x}

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Solution

The correct option is B $12 + 2 x + \frac{6}{x}$
Given : $R (x) = 12 x + 2 x^{2} + 6$
Average revenue, $A R = \frac{R (x)}{x}$
$\Rightarrow A R = \frac{12 x + 2 x^{2} + 6}{x}$
$∴ A R = 12 + 2 x + \frac{6}{x}$

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