The cost function of a firm $C (x) = 2 x^{2} - 4 x + 5$ . Find the average cost when $x = 2$ .

\frac{5}{2}

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\frac{1}{4}

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\frac{3}{4}

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\frac{5}{7}

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Solution

The correct option is D $\frac{5}{2}$
$\Rightarrow$ We have, $C (x) = 2 x^{2} - 4 x + 5.$

$\Rightarrow$ Average cost = $\frac{C (x)}{x}$

$\Rightarrow$ Average cost = $\frac{2 x^{2} - 4 x + 5}{x}$

$\Rightarrow$ Average cost = $2 x - 4 + \frac{5}{x}$

$\Rightarrow$ Now, substitute value of $x = 2$ .
$\Rightarrow$ Average cost = $2 (2) - 4 + \frac{5}{2} = \frac{5}{2}$

Suggest Corrections

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