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If the average cost function of producing and marketing x units of an item is $AC=2 x-11+\frac{50}{x}$, then the marginal cost function is: |
$2 x^2-11 x+50$ $2-\frac{50}{x^2}$ $4 x-11$ $4 x+39$ |
$4 x-11$ |
The correct answer is Option (3) → $4 x-11$ $AC = 2x - 11 + \frac{50}{x}$ $C(x) = x \cdot AC = x\left(2x - 11 + \frac{50}{x}\right)$ $= 2x^2 - 11x + 50$ $\text{Marginal cost} = C'(x) = 4x - 11$ $\text{Marginal cost} = 4x - 11$ |
