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The total cost $C(x)$ in rupees associated with the production of $x$ units of an item is given by $C(x)=0.007 x^3-0.003 x^2+15 x+4000$
Find the marginal cost when 17 units are produced.
Find the marginal cost when 17 units are produced.
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Marginal cost $M C=$ Instantaneous rate of change of total cost at any level of out put $=\frac{\mathrm{dC}}{\mathrm{dx}}$
Now, $C(x)=0.007 x^3-0.003 x^2+15 x+4000$
$\therefore \quad \mathrm{MC}=\frac{\mathrm{dc}}{\mathrm{dx}}=0.021 \mathrm{x}^2-0.006 \mathrm{x}+15$
When $x=17 ; \frac{d C}{d x}=6.069-0.102+15=20.967$
$\therefore$ Marginal cost $=₹ 20.97$.
Now, $C(x)=0.007 x^3-0.003 x^2+15 x+4000$
$\therefore \quad \mathrm{MC}=\frac{\mathrm{dc}}{\mathrm{dx}}=0.021 \mathrm{x}^2-0.006 \mathrm{x}+15$
When $x=17 ; \frac{d C}{d x}=6.069-0.102+15=20.967$
$\therefore$ Marginal cost $=₹ 20.97$.
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