The total cost C(x) in Rupees, associated with the production of x units of an item is given by `C(x)=0. 005 x^3-0. 02 x^2+30 x+5000` . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of cha

Explanation

respect to its radius when the radius is 7 cm.



Given that Total coast, `C(x)=0.005 x^{3}-0.02 x^{2}+30 x+5000`

We know that marginal cost is the rate of change of total cost with respect to output.

Marginal cost `=frac{d C}{d x}=0.005(3 x^{2})-0.02(2 x)+30`

At `x=3 `units

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