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The total cost C (x) in Rupees associate...

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

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Marginal cost is the rate of change of total cost with respect to output.
Marginal cost (MC)=`(dC)/dx=0.007(3x^2)-0.003(2x)+15=0.021x^2-0.006x+15`
Now When `x=17`,
MC=`20.967`
Hence, when 17 units are produced, the marginal cost is `Rs. 20.967`.
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