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

Explanation

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`.