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

`C(x) = 0.007x^(3) - 0.003x^(2)+ 15x+ 4000`
Marginal cost ` = (dC)/(dx) = 0.021x^(2) - 0.006x+15`
at x = 17, the marginal cost
` = 0.021 (17)^(2) - 0.006(17) + 15`
` = 6.069- 0.102 +15`
` = Rs. 20.967`