The total cost C(x) associated with the production of x units of an item is given by C(x) = 0.005x3 - 0.02 x2 + 30 x +5000. Find the marginal cost when 3 units are produced, whereby marginal cost we mean the instantaneous rate of total cost at any level of output.
Given,
C(x) = 0.05x3 - 0.02 x2 + 30 x +5000
Marginal cost (CM),