The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x)=0.005x3−0.02x2+30x+5000Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

The total cost C(x) in Rupees, associated with the production of x uni

1.	The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x)=0.005x3−0.02x2+30x+5000Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.
Answer» 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 change of total cost at any level of output.