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.

Explanation

To find the marginal cost when 3 units are produced, we need to follow these steps:

### Step 1: Write down the total cost function
The total cost function is given by:
\[ C(x) = 0.005x^3 - 0.02x^2 + 30x + 5000 \]

### Step 2: Differentiate the total cost function
To find the marginal cost, we need to differentiate the total cost function \( C(x) \) with respect to \( x \):
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