Q. 84.5( 6 Votes )

# The total cost C (x) associated with the production of x units of an item is given by C (x) = 0.007 x^{3} – 0.003x^{2} + 15x + 4000. Find the marginal cost when 17 units are produced.

Answer :

**Given:** Total Cost, C (x) = 0.007 x^{3} – 0.003x^{2} + 15x + 4000

**Where x = Number of units**

Marginal Cost is given by,

Marginal Cost M(x) =

Therefore, M(x) = 0.007 × 3 x^{2} – 0.003 × 2 x + 15

At Number of units = 17, x = 17.

So, M(17) = 0.021 (17)^{2} – 0.006 (17) + 15

M(17) = 20.97

Hence, the Marginal Cost of 17 units is 20.97.

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