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 x3 – 0.003x2 + 15x + 4000. Find the marginal cost when 17 units are produced.

Answer :

Given: Total Cost, C (x) = 0.007 x3 – 0.003x2 + 15x + 4000


Where x = Number of units


Marginal Cost is given by,


Marginal Cost M(x) =


Therefore, M(x) = 0.007 × 3 x2 – 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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