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.

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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