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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