Q. 154.3( 11 Votes )
The total cost C(x) in Rupees associated with the production of x units of an item is given by
C(x) = 0.007x3 – 0.003x2 + 15x + 4000.
Find the marginal cost when 17 units are produced.
Answer :
Marginal cost (MC) is the rate of change of total cost with respect to output.
Then, 
= 0.021x2 – 0.006x +15
So, when x = 17 then,
MC = 0.021(172) – 0.006(17) +15
= 0.021(289) – 0.102 + 15
= 20.967
Therefore, the marginal cost when 17 units are produced is Rs. 20.967.
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