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At a certain factory, the marginal cost is 3(q - 4)2 dollars when the level of...

At a certain factory, the marginal cost is 3(q - 4)2 dollars when the level of production is q units. By how much will the total manufacturing cost increase if the level of production is rised from 6 units to 10 units?

Math   Calculus   
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Answer #1

Let C(q) denotes the total cost of producing q units hence marginal cost is nothing but the derivative of total cost given by,

Hence we can say that increase in total manufacturing cost  if the level of production is raised from 6 units to 10 units is given by

Hence we can say that increase in total manufacturing cost if the level of production is raised from 6 units to 10 units is $208

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