# Science:Math Exam Resources/Courses/MATH104/December 2010/Question 04

MATH104 December 2010
Other MATH104 Exams

### Question 04

It costs a small firm C(q) dollars to produce q kilograms of a certain chemical, where

$\displaystyle {}C(q)=3q^{4/3}+50q+10000$ The average cost of production per kilogram is defined to be

$\displaystyle {}{\frac {C(q)}{q}}.$ Use calculus to find how many kilograms the firm should produce in order to minimize the average cost of production per kilogram. Please simplify. You need not justify that your calculation actually minimizes average cost.

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