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Mathematics
Problem
The total cost (in dollars) of producing
q
q
q
units of an item is
C
(
q
)
=
q
3
−
12
q
2
+
57
q
+
100
C(q)=q^{3}-12q^{2}+57q+100
C
(
q
)
=
q
3
−
12
q
2
+
57
q
+
100
. Determine the production level that minimizes the average cost per unit.
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