Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A manufacturer’s average cost per item, in dollars, is modeled by
C
(
q
)
=
0.02
q
2
+
30
q
+
5000
q
C(q)=\dfrac{0.02q^{2}+30q+5000}{q}
C
(
q
)
=
q
0.02
q
2
+
30
q
+
5000
for a production level of
q
q
q
items (
q
>
0
q>0
q
>
0
). Determine the production level
q
q
q
that minimizes the average cost.
Browse the problem library