Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A manufacturer’s total cost (in dollars) for producing
q
q
q
units is modeled by
C
(
q
)
=
0.005
q
3
−
0.3
q
2
+
10
q
+
200
,
0
≤
q
≤
100.
C(q)=0.005q^{3}-0.3q^{2}+10q+200, \quad 0\le q\le100.
C
(
q
)
=
0.005
q
3
−
0.3
q
2
+
10
q
+
200
,
0
≤
q
≤
100.
For which production level
q
q
q
does the average cost
C
(
q
)
q
\dfrac{C(q)}{q}
q
C
(
q
)
attain its absolute minimum on this interval? a)
q
=
30
q=30
q
=
30
b)
q
=
100
q=100
q
=
100
c)
q
≈
42
q\approx42
q
≈
42
d)
q
=
50
q=50
q
=
50
Browse the problem library