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Mathematics
Problem
Consider the cost function
C
(
x
)
=
5
x
+
100
x
C(x)=5x+\dfrac{100}{x}
C
(
x
)
=
5
x
+
x
100
defined for
1
≤
x
≤
20
1\le x\le 20
1
≤
x
≤
20
. For which value of
x
x
x
in this interval is the cost minimized? a)
20
20
20
b)
5
5
5
c)
20
\sqrt{20}
20
d)
1
1
1
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