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Single Variable Calculus

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Optimize Average Cost

SVCALC-CIHGTT

A construction company is looking at building an office building. In thousands of dollars, to build an office consisting of $n$ floors, it costs:

$$C(n)=3n^3+350n+750$$

What number of floors minimizes the average cost per floor?

A

$4$

B

$5$

C

$6$

D

no minimum