Solve the Problem $c ( x ) = 3 x ^ { 3 } - 26 x ^ { 2 } + 7664 x$

Multiple Choice

Solve the problem.
-Suppose that $c ( x ) = 3 x ^ { 3 } - 26 x ^ { 2 } + 7664 x$ is the cost of manufacturing $x$ items. Find a production level that will minimize the average cost of making $x$ items.

A) 7664 items
B) -79 items
C) 97 items
D) There is not a production level that will minimize average cost.