The Cost of Producing X Units of a Certain Commodity $C ( x ) = 3 x ^ { 2 } + 4 x + 7$

Multiple Choice

The cost of producing x units of a certain commodity is $C ( x ) = 3 x ^ { 2 } + 4 x + 7$ dollars. If the price is p(x) = (49 - x) dollars per unit, determine the level of production that maximizes profit.

A) x = 1
B) x = 2
C) x = 3
D) x = 6