What Value Of $x$ Gives the Minimum Value Of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$

Multiple Choice

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$ Consider only positive $x$ -values.

A) $x = 9$
B) $x = - 7$
C) $x = 3$
D) There is no solution.