At Allied Electronics, Production Has Begun on the X-15 $R ( x ) = 52 x - 0.3 x ^ { 2 }$

Multiple Choice

At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by $R ( x ) = 52 x - 0.3 x ^ { 2 }$ and the total cost function is given by C(x) =2 x+8 , where x represents the number of boxes of computer chips produced. The total profit function, P(x) , is such that P(x) =R(x) -C(x) . Find P(x) .

A) $P ( x ) = - 0.3 x ^ { 2 } + 48 x + 8$
B) $P ( x ) = 0.3 x ^ { 2 } + 48 x - 24$
C) $P ( x ) = - 0.3 x ^ { 2 } + 50 x - 8$
D) $P ( x ) = 0.3 x ^ { 2 } + 50 x - 16$