Your Monthly Profit (In Dollars) from Selling Magazines Is Given $P ( x ) = 5 x + 2 \sqrt { x }$

Multiple Choice

Your monthly profit (in dollars) from selling magazines is given by $P ( x ) = 5 x + 2 \sqrt { x }$ where x is the number of magazines you sell in a month. If you are currently selling $x = 50$ magazines per month, find your profit and your marginal profit.

A) $P ( 50 ) = \$ 132.07 , P ^ { \prime } ( 50 ) = \$ 2.57$
B) $P ( 50 ) = \$ 260.00 , P ^ { \prime } ( 50 ) = \$ 0.49$
C) $P ( 50 ) = \$ 528.28 , P ^ { \prime } ( 50 ) = \$ 5.64$
D) $P ( 50 ) = \$ 260.00 , P ^ { \prime } ( 50 ) = \$ 5.14$
E) $P ( 50 ) = \$ 264.14 , P ^ { \prime } ( 50 ) = \$ 5.14$