brief calculus marginal profit

Question

Your monthly profit (in dollars) from selling magazines is given by

P = 8x + 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. (Round your answers to two decimal places.)

profit  :
marginal profit   :

Interpret your answers.

Your current profit is $____per month, and would increase at a rate of $___per additional magazine sold per month.

Answer 1

Your profit is going to be 8*50+√50 or 400+5√2

Your marginal profit is the derivative (slope) of the Profit formula. That is 8+1/(2√x). You can plug 50 back into the formula for x to find your marginal profit at 50 magazines.