SOLUTION: a manufacturer determines that the profit in dollars for manufacturing n units is P= 3n^2-30n-170. (Assume that n is a postive integer) How many units are produced when the profit

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Question 629300: a manufacturer determines that the profit in dollars for manufacturing n units is P= 3n^2-30n-170. (Assume that n is a postive integer) How many units are produced when the profit is $430?
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

P= 3n^2-30n-170

P = $430

 430 = 3n^2 - 30n - 170

OR

 3n^2 -30n - 600 =  0 

  n^2 - 10n - 200 = 0

factoring

 (n - 20)(n + 10) = 0    ||ony positive solution is appropriate

    n = 20, number of units produced when the profit is $430