SOLUTION: A small manufacturers weekly profit in dollars is given by p=-3x^2+270x. Find the number of items that must be produced to realize a profit of $5775. 5775 = -3x^2+270x -3x^2+2

Question 122675: A small manufacturers weekly profit in dollars is given by p=-3x^2+270x. Find the number of items that must be produced to realize a profit of $5775.
5775 = -3x^2+270x
-3x^2+270x-5775 =0
3(x^2-90x+1925)=0
3(x-35)(x-55)=0
(x-35)(x-55)=0
I came up with the answer of x=35,55 but the question is asking for the number of items so I need some help. Thanks in advance.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You have the correct solutions (I'm assuming that you got x=35 or x=55). So if you produce either 35 or 55 items, you will gain a profit of $5775
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