SOLUTION: Miguel owns a business that sells snowboards. The profit function for his business can be modelled by the equation P(x)= -2x^+26x-11 ,where x is the quantity sold, in thousands, an

Question 1096790: Miguel owns a business that sells snowboards. The profit function for his business can be modelled by the equation P(x)= -2x^+26x-11 ,where x is the quantity sold, in thousands, and P(x) is the profit in thousands of dollars.
How many snowboards must Miguel sell in order for his business to break even?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Miguel owns a business that sells snowboards.
The profit function for his business can be modelled by the equation
P(x)= -2x^+26x-11 , where
x is the quantity sold, in thousands, and
P(x) is the profit in thousands of dollars.
How many snowboards must Miguel sell in order for his business to break even?
:
When he breaks even, the profit will be 0, therefore:
-2x^2 + 26x - 11 = 0
use the quadratic formula, a=-2; b=26; c=-11
I got a positive solution of
x = 12.562 which is 12,562 skate boards to break even
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