SOLUTION: Solve the following graphically and algebraically showing your work. Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selli

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Solve the following graphically and algebraically showing your work. Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selli      Log On


   

Question 1101936: Solve the following graphically and algebraically showing your work.
Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selling price. For what range of prices can Katie sell the scarves, in order to make a profit? (For what values of "s" will -s2 + 25s - 100 be greater than 0?)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
-s^2+25s-100>0
(-s+20)(s-5)>0
s>5
-s>20
s<20
(5, 20) is the interval, or between $5 and $20 not inclusive.
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