SOLUTION: Giselle wants to run a tutoring program over the summer. She comes up with the following profit function: P(x)=-2x^2+100x=25 where x represents the price of the program. Between w

Question 1107128: Giselle wants to run a tutoring program over the summer. She comes up with the following profit function: P(x)=-2x^2+100x=25 where x represents the price of the program. Between what two prices should she charge to make a profit? How much should she charge her students if she wants to make the most profit?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The function is -2x^2+100x-25=0, and positive is profit.
Can graph it

Need zeros to show the range of values
multiplying by -1 get 2x^2-100x+25=0
x=(1/4)(100+/-sqrt(10000-200); sqrt(9800)=98.99
x=(1/4)(198.99)=49.75 and x=(1/4)(1.01) or 0.25, round to $0.26, exact is $0.2525.
Maximum is at vertex. and x=-b/2a=-100/4=$25
Between $0.25 and $49.75, maximum at $25.
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