Question 1107128
The function is -2x^2+100x-25=0, and positive is profit.
Can graph it
{{{graph(300,300,-15,70,-200,1500,-2x^2+100x-25)}}}
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.