The ticket office at Orchestra Center estimates that if it charges x dollars for box seats for a concert, it will sell 50  x box seats. The function S = 50x 
Mathematics
kellymashburn
Question
The ticket office at Orchestra Center estimates that if it charges x dollars for box seats for a concert, it will sell 50  x box seats. The function S = 50x  x2 gives the estimated income from the sale of box seats. Graph the function, and use the graph to find the price for box seats that will give the greatest income.
2 Answer

1. User Answers irspow
S=50xx^2
dS/dx=502x
d2S/dx2=2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 502x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50xx^2
S(25)=$625.00 
2. User Answers alexamaya2016
Answer:
$25 per box seat
Stepbystep explanation:
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