Asked by LizzyLiz

I need to know if I am correct...
Ques)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.
Ans)it will sell 50 – x box seats. The function S = 50x – x2 gives the estimated income from the sale of the box seats...
And,the maximum income S(x) is:
dS/dx = 50 - 2x = 0; x = 25
S(25) = 25 * 25 = 625
The maximum income is $625. The ticket price for that is $25.
Am I right???
Answered by Damon
yes S = 50 x - x^2

dS/dx = 0 = 50 - 2x
so
x = 25

S = 50(25) -625

= 625 sure enough
Answered by LizzyLiz
AWESOME! Thanks Damon! Are you a teacher in real life?
Answered by Damon
No, retired professor of engineering
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