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 the box seats. (this is the rest of the problem) i cant figure this out. if you can please explain it it will be a big help please and thank you:)

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You want the no. of tickets for maximising profit?

well i get 25 but it isnt right

Correct. S = x * (50 - x) = 50x - x^2 You may want to know what 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.

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