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January 29, 2015

January 29, 2015

Posted by **Andrew** on Tuesday, August 30, 2011 at 1:45pm.

- Math -
**Reiny**, Tuesday, August 30, 2011 at 1:56pmlet the number of 25 cent increases by x

income = ticket price x number of tickets sold

income = (6+.25x)(1200-25x)

= 7200 - 150x + 300x - 6.25x^2

= -6.25x^2 150x + 7200

d(income)/dx = -12.5x + 150 = 0 for a max of income

12.5x = 150

x = 12

so the price for max income should be 6 + .25(12) = $9.00

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