Friday

December 19, 2014

December 19, 2014

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

**Answer this Question**

**Related Questions**

Math - An auditorium has 1600 seats. At a ticket price of $6, the owners can ...

Math - An auditorium has 1600 seats. At a ticket price of $6, the owners can ...

Math - A theater seats 200 people and charges $10 for a ticket. At this price, ...

Math - A 3500-seat theater sells tickets for $75 and $110. Each night the ...

calculus - At a price of $7.5 per ticket, a musical theater group can fill ...

Calculus Help - At a price of $7.5 per ticket, a musical theater group can fill ...

Calculus - At a price of $7.5 per ticket, a musical theater group can fill every...

algebra - Q 2: If the ticket agency charges ‘p’ dollars per ticket for a concert...

Discrete Mathematics - When a theater charges $50 per ticket, a sold-out crowd ...

math - the students are selling tickets to the school fair. all tickets cost the...