SOLUTION: The total profit made by a social club by putting on a concert is modelled by P = 950c - 9.5c^2, where P is the profit, in dollars, and c is the price of the tickets, in dollars.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The total profit made by a social club by putting on a concert is modelled by P = 950c - 9.5c^2, where P is the profit, in dollars, and c is the price of the tickets, in dollars.      Log On


   

Question 1162410: The total profit made by a social club by putting on a concert is modelled by P = 950c - 9.5c^2, where P is the profit, in dollars, and c is the price of the tickets, in dollars. What ticket price would result in no profit?

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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In this problem,  "no profit"  means  P = 0.


So, to determine the ticket price,  you need to solve this quadratic equation


    950c - 9.5c^2 = 0.


Factor left side to get


    9.5c*(100 - c) = 0.


It has two roots  c = 0 (which corresponds to distributing the tickets for free)  and  c = 100.

Solved.