document.write( "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?
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Algebra.Com's Answer #786202 by ikleyn(52793)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In this problem, \"no profit\" means P = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, to determine the ticket price, you need to solve this quadratic equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 950c - 9.5c^2 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Factor left side to get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 9.5c*(100 - c) = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It has two roots c = 0 (which corresponds to distributing the tickets for free) and c = 100.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |