document.write( "Question 1062225: It costs Uther $30 to produce 10 durians and he is able to sell each one for $7. State an inequality that shows how many durians ($m) he must sell to generate a profit \n" ); document.write( "
Algebra.Com's Answer #677167 by Theo(13342)![]() ![]() You can put this solution on YOUR website! he makes 10 durians for 30 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he sells each durian for 7 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the number of durians he sells.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his revenue is 7 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his cost is 30.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his revenue must be greater than his cost to make a profit, so you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * x >= 30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x, and you get x >= 30/7 which becomes x >= 4 and 2/7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since he can't sell part of a durian, than x >= 5 is the answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when he sells 4 durians, he makes 28 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when he sells 5 durians, he makes 35 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he starts making a profit when he sells at least 5 durians.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |