document.write( "Question 1157135: A store owner estimates that by charging \"x\" dollars each for a certain lamp, he can sell \"10-x\" lamps each week. What price will yield maximum revenue? \n" ); document.write( "
Algebra.Com's Answer #779956 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The revenue is R(x) = x*(10-x).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is a parabola opened downward, with x-intercepts at 0 and 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The maximum is achieved at x= 5, exactly half way between x-intercepts.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the price of $5 per lamp will provide maximum revenue. ANSWER\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( " |