document.write( "Question 1184191: A carpenter can construct book cases at a cost of P400 each. If
\n" );
document.write( "the carpenter sells the book cases for š„ dollars each, it is
\n" );
document.write( "estimated that 300 ā 2š„ book cases will be sold per month.
\n" );
document.write( "Express the number of dollars in the carpenterās monthly
\n" );
document.write( "profit as a function of š„. \n" );
document.write( "
Algebra.Com's Answer #814731 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A carpenter can construct book cases at a cost of \n" ); document.write( "the carpenter sells the book cases for x dollars each, it is \n" ); document.write( "estimated that 300 ā 2x book cases will be sold per month. \n" ); document.write( "Express the number of dollars in the carpenterās monthly \n" ); document.write( "profit as a function of x. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Notice that in your post I replaced P400 by $400.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The monthly profit is the product of the profit per single book case\r\n" ); document.write( "\r\n" ); document.write( "multiplied by the number of the sold book cases\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " PROFIT = P = (x-400)*(300-2x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You can equivalently present it in the form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P = 300x - 2x^2 - 120000 + 800x dollars\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "or in the form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P = -2x^2 + 1100x - 120000 dollars.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |