document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071777>Question 1071777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jim is looking for a job in sales. Future Store will pay him $30 per day plus 5% commission on his sales. Buy the Best will pay him a $40 per day plus 4% commission on his sales. How much does Jim need to sell per day to make Furture Store a better place to work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686727 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the amount of money he gets his commission on per day.\r<BR>\n" );
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document.write( "he makes 30 dollars plus .05 * x every day at future store.\r<BR>\n" );
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document.write( "he makes 40 dollars plus .04 * x every day at buy the best.\r<BR>\n" );
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document.write( "in order to make future store a better place to work, he needs to make more there than he would at buy the best.\r<BR>\n" );
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document.write( "that leads to the following equation:\r<BR>\n" );
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document.write( "30 + .05 * x > 40 + .04 * x\r<BR>\n" );
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document.write( "subtract 30 from both sides of this inequality to get:\r<BR>\n" );
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document.write( ".05 * x > 40 + .04 * x - 30\r<BR>\n" );
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document.write( "subtract .04 * x from both sides of this inequality to get:\r<BR>\n" );
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document.write( ".05 * x - .04 * x > 40 - 30\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( ".01 * x > 10\r<BR>\n" );
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document.write( "divide both sides of this inequality by .01 to get:\r<BR>\n" );
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document.write( "x > 10/.01\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x > 1000\r<BR>\n" );
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document.write( "he needs to sell more than 1000 dollars of merchandise in order to make future store a better place to work than buy the best, assuming money is the determining factor.\r<BR>\n" );
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document.write( "he will break even when he sells 1000 dollars worth of merchandise.<BR>\n" );
document.write( "he will do better when he sells more than 1000 dollars worth of merchandise.\r<BR>\n" );
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document.write( "when x = 1000,\r<BR>\n" );
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document.write( "money at future store = 30 + .05 * x = 30 + 50 = 80<BR>\n" );
document.write( "money at buy the best = 40 + .04 * x = 40 + 40 = 80\r<BR>\n" );
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document.write( "when x = 1200,\r<BR>\n" );
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document.write( "money at future store = 30 + .05 * x = 30 + 60 = 90<BR>\n" );
document.write( "money at buy the best = 40 + .04 * x = 40 + 48 = 88\r<BR>\n" );
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document.write( "the following table shows <, =, > values:\r<BR>\n" );
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document.write( "             future store     buy the best\r\n" );
document.write( "x            30 + .05 * x     40 + .04 * x\r\n" );
document.write( "800          70               72\r\n" );
document.write( "1000         80               80\r\n" );
document.write( "1200         90               88\r\n" );
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document.write( "the break even is when x = 1000<BR>\n" );
document.write( "after that, future store money is greater than buy the best money.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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