document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635933>Question 635933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Macys and Dillards are both advertising positions for sales associates. The Macys position will pay $20,000 plus a 7% commission on all transactions completed by the sales associate. The Dillards position will pay $25,000 plus a 5% commission on all transactions completed by the sales associate. How much must be sold to make the Macys position the higher paying job?\r<BR>\n" );
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document.write( "CHOICES:\r<BR>\n" );
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document.write( "a. The sales associate should sell more than $100.\r<BR>\n" );
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document.write( "b. The sales associate should sell more than $1,000.\r<BR>\n" );
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document.write( "c. The sales associate should sell more than $25,000\r<BR>\n" );
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document.write( "d. The sales associate should sell more than $250,000.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400643 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=400643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let M = income at Macys and<BR>\n" );
document.write( "    D = income at Dillards and<BR>\n" );
document.write( "    S = Sales in $<BR>\n" );
document.write( "From the problem statement we have<BR>\n" );
document.write( "    M = $20,000 + 7% S<BR>\n" );
document.write( "    D = $25,000 + 5% S<BR>\n" );
document.write( "In order for Macys income to exceed Dillards we have the inequality<BR>\n" );
document.write( "    M > D or<BR>\n" );
document.write( "    20,000 + 0.07S > 25,000 + 0.05S<BR>\n" );
document.write( "Combining like terms we obtain<BR>\n" );
document.write( "    (0.07-0.05)S > 25,000-20,000<BR>\n" );
document.write( "     0.02S > 5,000<BR>\n" );
document.write( "     S > 5,000/.02<BR>\n" );
document.write( "     S > 250,000<BR>\n" );
document.write( "Choose d, the sales associate should sell more than $250,000<BR>\n" );
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