document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403086>Question 403086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kenisha sells athletic shoes part time at a department store. She can earn either 500 per month plus a 4% commission on her total sales,or $400 per month plus 5% commission on total sales <BR>\n" );
document.write( "19. Write a system of equation to represent the situation? <BR>\n" );
document.write( "20. What is the total price of the athletic to represent the situation?<BR>\n" );
document.write( "21. Which is the better offer?\r<BR>\n" );
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document.write( "Can u explain how to do this problem ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285119 by </B><A HREF=/tutors/aboutme.mpl?userid=rvquartz><B>rvquartz(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rvquartz><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=rvquartz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plan 'A' total compensation = x<BR>\n" );
document.write( "plan 'B' total compensation = y\r<BR>\n" );
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document.write( "let z = total sales\r<BR>\n" );
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document.write( "x = 500 + 0.04z<BR>\n" );
document.write( "y = 400 + 0.05z\r<BR>\n" );
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document.write( "the better offer DEPENDS on the total sales that Kenisha makes\r<BR>\n" );
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document.write( "the point at which the two plans are the same is found by making the x and y equal:\r<BR>\n" );
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document.write( "500 + 0.04z = 400 + 0.05z\r<BR>\n" );
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document.write( "100 = 0.01z\r<BR>\n" );
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document.write( "z = 10,000\r<BR>\n" );
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document.write( "so \r<BR>\n" );
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document.write( "if Kenisha sells EXACTLY $10,000 per month both plans give her the same compensation so no plan is \"better\"\r<BR>\n" );
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document.write( "if Kenisha sells LESS than $10,000 per month, then plan 'A' is \"better\" for her in terms of compensation. That is because the $100 that she gains on the base salary from plan 'A' is bigger than the 1% sales commission she loses on total sales (which is less than $10,000)\r<BR>\n" );
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document.write( "if Kenisha sells MORE than $10,000 per month, then plan 'B' is \"better\" for her in terms of compensation. That is because the extra 1% sales commission she makes on total sales (which is more than $10,000) is more than the $100 loss she takes on the base salary amount<BR>\n" );
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