document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189435>Question 1189435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jill sells TVs and DVD players. She earns 4% commission on each tv and 9% commission on each DVD player. The price of tv is $650 and the price of a DVD player is $225. She wants to earn a minimum of $1200 commission each month.\r<BR>\n" );
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document.write( "a) Write an inequality that represents this situation. <BR>\n" );
document.write( "b) Sketch the inequality, showing all key points <BR>\n" );
document.write( "   State a potential solution to the problem  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820936 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=820936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of TV<BR>\n" );
document.write( "let y = the number of DVD\r<BR>\n" );
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document.write( "the commission on the sale of TV = .04 * 650 * x.<BR>\n" );
document.write( "the commission on the sale of DVD = .09 * 225 * y.\r<BR>\n" );
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document.write( "your inequality is .04 * 650 * x + .09 * 225 * y >= 1800\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "y >= 26 * x + 20.25 * Y >= 1800.\r<BR>\n" );
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document.write( "any integral point on or above this line will satisfy the inequality.\r<BR>\n" );
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document.write( "here's what the graph of the equation of that line looks like.\r<BR>\n" );
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document.write( "critical points are (0,59.259) and (46.154,0).<BR>\n" );
document.write( "if an integer value of y is greater than 59.259, then any positive integer value of x is good.<BR>\n" );
document.write( "if an integer value of x is greater than 46.154, then any positive integer value of y is good.\r<BR>\n" );
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document.write( "for example, if you evaluate the inequality at each of the coordinate points shown, you will get:\r<BR>\n" );
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document.write( "at (0,60), you get 26 * 0 + 20.25 * 60 = 1215 which is greater than 1200.<BR>\n" );
document.write( "at (47,0), you get 26 * 47 + 20.25 * 0 = 1222 which is greater than 1200.<BR>\n" );
document.write( "at (10,10), you get 26 * 10 + 20.25 * 10 = 462.5 which is NOT greater than 1200.<BR>\n" );
document.write( "at (40,40), you get 26 * 40 + 20.25 * 40 = 1850 which is greater than 1200.\r<BR>\n" );
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document.write( "the value of both x and y must be greater than or eual to 0, because the number of TV or DVD can't be negative.<BR>\n" );
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