document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189856>Question 189856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A printing company charges $15.00 per order plus $0.10 per page for printing flyers. A second company charges $12.00 per order plus $0.15 per page. Find the equilibrium point, and explain what this point means in the context of the data. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142533 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=142533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "We can simply find the equilibrium point by equating the 2 conditions\r<BR>\n" );
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document.write( "Let <font color=blue>x</font> = number of pages the 2 companies are printing.\r<BR>\n" );
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document.write( "Company A = Company B\r<BR>\n" );
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document.write( "Fixed Rate per Order + Rate per Page = Fixed Rate per Order + Rate per Page<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2B0.10%2Ared%28x%29=12%2B0.15%2Ared%28x%29 ALIGN=MIDDLE  ALT=\"15%2B0.10%2Ared%28x%29=12%2B0.15%2Ared%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-12=0.15%2Ared%28x%29-0.10%2Ared%28x%29 ALIGN=MIDDLE  ALT=\"15-12=0.15%2Ared%28x%29-0.10%2Ared%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=0.05%2Ared%28x%29 ALIGN=MIDDLE  ALT=\"3=0.05%2Ared%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%283%2960%2Fcross%280.05%29=cross%280.05%29%2Ared%28x%29%2Fcross%280.05%29 ALIGN=MIDDLE  ALT=\"cross%283%2960%2Fcross%280.05%29=cross%280.05%29%2Ared%28x%29%2Fcross%280.05%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28red%28x=60pages%29%29 ALIGN=MIDDLE  ALT=\"highlight%28red%28x=60pages%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> Equilibrium Point, either A or B = same price.\r<BR>\n" );
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document.write( "*In economics, the supply equals the demand.<BR>\n" );
document.write( "In our problem, when you print 60 pages, you can go either A or B for the charges are equal (the same).\r<BR>\n" );
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document.write( "Calculations:\r<BR>\n" );
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document.write( "Company A: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2B0.10%2Ahighlight%2860pages%29=15%2B6 ALIGN=MIDDLE  ALT=\"15%2B0.10%2Ahighlight%2860pages%29=15%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= $21.00\r<BR>\n" );
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document.write( "Company B: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2B0.15%2Ahighlight%2860pages%29=12%2B9 ALIGN=MIDDLE  ALT=\"12%2B0.15%2Ahighlight%2860pages%29=12%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >= $21.00\r<BR>\n" );
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document.write( "We see the graph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-6%2C100%2C-4%2C26%2Cgraph%28500%2C500%2C-6%2C100%2C-4%2C26%29%2Cgreen%28line%280%2C21%2C60%2C21%29%29%2Cgreen%28line%2860%2C21%2C60%2C0%29%29%2Cred%28circle%2860%2C21%2C.75%29%29%2Cred%28circle%2860%2C21%2C.92%29%29%2Cred%28circle%2860%2C21%2C.55%29%29%2Cblue%28locate%2850%2C-1.5%2Cpages%29%29%2Cblue%28locate%283%2C25%2C%24dollar%29%29%2Cgreen%28arrow%2854%2C18%2C36%2C18%29%29%2Cgreen%28arrow%2854%2C14%2C36%2C14%29%29%2Cgreen%28arrow%2866%2C18%2C84%2C18%29%29%2Cgreen%28arrow%2866%2C14%2C84%2C14%29%29%2Carrow%2862%2C21.2%2C66%2C21.6%29%2Cred%28locate%2866.2%2C22.2%2CEQUILIBRIUM=AorB%29%29%2Cblue%28locate%2818%2C9%2CB=cheaper%29%29%2Cblue%28locate%2872%2C9%2CA=cheaper%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As you see in the graph, if the no. of pages is <font color=blue>less</font> than 60, go with Company B ---> cheaper!\r<BR>\n" );
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document.write( "If the no. of pages is <font color=blue>more</font> than 60, go with Company A ---> cheaper!\r<BR>\n" );
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document.write( "Try 40 pages? 80pages?\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font><BR>\n" );
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