document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964049>Question 964049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Linear equation for a company that sells plastic airtight containers is P= a+bx, where P is the profit in Rands, x is the number of units sold, and a andb are constants. When 100 units are sold, the profit is R21 000 and when 450 units are sold, the profit is R126 000.\r<BR>\n" );
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document.write( "Determine the values if a and b.\r<BR>\n" );
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document.write( "Draw a neat graph showing profit as a function of the number of units sold.\r<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 #589130 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Linear equation for a company that sells plastic airtight containers is<BR>\n" );
document.write( " P= a+bx, where<BR>\n" );
document.write( " P is the profit in Rands,<BR>\n" );
document.write( " x is the number of units sold, <BR>\n" );
document.write( " and a and b are constants.<BR>\n" );
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document.write( " When 100 units are sold, the profit is R21 000<BR>\n" );
document.write( "a + 100b = 21000<BR>\n" );
document.write( " and when 450 units are sold, the profit is R126 000.<BR>\n" );
document.write( "a + 450b = 126000<BR>\n" );
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document.write( "Determine the values if a and b.<BR>\n" );
document.write( "Subtract the 1st equation from the 2nd equation<BR>\n" );
document.write( "a + 450b = 126000<BR>\n" );
document.write( "a + 100b = 21000<BR>\n" );
document.write( "------------------Eliminates a, find b<BR>\n" );
document.write( "0 + 350b = 105000<BR>\n" );
document.write( "b = 105000/350<BR>\n" );
document.write( "b = 300<BR>\n" );
document.write( "Find a using the 1st equation<BR>\n" );
document.write( "a + 100(300) = 21000<BR>\n" );
document.write( "a + 30000 = 21000<BR>\n" );
document.write( "a = 21000 - 30000<BR>\n" );
document.write( "a = -9000<BR>\n" );
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document.write( "The equation P = 300x - 9000<BR>\n" );
document.write( "Draw a neat graph showing profit as a function of the number of units sold.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-200%2C+1000%2C+-50000%2C+300000%2C+300x-9000%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-200%2C+1000%2C+-50000%2C+300000%2C+300x-9000%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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