document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368601>Question 368601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is my problem that I am stuck with and do not know how to finish:  The problem is on Systems of Linear Equations; Matrices. The problem is: As the restaurant owern there are many decisions that you need to make on a daily basis, such as wher to keep inventory levels. You wish to replenish our stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose.  One design costs $20 per set and the other $45 per set.  If you only have $6,800 to spend, how many of each design should you offer<BR>\n" );
document.write( "Hint:  Let x = the number of sets of $20 dishes and y = the number of sets of $45 dishes.  Solve the equations for the different dish designs to be ordered with the desired technique: graphing, substitution, elimination matrix. Explain how to check your solution for both equations. This is as far as I got because I really don't understand it.  x = $20, y = $45, total of 250, x + y = 250,    $20x + 45y = $6,800    My email address is nifty_at_fifty57@yahoo.com  Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262656 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Your equations are spot on.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 250\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 20x\ +\ 45y\ =\ 6800\">\r<BR>\n" );
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document.write( "Elimination is the easiest for this system.\r<BR>\n" );
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document.write( "Multiply the first equation by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -20\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -20x\ -\ 20y\ =\ -5000\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 20x\ +\ 45y\ =\ 6800\">\r<BR>\n" );
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document.write( "Add the two equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -20x\ +\ 20x\ -\ 20y\ +\ 20y\ =\ -5000\ +\ 6800\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 25y\ =\ 1800\ \Leftrightarrow\ y\ =\ 72\">\r<BR>\n" );
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document.write( "From which you get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 72\ =\ 250\">\r<BR>\n" );
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document.write( "hence\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 178\">\r<BR>\n" );
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document.write( "Check by substituting the calculated values back into the two equations to ensure that both equations are true statements when the values are inserted.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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