document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008709>Question 1008709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Occasionally, for extra income, I do data entry for local companies. Recently, I was doing data entry for two companies. Between the two companies, I had a total of 6 hours a week I could spend on these projects. I determined that it costs me $4 per hour for Company A projects and $1 per hour for Company B projects. I don't want to spend more than $12 in working on these projects. If my profit is $1 per hour for Company A projects and $5 per hour for Company B projects, how many hours should I spend on projects for each company to maximize my profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624287 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=624287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Between the two companies, I had a total of 6 hours a week I could spend on these projects. I determined that it costs me $4 per hour for Company A projects and $1 per hour for Company B projects. I don't want to spend more than $12 in working on these projects. If my profit is $1 per hour for Company A projects and $5 per hour for Company B projects, how many hours should I spend on projects for each company to maximize my profit? <BR>\n" );
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document.write( "A >= 0<BR>\n" );
document.write( "B >= 0<BR>\n" );
document.write( "Hours:: A + B <= 6 hrs<BR>\n" );
document.write( "Cost:: 4A + B <= 12 dollars<BR>\n" );
document.write( "Profit:: maximize:: P = A + 5B <BR>\n" );
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document.write( "Graph:: A <= -B + 6<BR>\n" );
document.write( "Graph:: A <= (-B/4) + 3<BR>\n" );
document.write( "Find the intersection of the two boundary lines::<BR>\n" );
document.write( "B = 4 when A = 2<BR>\n" );
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document.write( "Evaluate (0,6),(6,0),(4,2) in the Profit equation to mind the maximum:<BR>\n" );
document.write( "(0,6) gives P = $30<BR>\n" );
document.write( "(6,0) gives P = $6<BR>\n" );
document.write( "(4,2) gives P = $14<BR>\n" );
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document.write( "Ans: 0 hrs on A ; 6 hrs on B<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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