document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112164>Question 112164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLS SHOW THE GRAPHICAL SOLUTION\r<BR>\n" );
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document.write( "the acme class ring co. designs and sells two types of rings: the VIP and the SST. they can produce up to 24 rings each day using up to 60 total man-hours of labor. it takes 3 man-hrs to make one VIP ring and 2 man-hrs to make one SST ring. how many of each type of ring should be made daily to maximize the co's profit, if the profit on a VIP ring is $20 and on an SST ring is $50?\r<BR>\n" );
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document.write( "A)12 VIP and 12 SST<BR>\n" );
document.write( "B) 0 VIP and 20 SST<BR>\n" );
document.write( "C) 4 VIP and 20 SST<BR>\n" );
document.write( "D) 0 VIP and 24 SST\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 #81830 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=81830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the acme class ring co. designs and sells two types of rings: the VIP and the SST. they can produce up to 24 rings each day<BR>\n" );
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document.write( "0<=V<=24<BR>\n" );
document.write( "0<=S<=24<BR>\n" );
document.write( "V+S <= 24<BR>\n" );
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document.write( " using up to 60 total man-hours of labor. it takes 3 man-hrs to make one VIP ring and 2 man-hrs to make one SST ring.<BR>\n" );
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document.write( "3V+2S <= 60<BR>\n" );
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document.write( " how many of each type of ring should be made daily to maximize the co's profit, if the profit on a VIP ring is $20 and on an SST ring is $50?<BR>\n" );
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document.write( "Profit = 20V+50S<BR>\n" );
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document.write( "Rearrange Inequalities:<BR>\n" );
document.write( "Both V and S are in the 1st quadrant.<BR>\n" );
document.write( "V <= 24-S <BR>\n" );
document.write( "V <=(-2/3)S+20<BR>\n" );
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document.write( "Graph the boundary lines:<BR>\n" );
document.write( "Draw a vertical line at S=24<BR>\n" );
document.write( "Draw a horizontal line at V=24<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C40%2C-10%2C40%2C-x%2B24%2C%28-2%2F3%29x%2B20%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C40%2C-10%2C40%2C-x%2B24%2C%28-2%2F3%29x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the coordinates of the vertices of the solution set<BR>\n" );
document.write( "Substitute each coordinate pair of values into the Profit equation<BR>\n" );
document.write( "to see which pair gives the maximum profit value.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "A)12 VIP and 12 SST<BR>\n" );
document.write( "B) 0 VIP and 20 SST<BR>\n" );
document.write( "C) 4 VIP and 20 SST<BR>\n" );
document.write( "D) 0 VIP and 24 SST <BR>\n" );
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