document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164583>Question 164583</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321386728/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with this problem:\r<BR>\n" );
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document.write( "The Acme Class Ring Company 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-hours to make one VIP ring, versus 2 man-hours to make one SST ring.\r<BR>\n" );
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document.write( "How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $60 and on an SST ring is $20?\r<BR>\n" );
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document.write( "a. 24 VIP and 4 SST<BR>\n" );
document.write( "b. 20 VIP and 0 SST<BR>\n" );
document.write( "c. 20 VIP and 4 SST<BR>\n" );
document.write( "d. 24 VIP and 0 SST </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121298 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=121298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Acme Class Ring Company 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-hours to make one VIP ring, versus 2 man-hours to make one SST ring. <BR>\n" );
document.write( "How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $60 and on an SST ring is $20?<BR>\n" );
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document.write( "Quantity Inequality: P + T <= 24<BR>\n" );
document.write( "Man-hrs Inequality: 3P + 2T <= 60<BR>\n" );
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document.write( "Solve each inequality for P and graph in the 1st quadrant:<BR>\n" );
document.write( "P = -T + 24<BR>\n" );
document.write( "P = (-2/3)T + 20<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C30%2C+-10%2C30%2C-x%2B24%2C%28-2%2F3%29x%2B20%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C30%2C+-10%2C30%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( "Check the T/P values of the P intercept, the T intercept, and the <BR>\n" );
document.write( "intersection of the two equation lines: (0.20), (24,0), and (12,12)<BR>\n" );
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document.write( "Evaluate the profit from each production combination:<BR>\n" );
document.write( "(0,20): 20*0 + 60*20 = 1200<BR>\n" );
document.write( "(24,0): 20*24 + 60*0 = 480<BR>\n" );
document.write( "(12,12): 20*12 + 60*12 = 12*80 = 960<BR>\n" );
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document.write( "Ans: Best profit with 0 T rings and 20 P rings<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "a. 24 VIP and 4 SST<BR>\n" );
document.write( "b. 20 VIP and 0 SST<BR>\n" );
document.write( "c. 20 VIP and 4 SST<BR>\n" );
document.write( "d. 24 VIP and 0 SST<BR>\n" );
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