document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119915>Question 119915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Production Turley Tailor Inc. makes long-sleeve, shortsleeve,<BR>\n" );
document.write( "and sleeveless blouses. A long-sleeve blouse<BR>\n" );
document.write( "requires 1.5 hours of cutting and 1.2 hours of sewing. A<BR>\n" );
document.write( "short-sleeve blouse requires 1 hour of cutting and .9 hour of<BR>\n" );
document.write( "sewing. A sleeveless blouse requires .5 hour of cutting<BR>\n" );
document.write( "and .6 hour of sewing. There are 380 hours of labor available<BR>\n" );
document.write( "in the cutting department each day and 330 hours in<BR>\n" );
document.write( "the sewing department. If the plant is to run at full capacity,<BR>\n" );
document.write( "how many of each type of blouse should be made each day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87920 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=87920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Inc. makes long-sleeve, short-sleeve,and sleeveless blouses.<BR>\n" );
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document.write( " A long-sleeve blouse requires 1.5 hours of cutting and 1.2 hours of sewing.<BR>\n" );
document.write( ": <BR>\n" );
document.write( " A short-sleeve blouse requires 1 hour of cutting and .9 hour of sewing.<BR>\n" );
document.write( ": <BR>\n" );
document.write( " A sleeveless blouse requires .5 hour of cutting and .6 hour of sewing. <BR>\n" );
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document.write( "There are 380 hours of labor available in the cutting department each day \r<BR>\n" );
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document.write( ":and 330 hours in the sewing department. <BR>\n" );
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document.write( "If the plant is to run at full capacity,how many of each type of blouse should be made each day?<BR>\n" );
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document.write( "Let the 3 types be:<BR>\n" );
document.write( "x = no. of long-sl<BR>\n" );
document.write( "y = no. of short-sl<BR>\n" );
document.write( "z = no of no-sl<BR>\n" );
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document.write( "Total cutting hrs is 380, write the cutting equation:<BR>\n" );
document.write( "1.5x + 1y + .5z = 380<BR>\n" );
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document.write( "Total sewing hrs is 330, write the sewing equation<BR>\n" );
document.write( "1.2x + .9y + .6z = 330<BR>\n" );
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document.write( "The problem here is we have 3 unknowns and 2 equations;<BR>\n" );
document.write( "Choose a value for z that will ensure that x & y will have integer solutions<BR>\n" );
document.write( "I chose z = 100 no-sl<BR>\n" );
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document.write( "1.5x + 1y + .5(100) = 380<BR>\n" );
document.write( "1.5x + 1y + 50 = 380<BR>\n" );
document.write( "1.5x + 1y = 380 - 50<BR>\n" );
document.write( "1.5x + 1y = 330<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1.2x + .9y + .6(100) = 330<BR>\n" );
document.write( "1.2x + .9y + 60 = 330<BR>\n" );
document.write( "1.2x + .9y = 330 = 60<BR>\n" );
document.write( "1.2x + .9y = 270<BR>\n" );
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document.write( "Solve these two equations by elimination<BR>\n" );
document.write( "Multiply the 1st 2 unknown equation by 12 & the 2nd by 15; we have:<BR>\n" );
document.write( "18x + 12y = 3960<BR>\n" );
document.write( "18x + 13.5y = 4050<BR>\n" );
document.write( "--------------------subtracting eliminates x, find y<BR>\n" );
document.write( "0x - 1.5y = -90<BR>\n" );
document.write( "y = -90/-1.5<BR>\n" );
document.write( "y = 60 short-sl<BR>\n" );
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document.write( "Find x using 1.5x + 1y = 330<BR>\n" );
document.write( "1.5x + 60 = 330<BR>\n" );
document.write( "1.5x = 330 - 60<BR>\n" );
document.write( "1.5x = 270<BR>\n" );
document.write( "x = 270/1.5<BR>\n" );
document.write( "x = 180 long-sl shirts<BR>\n" );
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document.write( "We have one solution: x = 180; y = 60; z = 100; will utilize total capacity<BR>\n" );
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document.write( "Check solution in the sewing equatioon<BR>\n" );
document.write( "1.2(180) + .9(60) + .6(100) = <BR>\n" );
document.write( "216 + 54 + 60 = 330 hr<BR>\n" );
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document.write( "You can check the solution in the cutting equation:<BR>\n" );
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