document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201129>Question 1201129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate a system of equations for the situation below and solve.\r<BR>\n" );
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document.write( "A manufacturer of women's blouses makes three types of blouses: sleeveless, short-sleeve, and long-sleeve. The time (in minutes) required by each department to produce a dozen blouses of each type is shown in the following table.<BR>\n" );
document.write( "		            Sleeveless             Short-Sleeve           Long Sleeve\r<BR>\n" );
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document.write( "Cutting	                       9	                 12	                      15<BR>\n" );
document.write( "Sewing	                    22	                 24	                       28<BR>\n" );
document.write( "Packaging                     6	                          8	                        8\r<BR>\n" );
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document.write( "The cutting, sewing, and packaging departments have available a maximum of 73.5, 150, and 44 labor-hours, respectively, per day. How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity?<BR>\n" );
document.write( "sleeveless:     	dozen<BR>\n" );
document.write( "short-sleeve:    dozen<BR>\n" );
document.write( "long-sleeve:     dozen<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 #835396 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Formulate a system of equations for the situation below and solve.<BR>\n" );
document.write( "A manufacturer of women's blouses makes three types of blouses: sleeveless, short-sleeve, <BR>\n" );
document.write( "and long-sleeve. The time (in minutes) required by each department <BR>\n" );
document.write( "to produce a dozen blouses of each type is shown in the following table.<BR>\n" );
document.write( "          Sleeveless  Short-Sleeve  Long Sleeve<BR>\n" );
document.write( "Cutting       9           12            15<BR>\n" );
document.write( "Sewing       22           24            28<BR>\n" );
document.write( "Packaging     6            8             8<BR>\n" );
document.write( "The cutting, sewing, and packaging departments have available a maximum <BR>\n" );
document.write( "of 73.5, 150, and 44 labor-hours, respectively, per day. <BR>\n" );
document.write( "How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity?<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let x be the number of sleeveless   blouses (dozen);\r\n" );
document.write( "    y be the number of short-sleeve blouses (dozen);\r\n" );
document.write( "    z be the number of long-sleeve  blouses (dozen).\r\n" );
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    9x + 12y + 15z = 73.5*60 = 4410  minutes\r\n" );
document.write( "   22x + 24y + 28z = 150*60  = 9000  minutes\r\n" );
document.write( "    6x +  8y +  8z =  44*60  = 2640  minutes.\r\n" );
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document.write( "    Use the matrix equations solver in your calculator   \r\n" );
document.write( "    and get the  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28ANSWER%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28ANSWER%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  in the next instance \r\n" );
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document.write( "      x= 120 dozen;  y= 90 dozen;  z= 150 dozen.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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