document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159787>Question 159787</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0918091802/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please I have put this question up several times and no one has given me an answer.\r<BR>\n" );
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document.write( "A manufacturer produces two models of the same toy, Model A and Model B. Model A takes 4 hours to produce and costs $8 each. Model B takes 3 hours to produce and costs $7 each. If the manufacturer allots a total of 5800 hours and $12,600 for production each week, how many of each model will be produced? \r<BR>\n" );
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document.write( "Please show the steps.  Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117848 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=117848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer produces two models of the same toy, Model A and Model B. Model A takes 4 hours to produce and costs $8 each. Model B takes 3 hours to produce and costs $7 each. If the manufacturer allots a total of 5800 hours and $12,600 for production each week, how many of each model will be produced? <BR>\n" );
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document.write( "Let A = no. of A model toys, Let B = no. of Model toys<BR>\n" );
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document.write( "Write an hours equation from the given information<BR>\n" );
document.write( "4A + 3B = 5800<BR>\n" );
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document.write( "Write a cost equation also<BR>\n" );
document.write( "8A + 7B = 12600<BR>\n" );
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document.write( "We can use elimination here, <BR>\n" );
document.write( "Multiply the hours equation by 2, subtract from the cost equation:<BR>\n" );
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document.write( "8A + 7B = 12600<BR>\n" );
document.write( "8A + 6B = 11600<BR>\n" );
document.write( "------------------subtraction eliminates A, find B<BR>\n" );
document.write( "0A + 1B = 1000<BR>\n" );
document.write( "B = 1000 ea B models can be produced<BR>\n" );
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document.write( "Find A using the hrs equation:<BR>\n" );
document.write( "4A + 3(1000) = 5800<BR>\n" );
document.write( "4A + 3000 = 5800<BR>\n" );
document.write( "4A = 5800 - 3000<BR>\n" );
document.write( "4A = 2800<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2800%2F4 ALIGN=MIDDLE  ALT=\"2800%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 700 A models can be produced. <BR>\n" );
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document.write( "Check solutions in the cost equation<BR>\n" );
document.write( "8(700) + 7(1000) = <BR>\n" );
document.write( "5600 + 7000 = 12600; confirms our solution<BR>\n" );
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document.write( "How about this? Were the steps understandable to you?<BR>\n" );
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