document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189901>Question 1189901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7. The top two dolls that a toy manufacturer makes are called Baby Wiggles and<BR>\n" );
document.write( "Sleepy Baby. To make a case of Baby Wiggles takes 10 units of raw material<BR>\n" );
document.write( "and I unit of time to assemble. To make a case of Sleepy Baby takes 6 units of<BR>\n" );
document.write( "raw material and 2 units of time to assemble. On a given day the manufacturer<BR>\n" );
document.write( "has at most 300 units of raw material and 44 units of time. If the manufacturer<BR>\n" );
document.write( "makes a profit of $170 on each case of Baby Wiggles and $140 on each case<BR>\n" );
document.write( "of Sleepy Baby, how many cases of each type of doll should the manufacturer<BR>\n" );
document.write( "make in order to maximize profit?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821412 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</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=821412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7. The top two dolls that a toy manufacturer makes are called Baby Wiggles and<BR>\n" );
document.write( "Sleepy Baby. To make a case of Baby Wiggles takes 10 units of raw material<BR>\n" );
document.write( "and I unit of time to assemble. To make a case of Sleepy Baby takes 6 units of<BR>\n" );
document.write( "raw material and 2 units of time to assemble. On a given day the manufacturer<BR>\n" );
document.write( "has at most 300 units of raw material and 44 units of time. If the manufacturer<BR>\n" );
document.write( "makes a profit of $170 on each case of Baby Wiggles and $140 on each case<BR>\n" );
document.write( "of Sleepy Baby, how many cases of each type of doll should the manufacturer<BR>\n" );
document.write( "make in order to maximize profit?<BR>\n" );
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document.write( "I'd like to make a notice to a person who created this problem (to the problem's composer).\r<BR>\n" );
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document.write( "The problem is worded unnatural, when it says \r<BR>\n" );
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document.write( "    \"On a given day the manufacturer has at most 300 units of raw material\".\r\n" );
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document.write( "According to this formulation, the manufacturer may have 200, or 100 or 50 units of raw material<BR>\n" );
document.write( "at that particular day, but the reader CAN NOT know, what the manufacturer really has.\r<BR>\n" );
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document.write( "The correct formulation is\r<BR>\n" );
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document.write( "    (1)  \"On a given day the manufacturer has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28at_most%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28at_most%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 300 units of raw material\".\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Or in this way\r<BR>\n" );
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document.write( "    (2)  \"On a given day the manufacturer may use at most 300 units of raw material\".\r\n" );
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document.write( "Then the problem acquires a clear sense and a harmonious sounding.\r<BR>\n" );
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document.write( "You may ask, how in formulation (1) the inequality sign appears in constrains ?\r<BR>\n" );
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document.write( "The answer is very simple: because, having 300 units of the rowing material, the manufacturer <BR>\n" );
document.write( "may use not full amount.\r<BR>\n" );
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document.write( "Again, as presented, the problem formulation is defective and should be fixed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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