document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189900>Question 1189900</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 #822188 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let the number of BW manufactured be represented by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\"> and the number of SB manufactured be represented by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_2\">, then the profit function must be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 170x_1\ +\ 140x_2\">\r<BR>\n" );
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document.write( "Since there are at most 300 units of raw material, constraint 1 is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 10x_1\ +\ 6x_2\ \leq\ 300\">\r<BR>\n" );
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document.write( "Since there are at most 44 time units, constraint 2 is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\ +\ 2x_2\ \leq\ 44\">\r<BR>\n" );
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document.write( "Since you cannot make a negative number of anything, constraints 3 and 4 are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\ \geq\ 0\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_2\ \geq\ 0\">\r<BR>\n" );
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document.write( "Graph the four constraint inequalities on an <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1x_2\"> coordinate axes.  The four solution sets will overlap in a quadrilateral that represents the feasibility area for the problem. One of the vertices of the quadrilateral will be the optimum solution.  Test each of the vertices in the profit function and select the set of values that provides the maximum profit.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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