document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346814>Question 346814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin.  A baker has 25 pounds of wheat and 5 pounds of sugar.  To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar.  To bake each muffin, the baker needs 0.4 pound of wheat and 0.15 pound of sugar.<BR>\n" );
document.write( "    a.    Set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).<BR>\n" );
document.write( "    b.    If each loaf of bread is sold for $2.50, and each muffin is sold for $1.15, define an equation to represent the baker's profit function.<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 #248003 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_1\"> represent the number of loaves of bread.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_2\"> represent the number of muffins.\r<BR>\n" );
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document.write( "a) Constraints:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 1.3x_1\ +\ 0.4x_2\ \leq\ 25\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0.5x_1\ +\ 0.15x_2\ \leq\ 5\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x_1\ \geq\ 0\"> (you can't make a negative number of loaves)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x_2\ \geq\ 0\"> (you can't make a negative number of muffins)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x_1,\,x_2\ \in\ \mathbb{Z}\"> (you can't make fractional parts of loaves or muffins)\r<BR>\n" );
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document.write( "b) Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large c_1\"> represent the cost of manufacturing a loaf of bread.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large c_2\"> represent the cost of manufacturing a muffin.  Then the profit function would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ z\ =\ \left(2.5\ -\ c_1\right)x_1\ +\ \left(1.15\ -\ c_2\right)x_2\">\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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