document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033319>Question 1033319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of flour. A tray of banana muffins takes 2 cups of milk and 3 cups of flour. A baker has 16 cups of milk and 15 cups of flour. Write a system of equations representing this situation. Solve the system of equations. \r<BR>\n" );
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document.write( "Use the following information to determine the number of trays of banana muffins to maximize the profit.\r<BR>\n" );
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document.write( "You will make $3 profit per tray of blueberry muffins and $2 profit per tray of banana muffins. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647883 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of flour. A tray of banana muffins takes 2 cups of milk and 3 cups of flour. <BR>\n" );
document.write( "A baker has 16 cups of milk and 15 cups of flour.<BR>\n" );
document.write( "Write a system of equations representing this situation. Solve the system of equations. <BR>\n" );
document.write( "Use the following information to determine the number of trays of banana muffins to maximize the profit. <BR>\n" );
document.write( "You will make $3 profit per tray of blueberry muffins and $2 profit per tray of banana muffins.<BR>\n" );
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document.write( "Milk function:: 4u + 2n <= 16<BR>\n" );
document.write( "Flour function: 3u + 3n <= 15<BR>\n" );
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document.write( "Graph:: u <= -(1/2)n + 4<BR>\n" );
document.write( "Graph:: u <= -n + 5<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B4%2C-x%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B4%2C-x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the point of intersection::<BR>\n" );
document.write( "-(1/2)n + 4 = -n + 5<BR>\n" );
document.write( "(1/2)n = 1<BR>\n" );
document.write( "If n = 2; then u = 3<BR>\n" );
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document.write( "(n,u) Vertices:: (0,4),(5,0),(2,3)<BR>\n" );
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document.write( "Evaluate Profit at the vertices::<BR>\n" );
document.write( "Profit function:: P = 2n + 3u <BR>\n" );
document.write( "(0,4) gives P =  2*0 + 3*4 = 12<BR>\n" );
document.write( "(5,0) gives P = 2*5 + 3*0 = 10<BR>\n" );
document.write( "(2,3) gives P = 2*2 + 3*4 = 16<BR>\n" );
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document.write( "Max Profit comes with 2 banana and 3 blueberry<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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