document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141898>Question 1141898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate but do not solve the following exercise as a linear programming problem.<BR>\n" );
document.write( "A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 380 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 3 mg of iron, 5 mg of vitamin C, and 4 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements of calcium, iron, and vitamin C are met?<BR>\n" );
document.write( "Minimize	    	C	 = 	    subject to the constraints<BR>\n" );
document.write( "calcium=				<BR>\n" );
document.write( "  <BR>\n" );
document.write( "iron	=			<BR>\n" );
document.write( "  <BR>\n" );
document.write( "vitamin C=				<BR>\n" );
document.write( "  <BR>\n" );
document.write( "x ≥ 0<BR>\n" );
document.write( "y ≥ 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762566 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of milligrams of food A.<BR>\n" );
document.write( "y = number of milligrams of food B.\r<BR>\n" );
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document.write( "you want to minimize the number of milligrams of cholesterol.\r<BR>\n" );
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document.write( "your objective function is therefore c = 4x + 5y\r<BR>\n" );
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document.write( "your constraint functions are:\r<BR>\n" );
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document.write( "calcium:\r<BR>\n" );
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document.write( "30x + 25y >= 380\r<BR>\n" );
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document.write( "iron:\r<BR>\n" );
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document.write( "3x + .5y >= 10\r<BR>\n" );
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document.write( "vitamin C:\r<BR>\n" );
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document.write( "5x + 5y >= 40\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );