document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129761>Question 1129761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two principal ingredients in the mixture, both sources of protein: x1 and X2. The first source of protein X1 costs &#8369;30 a pound and the second, x2 costs &#8369;60 per pound. Chemical constraints dictate that the mixture contains not more than 4,000 pounds of X1 and must contain at least 2,000 pounds of X2. How many pounds of each ingredient must be utilized in order to minimize the cost? X1 is _____, X2 is _____, cost is _____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746368 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=746368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two principal ingredients in the mixture, both sources of protein: x1 and X2. The first source of protein X1 costs &#8369;30 a pound and the second, x2 costs &#8369;60 per pound. Chemical constraints dictate that the mixture contains not more than 4,000 pounds of X1 and must contain at least 2,000 pounds of X2.<BR>\n" );
document.write( "Objective Function: Cost = 30X1 + 60X2<BR>\n" );
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document.write( "0<= X1 <= 4000<BR>\n" );
document.write( "2000<= X2<BR>\n" );
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document.write( "Sketch the acceptable region limits: let X1 be the vertical axis;let X2 be the horizontal axis.<BR>\n" );
document.write( "Sketch the horizontal line limit X1 = 4000<BR>\n" );
document.write( "Sketch the vertical line limit X2 = 2000<BR>\n" );
document.write( "Note: These line limits do not form a closed area.<BR>\n" );
document.write( "Vertices to check in the Objective Function:: (2000,0);(2000,4000)<BR>\n" );
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document.write( "Using (2000,0) you get Cost = 30*0+60*2000 = $120000 (smaller cost)<BR>\n" );
document.write( "Using (2000,4000) you get Cost = 30*2000+60*4000 = $300000<BR>\n" );
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document.write( "How many pounds of each ingredient must be utilized in order to minimize the cost? X1 is 0__, X2 is 2000, cost is $120,000_____<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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