document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23072>Question 23072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need to do problem on linear programming and answer all those questions bellow the problem. This is a problem:                                         A manufacturer produces two kinds of radios.<BR>\n" );
document.write( "Model X takes 4 hours to produce, cost $8 in production, and sells for $15<BR>\n" );
document.write( "Model Y takes 3 hours to produce, cost $7 in production, and sells for $12<BR>\n" );
document.write( "If manufacture allots a total of 58 hours and $126 per week to produce radios, find his maximum income. How many of each model will produce this maximum profit?\r<BR>\n" );
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document.write( "X stands for: I think x stand for number model X radios will produces \r<BR>\n" );
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document.write( "Y stands for: I think y number model Y radios will produces\r<BR>\n" );
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document.write( "Constraint Equations:<BR>\n" );
document.write( "8x+ 7y\r<BR>\n" );
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document.write( "15x+12y<BR>\n" );
document.write( "I think if I know how to create equation then I will be able to to graphs\r<BR>\n" );
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document.write( "Objective Function:\r<BR>\n" );
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document.write( "Corner Coordinates:\r<BR>\n" );
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document.write( "Work shown in checking Coordinates:\r<BR>\n" );
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document.write( "Correct answer in a sentence\r<BR>\n" );
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document.write( "Graph<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 #11507 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon%21><B>stanbon!(97)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon%21><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=11507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Regarding your constraint equations:<BR>\n" );
document.write( " 8x+7y is a production cost expression.  The equation<BR>\n" );
document.write( "you want is 8x+7y<=126<BR>\n" );
document.write( "You also need a production time eqation:<BR>\n" );
document.write( " 4x + 3y <= 58<BR>\n" );
document.write( "Also x>=0 and y>=0<BR>\n" );
document.write( "The Objective Function is an Income statement:<BR>\n" );
document.write( "Income or I = 15x + 12y <BR>\n" );
document.write( "Procedure:<BR>\n" );
document.write( "Graph the four constraint lines on a single pair of xy axes.<BR>\n" );
document.write( "The lines will form a triangle with two intersections on the<BR>\n" );
document.write( "y-axis and one where the production-cost and the production- <BR>\n" );
document.write( "time lines intersect.<BR>\n" );
document.write( "Find the three points of intersection.<BR>\n" );
document.write( "Put the (x,y) values into the objective function to determine<BR>\n" );
document.write( "under what production conditions you maximize your income and<BR>\n" );
document.write( "therefore your maximize profit.<BR>\n" );
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