document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504627>Question 504627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate but do not solve the following exercise as a linear programming problem.<BR>\n" );
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document.write( "Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A requires 2 lb of cast iron and 7 min of labor. To produce each model B grate requires 4 lb of cast iron and 4 min of labor. The profit for each model A grate is $1.50, and the profit for each model B grate is $2.40. If 920 lb of cast iron and 1620 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day in order to maximize Kane's profits P? \r<BR>\n" );
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document.write( "P = ?   subject to the constraints \r<BR>\n" );
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document.write( "cast iron ?<BR>\n" );
document.write( "labor ?\r<BR>\n" );
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document.write( "x &#8805; 0 <BR>\n" );
document.write( "y &#8805; 0 <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 #339726 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B.<BR>\n" );
document.write( " To produce each model A requires 2 lb of cast iron and 7 min of labor. <BR>\n" );
document.write( "To produce each model B grate requires 4 lb of cast iron and 4 min of labor.<BR>\n" );
document.write( " The profit for each model A grate is $1.50, and the profit for each model B grate is $2.40.<BR>\n" );
document.write( " If 920 lb of cast iron and 1620 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day in order to maximize Kane's profits P? <BR>\n" );
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document.write( "The amt of cast iron constraint<BR>\n" );
document.write( "2x + 4y =< 920<BR>\n" );
document.write( "the labor constraint<BR>\n" );
document.write( "7x + 4y =< 1620<BR>\n" );
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document.write( "You can solve this by elimination, multiply those x,y values by profit on each </SPAN>\n" );
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