document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65474>Question 65474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ok this is a problem on linear programming\r<BR>\n" );
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document.write( "Superbats makes two kinds of bats. The wallbanger takes 8 hours to trim and turn on and 2 hours to finish. it has a profit of 17 dollars. the dingbat takes five hours to trim and turn on and 5 hours to finish. it has a profit of 29 dollars. the total time per day available is in 80 hours. there are 50 hours available for finishing. what combination of bats will maximize profit </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45995 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=45995\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Superbats makes two kinds of bats.<BR>\n" );
document.write( " The wallbanger takes 8 hours to trim and turn on and 2 hours to finish. it has a profit of 17 dollars. <BR>\n" );
document.write( "the dingbat takes five hours to trim and turn on and 5 hours to finish. it has a profit of 29 dollars. <BR>\n" );
document.write( "the total time per day available is in 80 hours.<BR>\n" );
document.write( " there are 50 hours available for finishing.<BR>\n" );
document.write( "Comment: This combination of hours may be incorrect.<BR>\n" );
document.write( "It implies 50 hrs for finishing and 30 hours for trim and turn.<BR>\n" );
document.write( "The result is an indeterminate solution area as you can see<BR>\n" );
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document.write( "what combination of bats will maximize profit<BR>\n" );
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document.write( "Let w be the # of wallbangers produced<BR>\n" );
document.write( "Let d be the # of dingbats produced<BR>\n" );
document.write( "w>=0 ; d>=0<BR>\n" );
document.write( "Trim/turn Equation: 8w+5d<=80-50=30<BR>\n" );
document.write( "Finish Equation: 2w+5d<=50<BR>\n" );
document.write( "Profit Equation: P=17w+29d<BR>\n" );
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document.write( "Solve each inequality for w, as follows:<BR>\n" );
document.write( "w<=(-5/8)d+15/4<BR>\n" );
document.write( "w<=(-5/2)d+25<BR>\n" );
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document.write( "Graph the inequalities in the 1st quadrant:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C30%2C-5%2C30%2C%28-5%2F8%29x%2B%2815%2F4%29%2C%28-5%2F2%29x%2B25%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-5%2C30%2C-5%2C30%2C%28-5%2F8%29x%2B%2815%2F4%29%2C%28-5%2F2%29x%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "No solution is possible with this data.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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