document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35573>Question 35573</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/061849281x/algebrahomeworkh>0-618-49281-x</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thanks for your help---<BR>\n" );
document.write( "A company makes two models of a product. The times (in hours) required for assembling, painting, and packaging are as follows:<BR>\n" );
document.write( "assembly (model a takes 2.5) (model b takes 3)<BR>\n" );
document.write( "painting (moel a takes 2)(model b takes 1)<BR>\n" );
document.write( "packaging (model a takes .75)(model b takes 1.25)<BR>\n" );
document.write( "The total times available for assembling, paiting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively. The profits per unit are $50 for model A and $52 for model B. How many of each should be made to obtain a maximum profit?   I have a final Wed if you can help thank you thank you  :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21737 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=21737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you sure you have the data correct?<BR>\n" );
document.write( "Inequalities based on your posted data give:<BR>\n" );
document.write( "2.5a+3b<=4000<BR>\n" );
document.write( "2a+b<=2500<BR>\n" );
document.write( "0.5a+1.25b<=1500<BR>\n" );
document.write( "Plotting these you get a triangle <BR>\n" );
document.write( "with two vertices belog the \"a\" axis indicating<BR>\n" );
document.write( "negative production of model \"b\".<BR>\n" );
document.write( "Only one axis has a meaningful interpretation,<BR>\n" );
document.write( "i.e. (1000,0)<BR>\n" );
document.write( "Indicating production of 1000 model \"a\" and no \"b\"<BR>\n" );
document.write( "That would give a profit of 1000(50) = $50,000 \r<BR>\n" );
document.write( "\n" );
document.write( "Does this sound reasonable?<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );