document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63599>Question 63599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help!<BR>\n" );
document.write( "Nutts nuts has 75lbs of chashew and 120lbs of peanuts.  These are to be mixed in 1 pound packages as follows:a low grade mixture that contains 4ounces of cashew and 12ounces of peanuts.  High grade mixture contains 8 ounces of cashew and 8 ounces of peanuts.  On the low-grade mixture a profit of $0.25 a package is to be made while the high-grade mixture profit is to be $0.45 a package.  How many packges of each mixture should be made to botain a maximum profit?<BR>\n" );
document.write( "x=# of packages of low grade mixture<BR>\n" );
document.write( "y=# of package of high grade mixture<BR>\n" );
document.write( "The profit P is given by the linear equation<BR>\n" );
document.write( "p=($0.25)x + ($0.45)y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44329 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=44329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nutts nuts has 75lbs of chashew and 120lbs of peanuts. These are to be mixed in 1 pound packages as follows:a low grade mixture that contains 4ounces of cashew and 12ounces of peanuts. High grade mixture contains 8 ounces of cashew and 8 ounces of peanuts. On the low-grade mixture a profit of $0.25 a package is to be made while the high-grade mixture profit is to be $0.45 a package. How many packges of each mixture should be made to botain a maximum profit?<BR>\n" );
document.write( "x=# of packages of low grade mixture<BR>\n" );
document.write( "y=# of package of high grade mixture<BR>\n" );
document.write( "The profit P is given by the linear equation<BR>\n" );
document.write( "p=($0.25)x + ($0.45)y<BR>\n" );
document.write( "Nutts nuts has 75lbs of chashew and 120lbs of peanuts. These are to be mixed in 1 pound packages as follows:a low grade mixture that contains 4ounces of cashew and 12ounces of peanuts. High grade mixture contains 8 ounces of cashew and 8 ounces of peanuts. On the low-grade mixture a profit of $0.25 a package is to be made while the high-grade mixture profit is to be $0.45 a package. How many packges of each mixture should be made to botain a maximum profit?<BR>\n" );
document.write( "x=# of packages of low grade mixture<BR>\n" );
document.write( "y=# of package of high grade mixture<BR>\n" );
document.write( "The profit P is given by the linear equation<BR>\n" );
document.write( "p=($0.25)x + ($0.45)y<BR>\n" );
document.write( "Nutts nuts has 75lbs of chashew and 120lbs of peanuts. These are to be mixed in 1 pound packages as follows:a low grade mixture that contains 4ounces of cashew and 12ounces of peanuts. High grade mixture contains 8 ounces of cashew and 8 ounces of peanuts. On the low-grade mixture a profit of $0.25 a package is to be made while the high-grade mixture profit is to be $0.45 a package. How many packges of each mixture should be made to botain a maximum profit?<BR>\n" );
document.write( "x=# of packages of low grade mixture<BR>\n" );
document.write( "y=# of package of high grade mixture<BR>\n" );
document.write( "The profit P is given by the linear equation<BR>\n" );
document.write( "p=($0.25)x + ($0.45)y<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Chashew equation: <BR>\n" );
document.write( "(4/16)x+(8/16)y=75<BR>\n" );
document.write( "4x+8y=1200<BR>\n" );
document.write( "x+2y=300<BR>\n" );
document.write( "y=(-1/2)x+150<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Peanut equation:<BR>\n" );
document.write( "(12x/16)+(8y/16)=120<BR>\n" );
document.write( "12x+8y=1920<BR>\n" );
document.write( "3x+2y=480<BR>\n" );
document.write( "y=(-3/2)x+240<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Find the intersection of the Cashew and the Peanut equations.<BR>\n" );
document.write( "(-1/2)x+120=(-3/2)x+240<BR>\n" );
document.write( "x=120<BR>\n" );
document.write( "Solve for y.<BR>\n" );
document.write( "y=(-1/2)x+150<BR>\n" );
document.write( "y=(-1/2)(120)+150<BR>\n" );
document.write( "y=90<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Check the Profit equation for its maximum at (0,150)(0,240)(120,90)<BR>\n" );
document.write( "At (0,240): Profit = 0.25(0)+0.45(240)=$108.00<BR>\n" );
document.write( "At (120,90): Profit = 0.25(120)+0.45(90)=$70.50<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Conclusion:  Skip production of the low grade; make 240 of the high grade pks.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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