document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462257>Question 462257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem. A manufacturer produces three products : A,B and C. the profit for each unit sold of A,B and C are $1,$2 and $3 , respectively. Fixed cost are $17,000 per year and the cost of producing each unit of A,B and C are $4,$5 and $7, respectively. Next Year, a total of 11,000 units of all three products is to be produced and sold, and a total profit of $25,000 is to be realized. If total cost is to be $80,000 , how many units of each of the products should be produced next year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316987 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=316987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem. A manufacturer produces three products : A,B and C. the profit for each unit sold of A,B and C are $1,$2 and $3 , respectively. Fixed cost are $17,000 per year and the cost of producing each unit of A,B and C are $4,$5 and $7, respectively. Next Year, a total of 11,000 units of all three products is to be produced and sold, and a total profit of $25,000 is to be realized. If total cost is to be $80,000 , how many units of each of the products should be produced next year?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A+B+C=11000 (Total number of units to be produced and sold)<BR>\n" );
document.write( "4A+5B+7C+17000=80000 (Total cost)<BR>\n" );
document.write( "A+2B+3C=25000 (Profit)<BR>\n" );
document.write( "We now have 3 equations with which we can solve for units of A, B, & C<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1)A+B+C=11000<BR>\n" );
document.write( "2)4A+5B+7C=63000<BR>\n" );
document.write( "3)A+2B+3C=25000<BR>\n" );
document.write( "subtract eq 1 fm eq 3<BR>\n" );
document.write( "4)B+2C=14000<BR>\n" );
document.write( "..<BR>\n" );
document.write( "multiply eq 3 by 4<BR>\n" );
document.write( "5)4A+8B+12C=100000<BR>\n" );
document.write( "2)4A+5B+7C=63000<BR>\n" );
document.write( "subtract eq 2 fm eq 5<BR>\n" );
document.write( "6)3B+5C=37000<BR>\n" );
document.write( "multiply eq 4 by 3<BR>\n" );
document.write( "7)3B+6C=42000<BR>\n" );
document.write( "subtract eq 6 fm 7<BR>\n" );
document.write( "C=5000<BR>\n" );
document.write( "solving for B<BR>\n" );
document.write( "6)3B+5C=37000<BR>\n" );
document.write( "3B+5(5000)=37000<BR>\n" );
document.write( "3B=37000-25000=12000<BR>\n" );
document.write( "B=4000<BR>\n" );
document.write( "solving for A<BR>\n" );
document.write( "1)A+B+C=11000<BR>\n" );
document.write( "A+4000+5000=11000<BR>\n" );
document.write( "A=11000-9000=2000<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "2)4A+5B+7C=63000<BR>\n" );
document.write( "8000+20000+35000=63000 (check)<BR>\n" );
document.write( "3)A+2B+3C=25000<BR>\n" );
document.write( "2000+8000+15000=25000 (check)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Answers:<BR>\n" );
document.write( "Units should be produced next year:<BR>\n" );
document.write( "A=2000<BR>\n" );
document.write( "B=4000<BR>\n" );
document.write( "C=5000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );