document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251753>Question 251753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> snookers Lumber can convert logs into either lumber or plywood.  In a given day, the mill turns out three times as many units of plywood as lumber.  it makes a profit of $20 on a unit of lumber and $50 on a unit of plywood.  How many of each unit must be produced and sold in order to make a profit of $17680?\r<BR>\n" );
document.write( "\n" );
document.write( "Snookers Lumber must produce and sell _ units of lumber and _ units of plywood to make a profit of $15680.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A disc jockey must play 12 commercial spots during 1 hour of a radio show.  Each commercial is either 30 seconds or 60 seconds long.  If the total commercial time during 1 hour is 8 min, how many 30-second commercials were played that hour?  How many 60-second commercials? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183432 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=183432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $20 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $15680? <BR>\n" );
document.write( "Snookers Lumber must produce and sell _ units of lumber and _ units of plywood to make a profit of $15680.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Value Equation: 20L + 50P = 17680<BR>\n" );
document.write( "Quantity Eq::::  P = 3L<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute for \"P\" and solve for \"L\":<BR>\n" );
document.write( "20L + 50*3L = 15680<BR>\n" );
document.write( "20L + 150L = 15680<BR>\n" );
document.write( "70L = 15680<BR>\n" );
document.write( "L = 224 (# of units of lumber produced and sold)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P = 3L ; P = 3*224 = 672 (# of units of plywood produced and sold)<BR>\n" );
document.write( "=======================================================================\r<BR>\n" );
document.write( "\n" );
document.write( "A disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 8 min, how many 30-second commercials were played that hour? How many 60-second commercials?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "T + S = 12<BR>\n" );
document.write( "30T + 60S = 8*60 seconds<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "T = 12-S<BR>\n" );
document.write( "Substitute for T and solve for \"S\":<BR>\n" );
document.write( "30(12-S) + 60S = 8*60<BR>\n" );
document.write( "30*12 - 30S + 60S = 8*60<BR>\n" );
document.write( "30S = 480-360<BR>\n" );
document.write( "30S = 120<BR>\n" );
document.write( "S = 4 (# of sixty seconds commercials)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since T = 12-S, T = 8 (@ of thirty second commercials)<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );