document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415649>Question 415649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Snookers Lumber can convert logs into either lumber or plywood. In a given day the mill turn out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced or sold to make a profit of 18540 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291360 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L = number of logs<BR>\n" );
document.write( "P = number of units of plywood\r<BR>\n" );
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document.write( "in a given day, snookers puts out 3 times as many units of plywood as lumber.\r<BR>\n" );
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document.write( "you get P = 3*L\r<BR>\n" );
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document.write( "profit on lumber = $30 per unit<BR>\n" );
document.write( "profit on unit of plywood = $50 per unit.\r<BR>\n" );
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document.write( "total profit = 18540\r<BR>\n" );
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document.write( "profit equation is:\r<BR>\n" );
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document.write( "30*L + 50*P = 18540\r<BR>\n" );
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document.write( "you know that P = 3*L\r<BR>\n" );
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document.write( "substitute 3*L for P in the profit equation to get:\r<BR>\n" );
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document.write( "30*L + 50*3*L = 18540\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "30*L + 150*L = 18540\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "180*L = 18540\r<BR>\n" );
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document.write( "divide both sides of equaton by 180 to get:\r<BR>\n" );
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document.write( "L = 103\r<BR>\n" );
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document.write( "number of logs is equal to 103.\r<BR>\n" );
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document.write( "original profit equation is:\r<BR>\n" );
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document.write( "30*L + 50*P = 18540\r<BR>\n" );
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document.write( "substitute 103 for L to get:\r<BR>\n" );
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document.write( "30*103 + 50*P = 18540\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "3090 + 50*P = 18540\r<BR>\n" );
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document.write( "subtract 3090 from both sides of equation to get:\r<BR>\n" );
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document.write( "50*P = 15450\r<BR>\n" );
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document.write( "divide both sides of equation by 50 to get:\r<BR>\n" );
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document.write( "P = 309\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "L = 103<BR>\n" );
document.write( "P = 309\r<BR>\n" );
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document.write( "original profit equation is:\r<BR>\n" );
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document.write( "30*L + 50*P = 18540\r<BR>\n" );
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document.write( "substitute for L and P to get:\r<BR>\n" );
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document.write( "30*103 + 50*309 = 18540\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "3090 + 15450 = 18540\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "18540 = 18540 which is true confirming the numbers are good.\r<BR>\n" );
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document.write( "Snookers Lumber must produce 103 logs and 309 units of plywood to make a profit of 18540\r<BR>\n" );
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document.write( "103*30 = 3090<BR>\n" );
document.write( "309*50 = 15450<BR>\n" );
document.write( "total profit = 18540\r<BR>\n" );
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document.write( " </SPAN>\n" );
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