document.write( "Question 250939: Snookers lumber can covert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $25 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $10,815\r
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Algebra.Com's Answer #184388 by drk(1908) $\"\"$ $\"About$

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First, let plywood = P and lumber = L.
\n" ); document.write( "In a given day, the mill turns out twice as many units of plywood as lumber.
\n" ); document.write( "This translates to
\n" ); document.write( "(i) $\"P+=+2L\"$ .
\n" ); document.write( "It makes a profit of $25 on a unit of lumber and $40 on a unit of plywood.
\n" ); document.write( "this translated to a profit function of
\n" ); document.write( "profit = 25L + 40P.
\n" ); document.write( "profit = $10,815.
\n" ); document.write( "Putting these two together we get
\n" ); document.write( "(ii) $\"10815+=+25L+%2B+40P\"$
\n" ); document.write( "By substitution of (i) into (ii), we get
\n" ); document.write( "(iii) $\"25L+%2B+80L+=+10%2C815\"$
\n" ); document.write( "solving for L, we get
\n" ); document.write( " $\"L+=+103\"$
\n" ); document.write( "This means that
\n" ); document.write( " $\"P+=+206\"$ \r
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