document.write( "Question 342936: Snookers lumber can convert 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 $20 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 $10,100 \n" ); document.write( "

Algebra.Com's Answer #245442 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = units of lumber / day converted
\n" ); document.write( "Let $\"b\"$ = units of plywood / day converted
\n" ); document.write( "given:
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"20a\"$ = profit from $\"a\"$ units of plywood / day
\n" ); document.write( " $\"40b\"$ = profit from $\"b\"$ units of lumber / day
\n" ); document.write( "---------------
\n" ); document.write( " $\"20a+%2B+40b+=+10100\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"20a+%2B+40%2A2a+=+10100\"$
\n" ); document.write( " $\"100a+=+10100\"$
\n" ); document.write( " $\"a+=+101\"$
\n" ); document.write( "And, by substitution,
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"b+=+202\"$
\n" ); document.write( "101 units of lumber and 202 units of plywood per day must
\n" ); document.write( "be produced to make a profit of $10,100.
\n" ); document.write( "check answer:
\n" ); document.write( " $\"20a+%2B+40b+=+10100\"$
\n" ); document.write( " $\"20%2A101+%2B+40%2A202+=+10100\"$
\n" ); document.write( " $\"2020+%2B+8080+=+10100\"$
\n" ); document.write( " $\"10100+=+10100\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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