SOLUTION: 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 l

Algebra ->  Sequences-and-series -> SOLUTION: 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 l      Log On


   



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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = units of lumber / day converted
Let b = units of plywood / day converted
given:
b+=+2a
20a = profit from a units of plywood / day
40b = profit from b units of lumber / day
---------------
20a+%2B+40b+=+10100
By substitution:
20a+%2B+40%2A2a+=+10100
100a+=+10100
a+=+101
And, by substitution,
b+=+2a
b+=+202
101 units of lumber and 202 units of plywood per day must
be produced to make a profit of $10,100.
check answer:
20a+%2B+40b+=+10100
20%2A101+%2B+40%2A202+=+10100
2020+%2B+8080+=+10100
10100+=+10100
OK