Question 204982: Can you please help me with this problem, I have tried to follow the steps of elimination but i get stuck when I have to solve y by multiplying on each side. thank you.
Johns 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 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 $12360?
Johns lumber must produce and sell how many units of lumber, and how many units of plywood to make a profit of $12,360
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Johns 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 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 $12360?
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Equations:
Quantity: P = 2L
Profit::: 50P + 20L = 12360
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Substitute for P to solve for L:
50(2L) + 20L = 12360
120L = 12360
L = 103 (# of units of lumber produced)
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Then P = 2L = 206 (# of units of plywood produced)
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Cheers,
Stan H.
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