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 $30 on a unit of
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Question 145687: 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 $30 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 $11330? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 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 $30 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 $11330?
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Let # of lumber units = "m"
Let # of plywood units = "p"
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Quantity Eq.: p = 2m
Value Eq: 40p + (30)2m = 11330 dollars
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Substitute:
40(2m) + 30*m = 11330
110m = 11330
m = 103 units (# of units of lumber produced)
p = 2m = 206 units (# of units of plywood produced)
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Cheers,
Stan H.
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