SOLUTION: 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 lu
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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
Units of lumber ____? Units of plywood___? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! First, let plywood = P and lumber = L.
In a given day, the mill turns out twice as many units of plywood as lumber.
This translates to
(i) .
It makes a profit of $25 on a unit of lumber and $40 on a unit of plywood.
this translated to a profit function of
profit = 25L + 40P.
profit = $10,815.
Putting these two together we get
(ii)
By substitution of (i) into (ii), we get
(iii)
solving for L, we get
This means that
(