Question 328077: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times 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 $15300??
How many units of lumber and how many units of plywood are needed to be sold to reach the profit??
Answer by jessica43(140)   (Show Source):
You can put this solution on YOUR website! To solve this problem, you are going to have to write 2 equations using what you know.
First, you know that the mill turns out 3 times as many units of plywood as lumber. This can be written as:
P = 3L (where P = units of plywood, L = units of lumber)
Second, you know that it makes a profit of $30 on a unit of lumber and $40 on a unit of plywood and you want the total profit to equal $15300. So:
30L + 40P = 15300
Now you can plug the first equation into the second equation and solve for L:
30L + 40P = 15300
30L + 40(3L) = 15300
30L + 120L = 15300
150L = 15300
L = 102
So 102 units of lumber must be produced and sold.
To find the number of plywood units, plug this into the first equation:
P = 3L
P = 3(102)
P = 306
So 306 units of plywood must be produced and sold.
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