SOLUTION: 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

Question 277788: 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 $45 on a unit of plywood. How manyof each unit must be produced and sold in order to make a profit of 16665.?
Answer by ankor@dixie-net.com(22740) (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 three times as many units of plywood as lumber.
It makes a profit of $30 on a Unit of lumber and $45 on a unit of plywood.
How many of each unit must be produced and sold in order to make a profit of 16665.?:
Let L = no. of units of lumber
Let P = no. of units of plywood
:
"In a given day,the mill turns out three times as many units of plywood as lumber."
P = 3L
:
"It makes a profit of $30 on a Unit of lumber and $45 on a unit of plywood.
How many of each unit must be produced and sold in order to make a profit of 16665.?"
30L + 45P = 16665
Replace P with 3L
30L + 45(3L) = 16665
30L + 135L = 16665
165L = 16665
L =
L = 101 units of lumber
then
3(101) = 303 units of plywood
;
:
Check solution
30(101) + 45(303) =
3030 + 13635 = 16665

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