SOLUTION: Could someone please show me how to solve this problem? Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many unit

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Could someone please show me how to solve this problem? Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many unit      Log On


   

Question 435232: Could someone please show me how to solve this problem?
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 $17160
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 $17160
------------------------------
Quantity Eq::: P = 3L
Profit Eq::: 45P + 30L = 17160
--------------------------
Substitute for "P" and solve for "L":
45(3L) + 30L = 17160
135L + 30L = 17160
165L = 17160
L = 104 (# of units of lumber to be produced)
---
Solve for "P":
P = 3L
P = 3(104) = 312 (# of units of plywood to be produced)
===================
Cheers,
Stan H.
===================