Question 137867: A lumber company can convert logs into plywood or lumber. The mill turns out twice as many units of plywood as lumber. It makes a profit of $25 on a unit lumber and $50 on a unit of plywood. How many of each unit must be produced in order to make a profit of $12750?
The lumber company must produce and sell ?? units of lumber and ?? units of plywood to make a profit of $12750.
I am so bad with word problems also, can someone help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The mill turns out twice as many units of plywood as lumber.
p = 2L
-------------
It makes a profit of $25 on a unit lumber and $50 on a unit of plywood.
How many of each unit must be produced in order to make a profit of $12750?
50P + 25L = 12750
The lumber company must produce and sell ?? units of lumber and ?? units of plywood to make a profit of $12750.
-------------------------------
You have two equations:
Substitute the 1st into the 2nd to get:
50*2L + 25L = 12750
125L = 12750
L = 102 (# of units of lumber)
p = 2L = 204 (# of units of plywood)
===========================
Cheers,
Stan H.
|
|
|
