Question

Snookers Lumber can convert 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 $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 $11,440?

Answer 1

my algebra checkpoint.

Answer 2

Okay lets do this

Answer 3

So first we let :
Let # of lumber units = "M"
Let # of plywood units = "P"

Answer 4

right

Answer 5

P = 3L correct?

Answer 6

Now we have to write, a quantity equation

Answer 7

thats almost right

Answer 8

what was the ratio again? 2:1

Answer 9

so, it should be: p = 2m

Answer 10

what does the m stand for?

Answer 11

check my above post

Answer 12

do you see it?

Answer 13

ah okay

Answer 14

Now, we right a value equation or an equation that relates the amount of dollars or money involved

Answer 15

basically what each item represent

Answer 16

25 L and 50 P

Answer 17

i was thinking something more like this

Answer 18

40p + (30)2m = 11,440 dollars

Answer 19

remeber that the plywood is 40 dollars per unit and the lumber is 30 dollars a unit

Answer 20

and what we are trying to obtain is 11400 dollars

Answer 21

right

Answer 22

now using our quantity equation, we substitute p=2m into our value equation

Answer 23

now we end up with: 40(2m) + 30*m = 11440

Answer 24

now all you have to do is evaluate that. Why dont you try doing that and tell me what you come up with, if you have any questions ask. Do it step by step

Answer 25

You had a 2 m in your previous equation. Might want to point out that you dropped that to avoid confusion.

Answer 26

Is that an exponent after the m?

Answer 27

no, multiplication sign

Answer 28

it like a variable, it is just 30m

Answer 29

okay, sorry don't have my "cheaters" on

Answer 30

what?

Answer 31

I don't think this is right. I have 80m + 30m = 11,440. That can't be right.

Answer 32

thats right

Answer 33

My "cheaters" are reading glasses...LOL

Answer 34

your picture is deceiving :)

Answer 35

I only wear glasses for tiny print.

Answer 36

so you have, 110m=11440 right?

Answer 37

right...

Answer 38

okay so solve for m

Answer 39

104

Answer 40

thats right

Answer 41

so lumber would be 104

Answer 42

now what did "m" represent?

Answer 43

right

Answer 44

now how do we solve for p (plywood)?

Answer 45

m = lumber

Answer 46

3 x 104

Answer 47

312?

Answer 48

remeber our quantity equation was p=2m, not p=2m

Answer 49

2 x 104?

Answer 50

208

Answer 51

correct

Answer 52

yes exactly, so when we produce 208 units of ply wood and 104 units of lumber we achieve a profit of 11440

Answer 53

awesome!!! Thank you

Answer 54

yw