Question

Please, I need help with this linear algebra question.(Picture included)

Answer 1

x = Fixed Monthy
y = Number of Units Sold
C(x,y) = 48000x + 8y
R(x,y) = 14y

Answer 2

@Hero I understand, but the graphing part is the one I'm having trouble with

Answer 3

Well, no, that wouldn't work out too well.

Answer 4

I think you have to make two separate charts for each:

One for Cost and another for revenue

Answer 5

I mean, I have found out the cost, and revenue, plus the profit. I may need to revise my breakeven point. I have to make only one graph and put in two lines. One line which is the C(x) and the other line is the R(x)

Answer 6

And then superimpose them one on top of the other.

Answer 7

Yes, I know what you need.

Answer 8

It's just, I only got the Y-intercept= which is 48,000

Answer 9

It's the 8x and 14x I'm very confused about and I know they're in the X axis

Answer 10

I see what you did. The only thing is unless you're only doing it for one month, that may not work.

Answer 11

I'll have to look into it

Answer 12

Alright, take your time. I'll figure it out as well.

Answer 13

@Hero I found out that I did the breakeven point wrong.

Answer 14

Apparently for this, we're supposed to only assume one month of production

Answer 15

Yes.

Answer 16

So if you wrote
C(x) = 48,000 + 8x
R(x) = 14x

Then that was correct. The only thing is, you're going to need to sell a lot of units to break even the first month.

Answer 17

R(x) = C(x)
48000 + 8x = 14x

Answer 18

Yes. I wrote that. As I am looking to the answer, to check on the breakeven formula, there was 8000 units and $112,000, but I do not even know where those came from.

Answer 19

Always try algebraic solution first

Answer 20

Now you can graph, since you know what x is supposed to equal

Answer 21

Just make sure the graph matches your algebraic results

Answer 22

So we know we need to sell 6000 units to break even.

Answer 23

Right! I had to plug in 8000 to the x. Wow, I didn't even think of that.

Answer 24

It is 8000 units as included in the book.

Answer 25

Whoops... made an error. ugh

Answer 26

No problem.

Answer 27

48000 = (14 - 8)x
48000 = 6x
48000/6 = x
8000 = x

Answer 28

Yes. And now I plug in to the X and solve it.

Answer 29

I have no idea why I typed something else before.

Answer 30

It's alright.

Answer 31

The question asked you to graph it, that's why. But you should still try to solve algebraically whenever possible.

Answer 32

Yes. I'm trying it out right now.

Answer 33

I plugged it in, and I got $112,000 as the breakeven.

Answer 34

Good

Answer 35

Well, thanks a lot for the help. I really appreciate it. :)

Answer 36

They never mentioned it, but when you have something like this, you can only figure graph it for the first interval, which, in this case is one month. If you tried to do it for two months, the graph would no longer be linear.

Answer 37

Yes, that was confusing, it wasn't pretty clear to me what they wanted.

Answer 38

I was thrown off as well.

Answer 39

Yep. Spent at least an hour trying to figure this out before I came here for help.

Answer 40

Sorry I couldn't figure out sooner for you bro.

Answer 41

No, it's no problem at all. Thanks a lot though, really helped me out.

Answer 42

Okay