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# Sketching Graphs Sketch graphs for the relationships described

Sketching Graphs

Sketch graphs for the relationships described in each of the following problems and select one or more of the families of functions discussed in Section 4 to represent it.
1. The relationship between the effectiveness of a new drug and the amount spent on R&D.
2. The relationship between the cost of manufacturing a product and the cumulative quantity produced.
3. The relationship between the time it takes to complete a project and the number of people assigned to work on it.
4. The relationship between the probability the FDA will approve a given drug and the number of patients enrolled in the clinical trials of the drug.
5. The relationship between the sales of a given brand of cereal in a grocery store and the amount of shelf space devoted to displaying it.

Ray Atkinson :

Can you give me the list of functions given in Section 4?

Ray Atkinson :

What class is this for, also?

Customer:

System Modeling Theory.

Customer:

I'm listing out the list of functions.

Customer:

Linear Function, showing constant returns (positive or negative), y=a+bx.

Customer:

Power function with increasing returns, y=ax^b with b>1.

Ray Atkinson :

You can just name them, if they are the basic functions

Ray Atkinson :

Customer:

Exponetial function, representing decline and decay

Customer:

Power function

Customer:

The S-shaped curve

Customer:

Do you need anything else?

Ray Atkinson :

Ok, that is the list?

Customer:

Yes.

Ray Atkinson :

All right. Let me get on them.

Customer:

Okay. Thank you.

Ray Atkinson :

Do you need me to physically sketch them, or is a description for you to sketch them enough?

Customer:

Sorry I had to step away. I need aphysical sketch.

Customer:

Is there anything else?

Ray Atkinson :

I am working on it. I will draw them and scan them

Customer:

Thank you.

Ray Atkinson :

1. S-shaped. Small expenditures lead to low results, but even huge investments can only get near 100%.
2. As cost increases, production decreases in step. The supply curve is mostly linear.
3. If you are allowed to use it, hyperbolic (y=1/x). If not, use exponential.
4. Power function. Small studies have little chance, and medium sized ones fare little better. Large sizes have *much* better chances.
5. S-shaped. Start slowly near horizontal, flare high at 1 m or 2 m, and flatten out again. Very little space leads to low sales, but the difference between 1/2 an aisle and a whole aisle for one product is negligible.

I'll get on the graphs.

Customer:

Great. Thanks.

Ray Atkinson :

You print them and label them so it is in your handwriting.

Ray Atkinson :

scanning now

Customer:

okay.

Customer:

Can I copy and paste?

Ray Atkinson :

Customer:

alright.

Ray Atkinson :

Did they show up?

Ray Atkinson :

Hmm. Does not look like it. Let me try again

Customer:

no

Ray Atkinson :

Ok, this is not working. Let me try an external site.

Customer:

did you use word?

Ray Atkinson :

http://www.sendspace.com/file/upzh55

http://www.sendspace.com/file/amys2z

http://www.sendspace.com/file/6flnkq

Ray Atkinson :

Scan 1 is #1 and #2. Scan 2 is #3 and #4, and scan 3 is #5

Customer:

do I have to install anything on my computer or just open a file?

Ray Atkinson :

the first two are PDF and the third is JPG. Your computer should have enough to open them.

Ray Atkinson :

If you cannot open the PDF files, you will need Adobe Acrobat, but it is rare for a computer today not to have it.

Ray Atkinson :

Customer:

Customer:

Customer:

You could not create the graphs in word?

Ray Atkinson :

Maybe I could if you cannot open them.

Customer:

Ray Atkinson :

Okay. Let's try it in a word file uploaded here./

Ray Atkinson :

It looks good.

Ray Atkinson :

#1 is R&D vs effectiveness. #2 is cost vs quantity. #3 is people vs time. #4 is patients vs chance of approval. #5 is space vs sales.

Customer:

Where are the graphs?

Ray Atkinson :

Customer:

Ray Atkinson :

Ray Atkinson :

Not sure why it in not showing on your side.

Ray Atkinson :

Above where I said "It looks good." is the original link.

Customer:

I see them. I wish you had stated that you don't know to create graphs in word or excel.

Ray Atkinson :

I has said that I would physically draw them and scan them.

Ray Atkinson :

Customer:

I misunderstood what you were saying. This is just more work for me.

Ray Atkinson :

If you need me to make them in excel, I can fake some numbers, but these are simple curves. The instructions were to sketch the graphs. Is what I gave not what you were instructed to do?

Customer:

I need them in word or excel. They do not have to be exact. But I have to upload them. The drawings will not be accepeted.

Ray Atkinson :

Ok, let me get back on it.

Ray Atkinson :

I misunderstood the instructions.

Customer:

I don't have much time.

Customer:

Please send anything you can do.

Ray Atkinson :

How soon do you need this?

Customer:

Now!!

Ray Atkinson :

I'm making the graphs now.

Ray Atkinson :

as fast as I can make them look decent

Customer:

Right now fast is better than nothing.

Ray Atkinson :

I'm on #3

Ray Atkinson :

4

Ray Atkinson :

5

Customer:

Great. Just send what you have if you are not done in the next 3 minutes. I have to get at least part of it in.

Ray Atkinson :

Do you have the link there to click?

Customer:

Ray Atkinson :
Ray Atkinson :

they are not pretty, but they are identifiable.

Customer:

I only see one.

Ray Atkinson :

They are in 5 tabs

Ray Atkinson :

the 5 worksheets

Customer:

I see them thank you.

Ray Atkinson :

Customer:

I was in a rush. I got them in just under the wire. So thanks for the quick work.

Ray Atkinson :

You are quite welcome. Im just glad you are happy with it.

Customer:

I'll give you an excellent service rating because you did your best to give me what I needed.

Customer:

Thanks again and have a good night.

Ray Atkinson :

Good night. Remember to rate.