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# Sketching Graphs Sketch graphs for the relationships described

### Resolved Question:

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.
Submitted: 3 years ago.
Category: Homework
Expert:  Ray Atkinson replied 3 years ago.

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.

Category: Homework
Satisfied Customers: 1889
Experience: Inner-city high school substitute teacher. Degrees in mathemetics, accounting, and education. Years and years of tutoring.

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