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Mathematics 12 Online
OpenStudy (anonymous):

Help with Price Elasticity of Demand. I will fan and Reward Medals.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

What's your question?

OpenStudy (anonymous):

Hold on one second i will send a photo

OpenStudy (anonymous):

OpenStudy (anonymous):

those are the two questions

jimthompson5910 (jim_thompson5910):

ok one sec

jimthompson5910 (jim_thompson5910):

part b seems a lot easier than a, so let's do that first

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

At point S, the price is $100, so P = 100 The intercept of the tangent line at S is 300, so A = 300 E = P/(P-A) E = 100/(100-300) E = -0.5

OpenStudy (anonymous):

Okay I see where I went wrong however I am really confused with a. I tried solving for S but confused with the graph

jimthompson5910 (jim_thompson5910):

I'm not sure how to do A since I'm not sure how to compute the change in Q or P

jimthompson5910 (jim_thompson5910):

are we including point R?

OpenStudy (anonymous):

This is what I got for a.90/300 * 100/60 = 0.5 but not sure if I am using the correct formula

OpenStudy (anonymous):

no I have to work R for question d.

jimthompson5910 (jim_thompson5910):

oh so you're just computing the slope of the tangent line at S to get 90/300

jimthompson5910 (jim_thompson5910):

the slope is negative though

OpenStudy (anonymous):

is that for a. ?

jimthompson5910 (jim_thompson5910):

no what you have for A is correct except that the slope is negative

OpenStudy (anonymous):

Oh ok so we are working on B ?

jimthompson5910 (jim_thompson5910):

we already did B

OpenStudy (anonymous):

ok , sorry LOL

jimthompson5910 (jim_thompson5910):

that's ok lol

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

same idea as last time, but now you're focusing on R

OpenStudy (anonymous):

Yes so how will i work through this one ?

jimthompson5910 (jim_thompson5910):

for point R, what did you get when you used P/(P-A)

OpenStudy (anonymous):

700/(700-400) , right? I'm not very sure

jimthompson5910 (jim_thompson5910):

P = 400 (look at where the horizontal line crosses at 400 for R)

jimthompson5910 (jim_thompson5910):

A = 700 this is the y-intercept of the tangent at R

OpenStudy (anonymous):

so my answer is backwards ?

jimthompson5910 (jim_thompson5910):

yeah you have the values swapped

OpenStudy (anonymous):

400/(700-400) ?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

actually wait

jimthompson5910 (jim_thompson5910):

E = P/(P-A) E = 400/(400-700) E = ???

OpenStudy (anonymous):

-0.75 ?

jimthompson5910 (jim_thompson5910):

no

OpenStudy (anonymous):

is it positive ?

jimthompson5910 (jim_thompson5910):

no the elasticity of demand is always negative

jimthompson5910 (jim_thompson5910):

why? because positive changes in price cause a negative change in demand price goes up demand goes down they combine to tell us that the elasticity of demand is always negative

OpenStudy (anonymous):

I'm not sure

jimthompson5910 (jim_thompson5910):

you just compute 400/(400-700)

OpenStudy (anonymous):

okay so working the parenthesis first give me - 300 /400 = -.75 I keep getting this answer

jimthompson5910 (jim_thompson5910):

you're dividing in the wrong order

OpenStudy (anonymous):

400/400 ?

jimthompson5910 (jim_thompson5910):

no

OpenStudy (anonymous):

- 1.3 i have this now

jimthompson5910 (jim_thompson5910):

better 400/(400-700) = -1.33333333333333

OpenStudy (anonymous):

ahh i see , so the correct answer i include the repeating 3s

jimthompson5910 (jim_thompson5910):

yeah or say it's approximately -1.333

jimthompson5910 (jim_thompson5910):

something like that

OpenStudy (anonymous):

Omg i see so for part d what method did i use to compute it ?

jimthompson5910 (jim_thompson5910):

E = P/(P-A)

OpenStudy (anonymous):

One last question , then i ill let you go :D Compare the elasticities in parts a and b. Are they equal? Should they be equal?

jimthompson5910 (jim_thompson5910):

they are equal, but I don't know if they are always equal or if it's just a coincidence they are equal

OpenStudy (anonymous):

Thank you so much you were very helpful :)

jimthompson5910 (jim_thompson5910):

you're welcome

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