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