Constant unit elasticity

55문장 100% 한국어 번역 6명 참여 출처 : 칸아카데미
0 영상보기
영어 to
한국어
2단 보기 1단 보기
번역 0%

Constant unit elasticity발음듣기

다른 번역문 등록

We've already talked about linear demand functions that actually have changing price elasticity as we go down the curve.발음듣기

다른 번역문 등록

And we've shown the extremes.발음듣기

다른 번역문 등록

We've shown things that are perfectly inelastic and things that are perfectly elastic.발음듣기

다른 번역문 등록

What I want to do in this video - and it'll be a quick little video - is think about can we construct a demand curve, or at least understand what it looks like, that has a constant elasticity across the curve?발음듣기

다른 번역문 등록

And just for fun, let's make it a constant elasticity of 1.발음듣기

다른 번역문 등록

So it has constant unit elasticity of demand.발음듣기

다른 번역문 등록

So let's think about how we can create that.발음듣기

다른 번역문 등록

And hopefully, it will give us a bit more intuition on how this elasticity business even works.발음듣기

다른 번역문 등록

So let's draw our axes.발음듣기

다른 번역문 등록

So there you go, that is price.발음듣기

다른 번역문 등록

And that right there is quantity.발음듣기

다른 번역문 등록

And let me put quantity.발음듣기

다른 번역문 등록

Now let's put some numbers there that'll just help us draw this demand curve that has unit elasticity at every point, at every price, in every quantity.발음듣기

다른 번역문 등록

So I'm just going to put some numbers here.발음듣기

다른 번역문 등록

So let's say that that right over there is 10.발음듣기

다른 번역문 등록

So that's $10 or whatever we're doing.발음듣기

다른 번역문 등록

And then this is 10 units per time period, 10 units per week, or 10 units per month, or whatever else.발음듣기

다른 번역문 등록

Now, we want the absolute value of the elasticity of demand to be equal to 1 at all points.발음듣기

다른 번역문 등록

And we're going to assume that this curve meets the law of demand, which means as price goes down, quantity demanded goes up.발음듣기

다른 번역문 등록

So let's think.발음듣기

다른 번역문 등록

This is going to be a downward sloping, so really we're going to say that the elasticity of demand is going to be equal to negative 1.발음듣기

다른 번역문 등록

If we have a 1% decrease in price, we're going to have a 1% increase in quantity, and vice versa.발음듣기

다른 번역문 등록

So let's think about it.발음듣기

다른 번역문 등록

If we're up here, where the price is near $10, and maybe where the quantity is closer to $1, let's think about what a 10% movement in price would look like, a 10% movement down.발음듣기

다른 번역문 등록

It would be roughly about this size.발음듣기

다른 번역문 등록

A 10% movement would be roughly there.발음듣기

다른 번역문 등록

And I'm just trying to get the general shape of this curve.발음듣기

다른 번역문 등록

I'm not going to go into the deep mathematics or the calculus of it.발음듣기

다른 번역문 등록

So that is a 10% price movement down.발음듣기

다른 번역문 등록

And we also want to 10% quantity movement up.발음듣기

다른 번역문 등록

But remember, our quantity is only at 1.발음듣기

다른 번역문 등록

So a 10% quantity movement up would only be 10% of 1.발음듣기

다른 번역문 등록

So if we're moving 10% in price downwards, this is a 10% upwards in quantity.발음듣기

다른 번역문 등록

So our curve up here would look something like this.발음듣기

다른 번역문 등록

It would actually have to be quite steep.발음듣기

다른 번역문 등록

Now let's think about what the curve would look over here.발음듣기

다른 번역문 등록

Once again, we want 10% for both of them, because we want the price elasticity of demand to be 1 throughout the curve.발음듣기

다른 번역문 등록

So if we go over here, a 10% movement in price - so let's say we're down here, where price is close to 1 - a 10% movement in price is going to be very small.발음듣기

다른 번역문 등록

So a 10% movement in price is going to be like that.발음듣기

다른 번역문 등록

It's going to be roughly a tenth of a movement.발음듣기

다른 번역문 등록

So that's a 10% movement in price.발음듣기

다른 번역문 등록

But a 10% movement in quantity demanded over here, it's going to be much larger.발음듣기

다른 번역문 등록

It's going to look something like that, because the quantity is approaching 10, so 10% of that is about 1 unit just like that.발음듣기

다른 번역문 등록

So at this point in the graph, it would look something like this.발음듣기

다른 번역문 등록

It would flatten out a good bit, just like that.발음듣기

다른 번역문 등록

And then when the price and the quantity is about the same, so let's say this point right over here, where the price and the quantity is about the same - so let's say that that is 2, this is 3, this is 2, this is 3 right over here - your percent movements are going to be the same.발음듣기

다른 번역문 등록

But since the price and quantity are the same, the absolute movements are also going to be the same.발음듣기

다른 번역문 등록

So at that point, our curve should look something like that.발음듣기

다른 번역문 등록

It should have a slope of 1.발음듣기

다른 번역문 등록

And so if you connect the dots, you get the general shape of a demand curve that has a price elasticity of demand at negative 1 throughout the curve, or whose absolute value of the price elasticity of demand is 1.발음듣기

다른 번역문 등록

So let's just do that.발음듣기

다른 번역문 등록

So the curve would look something like - I'll just draw a dotted line; it's easier to do - so it'll look something like that.발음듣기

다른 번역문 등록

It'll keep getting steeper as we get the quantity closer to 0, and it'll keep flattening out as the quantity grows and grows and grows.발음듣기

다른 번역문 등록

Anyway, hopefully you found that interesting.발음듣기

다른 번역문 등록

칸아카데미 더보기더 보기

전체보기
Top