Adding demand curves

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Adding demand curves발음듣기

In the last few videos, we constructed a marginal product revenue curve for our little competitive car wash, and we essentially figured out how this is really just the demand curve for labor from this firm.발음듣기

I talked about on the very first video that if you know the demand curve for, in a certain market, and this is the market for labor of a certain kind, maybe the type of labor that would work at a car wash, then if you knew it from one firm and all of the other firms in the market for that type of labor, you could add their demand curves to get the entire market demand for that type of labor, for that good or service.발음듣기

What I want to do in this video is to make sure you understand what it means to add demand curves.발음듣기

It's, on one level, straightforward, but on another level, a little non-intuitive because of the ways that the axes are defined in economics, that the price axis is the vertical axis.발음듣기

Let's draw the demand curve for two firms.발음듣기

I'll do simplified versions.발음듣기

I won't use this one right over here.발음듣기

I'll just do two simplified demand curves.발음듣기

This doesn't apply just to labor markets.발음듣기

This applies to any demand curve.발음듣기

If I want to add two demand curves, this is one entity's demand, so this is one firm's demand.발음듣기

That's price, and this is quantity.발음듣기

This is quantity.발음듣기

Let's say at a price of 10, they demand nothing, if that's the hourly wages, and if the price were 0, they would essentially get up to they would demand 10 people.발음듣기

And so you have a situation.발음듣기

You have a demand curve that would look something, a demand curve that would look something like that, a dot, a demand curve that would look like that.발음듣기

I'll do one other point on the demand curve.발음듣기

At a price of 5 a quantity, or $5 per hour, this firm would demand, if we're thinking of it in terms of labor, at a price of $5 per hour of labor, this firm would demand 5 people per hour.발음듣기

Obviously, what I'm going to do is general to any demand curve, but we'll just keep it in the labor mindset.발음듣기

This is Firm 1.발음듣기

This is a firm's demand.발음듣기

Firm 1.발음듣기

If we're talking about this as demand for oranges, then this wouldn't be a firm.발음듣기

This would be a consumer or maybe a wholesaler or something like that.발음듣기

This is Firm 1's demand for labor.발음듣기

Let's say Firm 2's demand looks something like this.발음듣기

I'll try to align them.발음듣기

Firm 2's demand looks something like this.발음듣기

The axes are going to have the exact same labels.발음듣기

This is Quantity.발음듣기

This is Price right over here.발음듣기

This is 5.발음듣기

This is 10.발음듣기

Then this is 15.발음듣기

Let's say that this is 5, and let's say this is 6 right over here.발음듣기

Their demand curve looks like this.발음듣기

It looks like that.발음듣기

Let me make it a little bit neater.발음듣기

That looks less neat.발음듣기

It looks something like that.발음듣기

I could put some extra points here.발음듣기

At a price of 10, this firm will demand 2 units.발음듣기

If we're thinking of labor, $10 per hour, they'll get 2 people per hour.발음듣기

At a price of 5, they will demand 4.발음듣기

They will demand 4 units.발음듣기

These are all ...발음듣기

We've looked at a couple of points on this demand curve.발음듣기

Now we are ready to add them together.발음듣기

This is Firm 2, Firm 2's demand for labor.발음듣기

Let's add these two curves.발음듣기

When I said it's unintuitive, we're actually going to look at ...발음듣기

For a given price, how much total quantity of labor is now demanded?발음듣기

We're going to essentially add it horizontally, and you're going to see what I'm talking about in a second.발음듣기

When I add them together, I add them together, I'm going to have the same axes.발음듣기

Let's say this is 5.발음듣기

This is 10.발음듣기

Actually, let me get a little bit further on this axis, on this second axis.발음듣기

The second axis, I'll make it as straight as possible.발음듣기

Let's say that this is 5, 10, 15, 5, 10, 15, and this is 5, 10, 15.발음듣기

I'm doing my best to align it horizontally, that this 15 is this 15, that this 10 is with this 10, is with that 10, and that 5 is with that 5 and with that 5.발음듣기

At a price of 15 in the market, what is the total quantity demanded?발음듣기

It's still going to be 0 because even this firm is still demanding 0.발음듣기

But then if we go to a price of 10, this firm, the Firm 1 is demanding 0, but Firm 2 over here is demanding 2.발음듣기

So we're going to go 10.발음듣기

It's going to be right over there.발음듣기

This is right about 2.발음듣기

That distance is right about 2.발음듣기

Then if we go to 5, at a price of 5, Firm 1 is going to demand 5.발음듣기

Firm 2 is going to demand 4 units of labor.발음듣기

At a price of 5, you're going to have 5 plus 4.발음듣기

At a price of 5, you're going to have 5 plus 4 or 9 units of labor, 9 units of labor.발음듣기

Then at a price of 0, if labor is free, this firm would demand 10 units, and this firm would demand 6 units.발음듣기

You add them together, you get 16 units.발음듣기

You'd get 16 units.발음듣기

The combined demand for labor curve will look something like ...발음듣기

I'll do it in ... or actually, I'll do it in blue.발음듣기

The combined demand for labor curve will look like this.발음듣기

Between $15 and $10, only Firm 1 is interested in getting any labor.발음듣기

So this part right over here will look just like that.발음듣기

But then after that point, you're going to essentially add Firm 1 to the mix, and then Firm 1, maybe I'll do that part in a different color, it will look something like ...It will look something like that.발음듣기

We have essentially added, we've horizontally added this line to this line.발음듣기

You could imagine taking this line, and at any given point, so at 5 right over here, you're taking its value and quantity and adding to this quantity here.발음듣기

The reason why I said this is a little bit nonintuitive is this would have been easier at least for me to add with the background of the traditional algebraic conventions we're used to.발음듣기

We're used to adding vertically.발음듣기

If we were to flip price and quantity, then we could stack these on top of each other and add them vertically.발음듣기

That's why it's a little nonintuitive.발음듣기

But hopefully, this makes sense.발음듣기

We're just looking at each of their demand curves at any given price, and we're saying, "OK, what is the demand from Firm 2?발음듣기

'"What is the demand from Firm 1?" and we're adding them together, and then we get this.발음듣기

We get this combined market demand curve, Firm 1 plus Firm 2.발음듣기

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