The graph below represents the market for funky fresh rhymes. At a price of $3,000 per funky fresh rhyme, what is the consumer surplus? Alright. Cool. So, what do we have here? They're asking us for consumer surplus, right? We've got a bunch of quantities on the graph, a bunch of prices, we've got our curves there, right? So, they're asking us about consumer surplus, and remember that's the area below the demand curve and above the market price, right? We're going to get a triangle out of that, and it's going to be this area right here. I'm going to highlight it in green. So our market price, what was it? $3,000, and that's right here. So we want to get the area above the market price but below the demand curve. Right? This is our downward demand. Right? The double D. Downward demand right here. Let's go ahead and highlight that area. So, it's all of this green area right here, right? Below the demand curve, above the market price. So, how do we calculate that? Well, it is a triangle, as you can see. Right? So, we've got the area of a triangle is going to be half times the base times the height. Right? So let's go ahead and find out what our base and our height are. So, base and height are going to be these two sides here and this side right here, right? That's going to, we'll call that our base. Either one can be the base, either one can be the height, as long as you pick them. Alright. So what's going to be our base, right? Our base is going to be this length between the 3,000 and the 7,000. So it's going to be half times our base is the difference between the 7,000 and the 3,000, right? It's going to be that 4,000 difference, but I'm going to write it out here. 7,000 minus 3,000, right? That's that length of the base and what's the length of the height here? What do you see here? We've got a bunch of numbers. Well, it's actually going to be that quantity demanded at that price of 3,000. The quantity demanded is 7.50 and that represents this length, right, from 0 to 7.50 times 750 in that case, right. There's no subtraction needed there because we're going all the way from 0. So that's the bulk of it. Let's do this math and figure out what the answer is. So the area calculation is: 12× (7000-3000) ×750, which simplifies to:0.5×4000×750 = 1,500,000. So, the consumer surplus at a price of $3,000 per funky fresh rhyme is $1,500,000. Alright, let's go ahead and move on to the next video.
- 0. Basic Principles of Economics1h 5m
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5. Consumer and Producer Surplus; Price Ceilings and Floors
Consumer Surplus and Willingness to Pay
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