00:01
Here we're working with price elasticity of demand, and we're given an example in which the price elasticity of demand for cigarettes is 0 .4.
00:08
The cost of a pack of cigarettes is $5, and now suppose that the government wants to see a 20 % reduction in smoking.
00:17
Given that, by how much should the price of cigarettes be increased to result in that 20 % reduction? to do that, let's first recall that in order to find the price elasticity of demand, it's just equal to the percent.
00:30
Change in quantity demanded divided by our percent change in price.
00:37
Okay, so we know that our price elasticity of demand is 0 .4 that was given to us.
00:41
We also know that the government wants to see that 20 % reduction.
00:45
So that's our change in quantity demanded, divided by whatever this change in prices.
00:50
That's what we're trying to find is equal to 0 .4.
00:54
So if we want to solve for that percent change in price, we have percent change in price, which will be equal to 0 .2 divided by 0 .4.
01:06
All right.
01:07
So in this case, if we go ahead and calculate that, we can see that that change should be a 50 % change in price in order to see that 20 % reduction in smoking.
01:17
Now, suppose that this is actually enforced...