00:01
Okay, let's say we have a consumer whose income is $500 and the price of good x is $5 and the price of good z is $10.
00:09
And we want to calculate the budget constraint, which just represents all the combinations of goods x and z that the consumer can afford with their given income and with the price of the goods.
00:20
So the general form for the budget constraint is income equals the price of x times the quantity of x plus the price of z times the quantity of z.
00:30
So if we had to write this out, it would be 500, because the consumer's income is 500, equals 5x plus 10z, with x equaling the number of the quantity of good x and z equaling the quantity of good z.
00:49
So this would be the equation.
00:50
This would be our answer, and this is a z.
00:54
Now let's draw the budget constraint.
00:55
So we have this information, so we need to figure out what it would look like on a graph.
01:00
And so to do that, we would just kind of set one of the variables to zero to solve for the other.
01:05
So if we want to solve for x, we're going to set z to zero.
01:08
So it would be 500 equals 5x plus 10 times zero.
01:14
So 500 equals 5x.
01:17
X equals 100.
01:18
Then we do the same thing for z.
01:20
So 500 equals 5 times 0 plus 10z.
01:27
500 equals 10z...