00:01
So first of all, let's remember that equilibrium means that output is equal to demand.
00:05
And demand here is c plus i plus g.
00:09
And we're given some information about these things, right? so in red, consumption is equal to 25 plus 0 .y8, y minus t, right? disposable income is just output minus taxes.
00:26
Investment is just given and oh sorry investment is given by some number 75 but i'm just going to leave this as investment for now and then we have g i'm even going to rewrite this as 25 as ca which is sort of like my autonomous consumption you might say the consumption that i do independent of income so for a, what do we need to do? we need to find equilibrium income, so we need to solve for y.
01:04
That means we need to bring all the ys to one side, so i get y minus 0 .8y is equal to ca plus zero point, sorry, minus 0 .8t plus i plus g, which means that y is equal to ca minus 0 .8t plus i plus g all over 0 .2, which is equal to autonomous consumption is 25 minus 0 .8 times taxes.
01:39
Taxes are 100.
01:41
Investment is what? 100 and government expenditure is equal to 75, all over 0 .2.
01:54
So this is equal to 200.
01:55
So this is equal to 200...