Question

In Macroland autonomous consumption equals 100, the marginal propensity to consume equals 0.75, net taxes are fixed at 40, planned investment is fixed at 50, government purchases are fixed at 150, and net exports are fixed at 20. Planned aggregate expenditure equals:________a.1,000. b.1,160. c.1,280. d.1,440.

Answer 1

Answer:

b) $1,160

Explanation:

From the above information,

I=Investment = 50

G=Government expenditure = 150

X=Net export = 20

a=autonomous consumption = 100

b=Marginal propensity to consume = 0.75

Y=Equilibrium GDP

C = consumption ;

C = 100 + 0.75Y (Y income - 40 taxes)

Planned aggregate expenditure (PAE)

PAE = C + l +G +X

Substituting for C in the above equation,

PAE = 100 + 0.75 (Y - 40) + 50 + 150+ 20

= 100 + 0.75Y -30 + 50 + 150 + 20

= 290 + 0.75Y

Since short run exists when Y = PAE

Therefore,

Y = 290 + 0.75Y

Collect like terms

Y - 0.75Y = 290

0.25Y =290

Y = 290/0.25

Y = 1,160