Calculate the equilibrium level of national income (Y) where Y = C + I + G; C = 100 + 0.75Y; I = 50; G = 200

A.

2000

B.

100

C.

1500

D.

1400

Correct answer is D

y = \(\frac{a + i + G}{1 - b}\)



where b = 0.75
 

= \(\frac{100 + 50 + 200}{1 - 075}\)


= \(\frac{350}{0.25}\)



= 1400

Alternatively:
Y = C + I + G
Y = 100 + 0.75Y + 50 + 200
Y - 0.75Y = 350
Y( 1 - 0.75) = 350
 

= \(\frac{350}{0.25}\)


Y = 1400