Based on the economic data given, and the fact that the government is running a deficit, the equilibrium GDP will be 336.67.
If government spending is cut to balance the budget, the new level of GDP will be 321.67.
The effect of balancing the budget will be a decrease in GDP and a slower recovery from the recesssion.
<h3>What is the equilibrium GDP?</h3>
This is given by the variable "Y" so we can find the equilibrium GDP by solving for it:
C = 50 + .7(Y – T)
Y = C + I + G - XN
C = Y - I - G + XN
Solving gives:
Y - I - G + XN = 50 + .7(Y – T)
Y - 40 - 35 + 10 = 50 + 0.7Y - 14
Y - 0.7Y = 50 + 40 + 35 - 10 - 14
0.3Y = 101
Y = 101/0.3
= 336.67
<h3>What is the new GDP if government spending is cut?</h3>
Government spending will have to be cut to a size that would make it equal to taxes so government spending becomes 20.
New GDP becomes:
= C + I + G - XN
= ( 50 + .7(Y – T)) + 40 + 20 - 10
= 271.67 + 40 + 20 - 10
= 321.67
Find out more on GDP at brainly.com/question/1384502.