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
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Explanation:
The computation is shown below:
1. For Predetermined overhead rate
Predetermined overhead rate = (Total estimated manufacturing overhead for 4 months) ÷ (Total number of units)
where,
Total estimated direct manufacturing cost is
= $166,400 × 4 months
= $665,600
And, the total number of units is
= 4,700 units + 8,700 units + 4,300 units + 7,900 units
= 25,600 units
So, the predetermined overhead rate is
= $665,600 ÷ 25,600 units
= $26 per unit
2. Now the allocated cost for each month is shown below:
For January
= 4,700 units × $26
= $122,200
For February
= 8,700 units × $26
= $226,200
For March
= 4,300 units × $26
= $111,800
For April
= 7,900 units × $26
= $205,400
c. Now the total cost per unit is
= $22 + $26
= $48 per unit