The following data are for the economy of Moksha. C = 40 + 0.75Y G = 180I = 70 XN = 50 − 0.25Y a. Calculate equilibrium GDP. Equilibrium GDP is $ . b. Calculate the multiplier.Round your answer to 2 decimal places. The multiplier is . c. If the tax function is T = 20 + 0.2Y, the size of the budget (Click to select) is $ . Round your answer to 1 decimal place. d. Now, change government spending, by the size of the surplus, or deficit, in an attempt to balance the budget. What will be the new equilibrium income? Round your answer to 1 decimal place. New equilibrium GDP is $ . e. At the new equilibrium there is a budget (Click to select) os $ . Round your answer to 2 decimal places.Solve this.
Question
The following data are for the economy of Moksha. C = 40 + 0.75Y G = 180I = 70 XN = 50 − 0.25Y a. Calculate equilibrium GDP. Equilibrium GDP is . Round your answer to 1 decimal place. d. Now, change government spending, by the size of the surplus, or deficit, in an attempt to balance the budget. What will be the new equilibrium income? Round your answer to 1 decimal place. New equilibrium GDP is . Round your answer to 2 decimal places.Solve this.
Solution
The given data is for the economy of Moksha.
a. To calculate the equilibrium GDP, we need to set up the equation for aggregate demand (AD) which is the sum of consumption (C), investment (I), government spending (G), and net exports (XN).
AD = C + I + G + XN
Substituting the given values into the equation, we get:
AD = (40 + 0.75Y) + 70 + 180 + (50 - 0.25Y)
Simplifying the equation, we get:
AD = 340 + 0.5Y
In equilibrium, aggregate demand equals GDP (Y), so we can set AD = Y and solve for Y:
340 + 0.5Y = Y
Subtract 0.5Y from both sides:
340 = 0.5Y
Multiply both sides by 2 to solve for Y:
Y = 680
So, the equilibrium GDP is $680.
b. The multiplier is the reciprocal of the slope of the aggregate demand function. In this case, the slope is 0.5, so the multiplier is 1/0.5 = 2.
c. The tax function is T = 20 + 0.2Y. Substituting Y = 680 into the tax function, we get T = 20 + 0.2*680 = 156. So, the size of the budget is $156.
d. To balance the budget, government spending should be equal to tax revenue. So, G = T = 156. Substituting G = 156 into the aggregate demand function, we get:
AD = (40 + 0.75Y) + 70 + 156 + (50 - 0.25Y)
Solving for Y as before, we get Y = 832. So, the new equilibrium GDP is $832.
e. At the new equilibrium, the budget is balanced, so the budget surplus or deficit is $0.
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