Final answer:
To achieve an initial fiscal restraint of $100 billion and assuming the MPC is 0.85, the government spending must be reduced by approximately $666.67 billion and taxes must be raised by approximately $783.67 billion.
Step-by-step explanation:
To calculate the reduction in government spending, we can use the formula:
Multiplier = 1 / (1 - MPC)
By rearranging the equation, we can solve for the reduction in government spending:
Reduction in Government Spending = Initial fiscal restraint / Multiplier
Given that the MPC is 0.85 and the initial fiscal restraint is $100 billion, we can substitute these values into the equation:
Reduction in Government Spending = 100 / (1 - 0.85) = 100 / 0.15 = 666.67 billion dollars.
To calculate the increase in taxes, we can use the formula:
Increase in Taxes = Reduction in Government Spending / MPC
Substituting the values from the previous calculation:
Increase in Taxes = 666.67 / 0.85 = 783.67 billion dollars.