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Consider the following economy:(1) C = 1000 + 0.3 (Y - T)(2) I = 700(3) G = 500(4) T = 400The government decided to run a balanced budget. By how much would taxes have to increase or decrease? (

Question

Consider the following economy:(1) C = 1000 + 0.3 (Y - T)(2) I = 700(3) G = 500(4) T = 400The government decided to run a balanced budget. By how much would taxes have to increase or decrease? (

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Solution

To determine the change in taxes required for a balanced budget, we need to equate government spending (G) with tax revenue (T).

Given that G is 500, we can substitute this value into equation (4) to find the current tax level.

T = 400

Now, let's calculate the total income (Y) using the consumption function (equation 1) and investment (equation 2).

Y = C + I

Substituting the given values into equation 1 and 2, we have:

Y = (1000 + 0.3(Y - T)) + 700

Simplifying the equation, we get:

Y = 1700 + 0.3Y - 0.3T

Rearranging the equation, we have:

0.7Y = 1700 - 0.3T

Now, let's substitute the value of Y into the equation:

0.7(1700 - 0.3T) = 1700 - 0.3T

Simplifying further, we get:

1190 - 0.21T = 1700 - 0.3T

Combining like terms, we have:

0.09T = 510

Dividing both sides by 0.09, we find:

T ≈ 5666.67

Therefore, taxes would need to increase by approximately 5666.67 units to achieve a balanced budget.

This problem has been solved

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