Consider the following economy:(1) C = 1000 + 0.3 (Y - T)(2) I = 700(3) G = 500(4) T = 400Consumption of equilibrium is:
Question
Consider the following economy:(1) C = 1000 + 0.3 (Y - T)(2) I = 700(3) G = 500(4) T = 400Consumption of equilibrium is:
Solution
To find the consumption at equilibrium, we need to use the given equations and solve for the value of Y (income).
The consumption function is given by C = 1000 + 0.3(Y - T), where C represents consumption, Y represents income, and T represents taxes.
From equation (4), we know that T = 400. Substituting this value into the consumption function, we have C = 1000 + 0.3(Y - 400).
To find equilibrium, we need to set consumption equal to income, so C = Y.
Substituting C = Y into the consumption function, we have Y = 1000 + 0.3(Y - 400).
Simplifying the equation, we get Y = 1000 + 0.3Y - 120.
Combining like terms, we have Y - 0.3Y = 1000 - 120.
Simplifying further, we get 0.7Y = 880.
Dividing both sides by 0.7, we find Y = 1257.14.
Therefore, the consumption at equilibrium is C = Y = 1257.14.
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