Consider the following economyC=1000+0.4(Y-T)I=500T=400G=300Autonomous spending is:
Question
Consider the following economyC=1000+0.4(Y-T)I=500T=400G=300Autonomous spending is:
Solution 1
To find the autonomous spending in the given economy, we need to substitute the given values into the equations for consumption (C), investment (I), and taxes (T).
The equation for consumption is C = 1000 + 0.4(Y - T), where Y represents income. Substituting the given value of T = 400, we have C = 1000 + 0.4(Y - 400).
The equation for investment is I = 500. Since investment is not affected by income or taxes, we can directly use the given value of I = 500.
The equation for taxes is T = 400. This value is already given.
To calculate the autonomous spending, we need to add up the autonomous components of consumption, investment, and government spending. In this case, there is no information given about government spending (G), so we assume it to be zero.
Therefore, the autonomous spending in this economy is the sum of the autonomous components of consumption and investment:
Autonomous spending = C + I = (1000 + 0.4(Y - 400)) + 500
Please note that the value of Y (income) is not provided in the given information, so we cannot calculate the exact value of autonomous spending without knowing the value of Y.
Solution 2
To find the autonomous spending in the given economy, we need to substitute the given values into the equations for consumption (C), investment (I), and taxes (T).
The equation for consumption is C = 1000 + 0.4(Y - T), where Y represents income. Since we are looking for autonomous spending, we can assume that income (Y) is equal to zero. Therefore, the equation simplifies to C = 1000 + 0.4(0 - T).
The equation for investment is I = 500. This represents the fixed amount of investment spending in the economy.
The equation for taxes is T = 400. This represents the fixed amount of taxes in the economy.
To find the autonomous spending, we need to calculate the value of C when Y is zero. Substituting Y = 0 into the consumption equation, we get C = 1000 + 0.4(0 - T) = 1000 + 0.4(-T) = 1000 - 0.4T.
Therefore, the autonomous spending in this economy is 1000 - 0.4T, where T is equal to 400. Substituting T = 400 into the equation, we get autonomous spending = 1000 - 0.4(400) = 1000 - 160 = 840.
Hence, the autonomous spending in this economy is 840.
Solution 3
To find the autonomous spending in the given economy, we need to substitute the given values into the equations for consumption (C), investment (I), and taxes (T).
The equation for consumption is C = 1000 + 0.4(Y - T), where Y represents income. Since we are looking for autonomous spending, we can assume that income (Y) is equal to zero. Therefore, the equation simplifies to C = 1000 + 0.4(0 - T).
The equation for investment is I = 500. This represents the fixed amount of investment spending in the economy.
The equation for taxes is T = 400. This represents the fixed amount of taxes in the economy.
To find the autonomous spending, we need to calculate the value of C when Y is zero. Substituting Y = 0 into the consumption equation, we get C = 1000 + 0.4(0 - T) = 1000 + 0.4(-T) = 1000 - 0.4T.
Therefore, the autonomous spending in this economy is 1000 - 0.4T, where T is equal to 400. Substituting T = 400 into the equation, we get autonomous spending = 1000 - 0.4(400) = 1000 - 160 = 840.
Hence, the autonomous spending in this economy is 840.
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