(1)C=1000+0.4(Y−T)(2)I=500(3)G=400(4)T=300 Write down the equilibrium values for:AD*= , y*= , c*= , I*= , G*=, T*= , M=, MPC=👍👀✅Acein a few secondsLet's solve this step by step:1. The aggregate demand (AD) is the sum of consumption (C), investment (I), and government spending (G). So, AD = C + I + G.2. Substituting the given equations into the AD equation, we get AD = (1000 + 0.4(Y - 300)) + 500 + 400.3. Simplifying this, we get AD = 1400 + 0.4Y.4. In equilibrium, aggregate demand equals income (Y), so we can set AD = Y to find the equilibrium income. Solving the equation 1400 + 0.4Y = Y gives us Y* = 2333.33.5. Substituting Y* into the consumption function gives us C* = 1000 + 0.4(2333.33 - 300) = 1413.33.6. The investment, government spending, and taxes are given as I* = 500, G* = 400, and T* = 300.7. The marginal propensity to consume (MPC) is the slope of the consumption function, which is 0.4 in this case.8. The value for M is not given in the equations, and without additional information, we cannot determine its value.
Question
(1)C=1000+0.4(Y−T)(2)I=500(3)G=400(4)T=300 Write down the equilibrium values for:AD*= , y*= , c*= , I*= , G*=, T*= , M=, MPC=👍👀✅Acein a few secondsLet's solve this step by step:1. The aggregate demand (AD) is the sum of consumption (C), investment (I), and government spending (G). So, AD = C + I + G.2. Substituting the given equations into the AD equation, we get AD = (1000 + 0.4(Y - 300)) + 500 + 400.3. Simplifying this, we get AD = 1400 + 0.4Y.4. In equilibrium, aggregate demand equals income (Y), so we can set AD = Y to find the equilibrium income. Solving the equation 1400 + 0.4Y = Y gives us Y* = 2333.33.5. Substituting Y* into the consumption function gives us C* = 1000 + 0.4(2333.33 - 300) = 1413.33.6. The investment, government spending, and taxes are given as I* = 500, G* = 400, and T* = 300.7. The marginal propensity to consume (MPC) is the slope of the consumption function, which is 0.4 in this case.8. The value for M is not given in the equations, and without additional information, we cannot determine its value.
Solution
(1)C=1000+0.4(Y−T)(2)I=500(3)G=400(4)T=300 Write down the equilibrium values for:AD*= , y*= , c*= , I*= , G*=, T*= , M=, MPC=👍👀✅Acein a few secondsLet's solve this step by step:1. The aggregate demand (AD) is the sum of consumption (C), investment (I), and government spending (G). So, AD = C + I + G.2. Substituting the given equations into the AD equation, we get AD = (1000 + 0.4(Y - 300)) + 500 + 400.3. Simplifying this, we get AD = 1400 + 0.4Y.4. In equilibrium, aggregate demand equals income (Y), so we can set AD = Y to find the equilibrium income. Solving the equation 1400 + 0.4Y = Y gives us Y* = 2333.33.5. Substituting Y* into the consumption function gives us C* = 1000 + 0.4(2333.33 - 300) = 1413.33.6. The investment, government spending, and taxes are given as I* = 500, G* = 400, and T* = 300.7. The marginal propensity to consume (MPC) is the slope of the consumption function, which is 0.4 in this case.8. The value for M is not given in the equations, and without additional information, we cannot determine its value.
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