Final answer:
The equilibrium value of Y in a model where Y = AE = C + I + G + (X - M) cannot be calculated without the specific values for all components. Autonomous consumption, MPC, MPS, APC, and APS can be theoretically determined based on the consumption function and known relationships between economic variables. Effects on Y due to changes in government spending (G) and taxes (T) depend on the multiplier and marginal propensities.
Step-by-step explanation:
To find the equilibrium value of Y (national income), we need to set aggregate expenditure (AE) equal to Y. This includes components like consumption (C), investment (I), government spending (G), and net exports (X - M).
The equilibrium condition is given by AE = Y, where AE is the sum of C + I + G + (X - M). Using the model provided, our equation for AE would take into account consumption which is a function of disposable income, investment not given in the question, and given government spending and taxes. Since we do not have specific values for investment and net exports, we cannot solve for the equilibrium value of Y with the information provided. However, I can explain how to find the values of the autonomous consumption, the marginal propensity to consume (MPC), marginal propensity to save (MPS), average propensity to consume (APC), and average propensity to save (APS), as well as how to calculate the multiplier.
Autonomous consumption (Co) is the value of consumption when income is zero. The MPC is the change in consumption from an additional unit of income. If the consumption function is C = Co + MPC(Y - T), you can find MPC by the coefficient of the income in the consumption function. The MPS is 1 - MPC, as it represents the remaining portion of additional income that is saved. The APC can be found by dividing consumption by the total income at any point, while the APS is 1 - APC. To calculate the private savings, public savings, and national savings, you would need to look at disposable income, government spending, and taxes. The multiplier can be calculated as 1/(1 - MPC) if we ignore taxes and net exports or use a more complicated formula that takes those into account.
When government spending (G) changes, it shifts aggregate demand directly by the amount of the change. So, an increase in G by $150 would increase Y by $150 times the multiplier, assuming all else equal. If taxes (T) increase, disposable income decreases, which reduces consumption and thus Y. Finally, if both G and T increase by the same amount, the net effect on Y would depend on the relative sizes of the multiplier and the marginal propensity to consume.