2. (a) Given Consumption FunctionC= 100 + 0.75Y and autonomous invest...
Aggregate Expenditure Function:
- The aggregate expenditure function is the total amount of spending in an economy at a given level of income. It is calculated by adding consumption and investment expenditures.
- In this case, the consumption function is C = 100 + 0.75Y, where Y represents income. The autonomous investment is Rs. 300.
- Therefore, the aggregate expenditure function can be written as AE = C + I, where AE is the aggregate expenditure, C is consumption, and I is investment.
- Substituting the values, we get AE = (100 + 0.75Y) + 300 = 400 + 0.75Y.
Saving Function:
- Saving is the amount of income that is not spent on consumption. It is calculated by subtracting consumption from income.
- The saving function can be written as S = Y - C, where S is saving, Y is income, and C is consumption.
- Substituting the consumption function C = 100 + 0.75Y into the saving function, we get S = Y - (100 + 0.75Y) = 0.25Y - 100.
- Saving becomes zero when S = 0, so 0 = 0.25Y - 100. Solving for Y, we get Y = 400.
- At an income level of Rs. 400, saving becomes zero because all income is spent on consumption, and there is no saving.
Therefore, the aggregate expenditure function of the economy is AE = 400 + 0.75Y, and the saving function is S = 0.25Y - 100. Saving becomes zero at an income level of Rs. 400, where all income is spent on consumption.