The correct option is 1 and 3 only.
Explanation
In macroeconomics, total income (Y) is disposed of in two ways: consumption (C) and saving (S). Consequently, any change in income ($\Delta Y$) results in a change in consumption ($\Delta C$) and a change in saving ($\Delta S$). The Marginal Propensity to Consume (MPC) and Marginal Propensity to Save (MPS) represent the fractions of additional income consumed and saved, respectively.
- Statement 1 is Correct: The relationship between MPC and MPS is derived from the income identity $\Delta Y = \Delta C + \Delta S$. Dividing by $\Delta Y$, we get $1 = MPC + MPS$. Therefore, if $MPC = 0.8$, then $MPS = 1 - 0.8 = 0.2$.
- Statement 2 is Incorrect: The slope of the consumption function is determined by the MPC ($\Delta C / \Delta Y$). Since $MPC + MPS = 1$, an increase in MPS necessarily implies a decrease in MPC. A decrease in MPC results in a decrease (flattening) of the slope of the consumption function, not an increase. An increase in MPS would increase the slope of the saving function.
- Statement 3 is Correct: The Average Propensity to Consume (APC) is the ratio of total consumption to total income ($C/Y$), and the Average Propensity to Save (APS) is the ratio of total saving to total income ($S/Y$). Since $Y = C + S$, dividing both sides by $Y$ yields $1 = C/Y + S/Y$, which means $APC + APS = 1$.
Key Takeaway:
The sum of marginal propensities ($MPC + MPS$) and the sum of average propensities ($APC + APS$) are always equal to unity (1), as income is strictly classified into consumption and saving in this model.