Step 1: Understanding the Concept:
The Marginal Propensity to Consume (MPC) is an economic measure that quantifies the induced consumption.
It represents the proportion of an aggregate raise in pay that a consumer spends on the consumption of goods and services, rather than saving it.
In a Keynesian consumption function, MPC represents the slope of the consumption line.
Step 2: Key Formula or Approach:
The formula for Marginal Propensity to Consume (MPC) is the ratio of the change in consumption (\(\Delta C\)) to the change in income (\(\Delta Y\)).
Mathematically, it is expressed as:
\[ MPC = \frac{\Delta C}{\Delta Y} \]
Where:
\(\Delta C\) = Change in Consumption Expenditure
\(\Delta Y\) = Change in Disposable Income
Step 3: Detailed Explanation:
To distinguish MPC from other related concepts:
1. Average Propensity to Consume (APC): It is the ratio of total consumption to total income at a specific level, given by \(APC = \frac{C}{Y}\).
2. Marginal Propensity to Save (MPS): It is the ratio of the change in savings to the change in income, given by \(MPS = \frac{\Delta S}{\Delta Y}\).
In the given options:
- Option (A) \(\frac{C}{Y}\) is the formula for APC.
- Option (C) \(\frac{\Delta Y}{\Delta C}\) is the reciprocal of MPC and does not have a standard economic label.
- Option (D) \(\frac{\Delta C}{\Delta Y}\) correctly matches the definition of MPC, showing how much extra consumption is generated per unit of extra income.
Usually, \(0<MPC<1\), as people typically consume some but not all of their additional income.
Step 4: Final Answer:
The correct formula for Marginal Propensity to Consume is \(\frac{\Delta C}{\Delta Y}\).