Step 1: Understanding the Concept:
The concept of the Investment Multiplier (\(k\)) describes how an initial change in investment (\(\Delta I\)) leads to a final change in national income (\(\Delta Y\)).
The magnitude of this multiplier is determined by the Marginal Propensity to Consume (MPC).
A higher MPC indicates that people spend more of their additional income, leading to a larger circular flow and a higher multiplier effect.
Step 2: Key Formula or Approach:
1. Investment Multiplier (\(k\)) = \(\frac{1}{1 - MPC}\)
2. Change in Income (\(\Delta Y\)) = \(k \times \Delta I\)
3. Total Income (\(Y_{total}\)) = Initial Income (\(Y\)) + Change in Income (\(\Delta Y\))
Step 3: Detailed Explanation:
Given Data:
Initial Income (\(Y\)) = Rs. 80,000 Cr.
Change in Investment (\(\Delta I\)) = Rs. 7,000 Cr.
Marginal Propensity to Consume (MPC) = 0.50
Calculation for Multiplier (k):
\[ k = \frac{1}{1 - 0.50} = \frac{1}{0.50} = 2 \]
Calculation for (i) Increase in Income (\(\Delta Y\)):
\[ \Delta Y = k \times \Delta I \]
\[ \Delta Y = 2 \times 7000 = 14,000 \text{ Cr.} \]
Calculation for (ii) Total Income of the Economy:
\[ Y_{total} = Y + \Delta Y \]
\[ Y_{total} = 80,000 + 14,000 = 94,000 \text{ Cr.} \]
Step 4: Final Answer:
(i) The income will increase by Rs. 14,000 Crore.
(ii) The total income of the economy will be Rs. 94,000 Crore.