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Question 64 of 104
Q.

(a) Complete the following table. Construct/Express the Consumption function at ₹ 200 crore level of income.

Income (Y) (in ₹ crore)Savings (in ₹ crore)Average Propensity to Consume (APC)Marginal Propensity to Save (MPS)
0(–) 30––
100………1………
200………0·85………
300………0·8……… .

OR (b) “In an economy, ex-ante Aggregate Supply is less than ex-ante Aggregate Demand.” Explain its impact on the level of output, income and employment.

Uttarakhand UbseCBSE Class XII Board 2024Subjective· 4mImportance★★★★★
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Part (a): Savings = 0, 30, 60 crore at Y = 100, 200, 300; MPS constant at 0·3; consumption function C=30+0.7YC = 30 + 0.7Y (so C=170C = 170 at Y = 200).

Part (b): Ex-ante AD > AS is excess demand → inventories fall → firms raise output → income and employment rise via the multiplier until AS = AD again.

Part (a)

The rows are linked by the identities Y=C+SY = C + S, APC=C/Y\text{APC}=C/Y and MPS=ΔS/ΔY\text{MPS}=\Delta S/\Delta Y.

Y=C+S,APC=CY,MPS=ΔSΔYY = C + S, \qquad \text{APC} = \frac{C}{Y}, \qquad \text{MPS} = \frac{\Delta S}{\Delta Y}

  • Y=0Y=0: S=−30S=-30, so C=0−(−30)=30C = 0-(-30)=30 — this ₹30 crore is autonomous consumption.
  • Y=100Y=100: APC =1⇒C=1×100=100=1 \Rightarrow C = 1\times100 = 100; S=100−100=0S = 100-100 = 0. ΔS=0−(−30)=30⇒MPS=30/100=0.3\Delta S = 0-(-30) = 30 \Rightarrow \text{MPS} = 30/100 = 0.3.
  • Y=200Y=200: APC =0.85⇒C=0.85×200=170=0.85 \Rightarrow C = 0.85\times200 = 170; S=200−170=30S = 200-170 = 30. ΔS=30−0=30⇒MPS=0.3\Delta S = 30-0 = 30 \Rightarrow \text{MPS} = 0.3.
  • Y=300Y=300: APC =0.8⇒C=0.8×300=240=0.8 \Rightarrow C = 0.8\times300 = 240; S=300−240=60S = 300-240 = 60. ΔS=60−30=30⇒MPS=0.3\Delta S = 60-30 = 30 \Rightarrow \text{MPS} = 0.3.

Completed table:

Income YY (₹ cr)Savings SS (₹ cr)APCMPS
0–30––
10001·00·3
200300·850·3
300600·80·3

Since MPS is constant at 0·3, MPC =1−0.3=0.7= 1 - 0.3 = 0.7 and the consumption function is linear:

C=Cˉ+MPC⋅Y=30+0.7YC = \bar{C} + \text{MPC}\cdot Y = 30 + 0.7Y …

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