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Question 98 of 104

Q.Choose the correct consumption function from the options given below with reference to the illustrated given diagram. (Diagram: X-axis = Income, Y-axis = Consumption; a 45° Income Line; a consumption curve C with a positive intercept of 100; equilibrium point E where the C curve cuts the 45° line; dashed lines mark C = 280 at one income level and C = 700 at income = 800.) Options : (A) C = 100 + 0.7Y (B) C = 100 + 0.8Y (C) C = 100 – 0.7Y (D) C = 100 – 0.8Y

CBSE Class 12 Economics determination of income and employment: consumption function C = 100 + 0.8Y on a 45-degree income line diagram, with autonomous consumption 100 and break-even point E where C = Y = 500.
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Punjab PsebCBSE Class XII Board 2026MCQ· 1mImportance★★★★★
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The consumption curve has autonomous consumption Cˉ=100\bar{C}=100 (its vertical intercept) and its slope is the MPC. Using the break-even point EE where the curve cuts the 45°45° line (C=Y=500C=Y=500), the MPC works out to exactly 0.80.8, so the consumption function is C=100+0.8YC = 100 + 0.8Y — option (B).


The consumption function and its components

A consumption function describes the relationship between national income YY and aggregate consumption CC. The standard Keynesian form is

C=Cˉ+c YC = \bar{C} + c \, Y

where Cˉ\bar{C} is autonomous consumption (consumption when income is zero — the vertical intercept) and cc is the marginal propensity to consume (MPC), the fraction of each additional rupee of income spent on consumption, and geometrically the slope of the line.

The diagram gives us two facts. First, the consumption curve has a positive vertical intercept of 100100, so Cˉ=100\bar{C} = 100. Second, the curve is upward-sloping, which immediately rules out options (C) and (D): a negative coefficient would mean consumption falls as income rises, contradicting both theory and the diagram.


Finding the MPC from the break-even point

The cleanest way to read the slope off this diagram is the break-even point EE, where the consumption curve intersects the 45°45° line. Along the 45°45° line every point satisfies C=YC = Y, so at EE consumption exactly equals income. From the diagram, this occurs at Y=C=500Y = C = 500.

Substituting Cˉ=100\bar{C} = 100 and the point (Y,C)=(500,500)(Y, C) = (500, 500) into C=Cˉ+cYC = \bar{C} + cY:

500=100+c(500)500 = 100 + c(500)

400=500c400 = 500c

c=400500=0.8c = \frac{400}{500} = 0.8 …

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