Consider the non-linear aggregate consumption function: C = 0.05Y²+ Y + 80 (Where, C= aggregate consumption and Y= aggregate income). a) Find the marginal propensity to consume (MPC) and the average propensity to consume (APC). b) What is the relationship between MPC and APC in this case? c)What happens to the MPC as Y becomes larger and larger? Is it likely that an aggregate consumption function would have this functional form?

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Chapter18: The Keynesian Model
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Consider the non-linear aggregate consumption function:
C = 0.05Y²+ Y + 80
(Where, C = aggregate consumption and Y = aggregate income).
a) Find the marginal propensity to consume (MPC) and the average propensity to
consume (APC).
b) What is the relationship between MPC and APC in this case?
c)What happens to the MPC as Y becomes larger and larger? Is it likely that an
aggregate consumption function would have this functional form?
d) Find the elasticity of the consumption function and show that it equals the
MPC/APC.
e) Illustrate your solutions to (b) and (c) graphically, showing the consumption
function, the MPC and APC.
Transcribed Image Text:Consider the non-linear aggregate consumption function: C = 0.05Y²+ Y + 80 (Where, C = aggregate consumption and Y = aggregate income). a) Find the marginal propensity to consume (MPC) and the average propensity to consume (APC). b) What is the relationship between MPC and APC in this case? c)What happens to the MPC as Y becomes larger and larger? Is it likely that an aggregate consumption function would have this functional form? d) Find the elasticity of the consumption function and show that it equals the MPC/APC. e) Illustrate your solutions to (b) and (c) graphically, showing the consumption function, the MPC and APC.
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