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Keynes Postulated That the Marginal Propensity to Consume (MPC=ΔCΔYpd)\left( \mathrm { MPC } = \frac { \Delta C } { \Delta Y _ { p d } } \right)

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Keynes postulated that the marginal propensity to consume (MPC=ΔCΔYpd)\left( \mathrm { MPC } = \frac { \Delta C } { \Delta Y _ { p d } } \right) is between zero and one. He also hypothesized that the average propensity to consume (APC =CYpd= \frac { C } { Y _ { p d } } ) would fall as personal disposable income YpdY _ { p d } increased. (a)Specify a linear consumption function.Show that the assumption of a falling APC
implies the presence of a positive intercept.

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