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Complete the following table for the consumption function: C = $400 + 0

Economics Dec 18, 2020

Complete the following table for the consumption function: C = $400 + 0.75Y. (Round all answers to three decimal places.)

Real GDP (Y) Average Propensity to Consume (APC) Average Propensity to Save (APS)
$10,000    
$11,000    
$12,000    
$13,000    
$14,000    
$15,000

Expert Solution

The table is completed below and extended to include consumption (C) and saving (S).

Y ($) C ($) S ($) APC APS
10,000 7,900 2,100 0.790 0.210
11,000 8,650 2,350 0.786 0.214
12,000 9,400 2,600 0.783 0.217
13,000 10,150 2,850 0.781 0.219
14,000 10,900 3,100 0.779 0.221
15,000 11,650 3,350 0.777 0.223

C is derived from Y using the consumption function. For example, when Y is $13,000, C is:

  • C = $400 + 0.75Y = $400 + (0.75)($13,000) = $10,150.

S is derived as the residual from subtracting C from Y. For example, when Y is $13,000, S is:

  • S = Y - C = $13,000 - $10,150 = $2,850.

The APC is derived by dividing C by Y. For example, when Y is $13,000:

  • APC = C/Y = $10,150/$13,000 = 0.781.

The APS can be derived in two ways:

  • APS = S/Y = $2,850/$13,000 = 0.219, or
  • APS = 1 - MPC = 1 - 0.781 = 0.219.

Note that from the consumption function equation, MPC remains constant at 0.75 for all levels of Y. However, from the table it can be seen that APC decreases as Y increases. This is because of the constant component of consumption ($400) is spread across higher levels of Y. Because of the residual relationship of APS to APC, APS therefore increases as Y increases.

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