C = 50 + 0.8Y is the consumption function that is consistent with the provided data. The MPC is determined by subtracting the change in consumption from the change in disposable income, which equals 160/200, or 0.8.
Marginal propensity calculation.
$200 billion less $0 billion equals $200 billion in changes to disposable income.
Consumption change equals $210 minus $50, or $160 billion.
MPC = Change in Consumption/Change in Disposable Income, which equals $160 billion/$200 billion and is equal to 0.8.
There is a 0.8 marginal tendency to consume.
Step 2
This is how consumption function is defined.
C = a + bY
Where,
a = Consumption at zero income level
b = MPC
In given case,
$50 billion would be consumed at a level of income zero.
MPC is 0.8
So,
C = 50 + 0.8Y is the consumption function that matches the provided data.
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