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The following table shows the relationship between income and consumption in an economy.Income (Y)(in billions of dollars)Consumption (C) (in billions of dollars)051011201730234029503560417047805390 59100 65Assume that investment (I) is $5 billion, government purchases (G) are $4 billion, and net exports (X) are $2 billion.What is the numerical value of the MPC (stated as a decimal)?MPC =

Question

The following table shows the relationship between income and consumption in an economy.Income (Y)(in billions of dollars)Consumption (C) (in billions of dollars)051011201730234029503560417047805390 59100 65Assume that investment (I) is 5billion,governmentpurchases(G)are5 billion, government purchases (G) are 4 billion, and net exports (X) are $2 billion.What is the numerical value of the MPC (stated as a decimal)?MPC =

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Solution

The Marginal Propensity to Consume (MPC) is calculated by the change in consumption divided by the change in income.

Looking at the table, we can take two points to calculate this. For example, let's take the points where income is 50billionandconsumptionis50 billion and consumption is 36 billion, and where income is 100billionandconsumptionis100 billion and consumption is 65 billion.

The change in consumption (ΔC) is 65billion65 billion - 36 billion = 29billion.Thechangeinincome(ΔY)is29 billion. The change in income (ΔY) is 100 billion - 50billion=50 billion = 50 billion.

So, MPC = ΔC / ΔY = 29billion/29 billion / 50 billion = 0.58.

Therefore, the numerical value of the MPC is 0.58.

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