Math Problem Statement

The following table shows data on consumption, investments, exports, imports, and government expenditures for the United States in 2020, as published by the Bureau of Economic Analysis. All figures are in billions of dollars. Fill in the missing cells in the table to calculate GDP using the expenditure approach. Data (Billions of dollars) Consumption (C) 14,047.6 Investment (I) 3,637.8 Exports (X) 2,123.4 Imports (M) 2,774.6 Net Exports of Goods and Services Government Purchases (G) 3,859.5 Gross Domestic Product (GDP)

Solution

The expenditure approach for calculating GDP is represented by the formula:

GDP=C+I+G+(XM)GDP = C + I + G + (X - M)

Where:

  • CC: Consumption
  • II: Investment
  • GG: Government Purchases
  • XX: Exports
  • MM: Imports
  • XMX - M: Net Exports of Goods and Services

Step 1: Calculate Net Exports of Goods and Services (XMX - M)

XM=2,123.42,774.6=651.2billion dollarsX - M = 2,123.4 - 2,774.6 = -651.2 \, \text{billion dollars}

Step 2: Calculate GDP

GDP=14,047.6+3,637.8+3,859.5+(651.2)GDP = 14,047.6 + 3,637.8 + 3,859.5 + (-651.2) GDP=20,893.7billion dollarsGDP = 20,893.7 \, \text{billion dollars}

Completed Table:

CategoryValue (Billions of Dollars)
Consumption (C)14,047.6
Investment (I)3,637.8
Exports (X)2,123.4
Imports (M)2,774.6
Net Exports of Goods and Services (XMX-M)-651.2
Government Purchases (G)3,859.5
Gross Domestic Product (GDP)20,893.7

Let me know if you'd like further clarification or have related questions. Here are some that could expand your understanding:

  1. How is the expenditure approach different from the income approach to calculating GDP?
  2. Why are imports subtracted in the GDP calculation?
  3. What role does government spending play in economic growth?
  4. How does negative net export affect a country’s GDP?
  5. How are these figures adjusted for inflation over time?

Tip: Always distinguish between nominal GDP and real GDP when analyzing economic data to account for inflation.

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Math Problem Analysis

Mathematical Concepts

Macroeconomics
Arithmetic Operations
Gross Domestic Product Calculation

Formulas

GDP = C + I + G + (X - M)
Net Exports = Exports (X) - Imports (M)

Theorems

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Suitable Grade Level

Grades 10-12