The GDP in Switzerland is \( \$ 679 \) billion. The rate of inflation is \( 2.5 \% \). If the population of Switzerland is \( 8,455,000 \), find the per capita GDP in this country. Real GDP \( = \) GDP - (GDP . Inflation Rate) Per Capita GDP \( =\frac{\text { Real GDP }}{\text { Population }} \) Per Capita GDP \( =\$[?] \) Round to the nearest cent.
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To find the Real GDP, we first calculate it using the formula: \[ \text{Real GDP} = \text{GDP} - (\text{GDP} \times \text{Inflation Rate}) \] Plug in the values: \[ \text{Real GDP} = 679\, \text{billion} - (679\, \text{billion} \times 0.025) = 679 - 16.975 = 662.025 \text{ billion} \] Next, we calculate the Per Capita GDP using: \[ \text{Per Capita GDP} = \frac{\text{Real GDP}}{\text{Population}} = \frac{662.025\, \text{billion}}{8,455,000} \] This gives: \[ \text{Per Capita GDP} = \frac{662025000000}{8455000} \approx 78282.39 \] Thus, rounding to the nearest cent, the Per Capita GDP in Switzerland is approximately \( \$78,282.39 \).