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Data for an economy shows that the unemployment rate is 6 percent, the participation rate is 60 percent, and 20 million people 15 years or older are not in the labour force. How many people are unemployed this economy?

Question

Data for an economy shows that the unemployment rate is 6 percent, the participation rate is 60 percent, and 20 million people 15 years or older are not in the labour force. How many people are unemployed this economy?

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Solution

To find the number of unemployed people in this economy, we need to follow these steps:

  1. First, we need to find the total number of people in the labor force. The labor force is made up of both employed and unemployed individuals. We know that 20 million people are not in the labor force, and that these people make up 40% of the total population (since the participation rate is 60%, meaning 60% of the total population is in the labor force, and therefore 40% is not).

  2. To find the total population, we divide the number of people not in the labor force by the percentage of the total population that they represent. So, 20 million / 0.40 = 50 million people in total.

  3. Now, we can find the number of people in the labor force by multiplying the total population by the participation rate. So, 50 million * 0.60 = 30 million people in the labor force.

  4. Finally, we can find the number of unemployed people by multiplying the number of people in the labor force by the unemployment rate. So, 30 million * 0.06 = 1.8 million people are unemployed in this economy.

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