Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. The table below shows unemployment and labor force statistics for an economy. Actual rate of unemployment 3% Natural rate of unemployment 4% Population of the country 125 million Number of people employed 97 million Number of people unemployed 3 million Number of people employed part time 5 million Number of discouraged workers 2 million (a) Calculate the size of the labor force. Show your work. (b) Calculate the labor force participation rate. Show your work. (c) Given the state of the economy described in the table, is actual real output less than, greater than, or equal to potential real output? Explain. (d) Calculate what the cyclical unemployment rate would be if the actual rate of unemployment increased to 5 percent. Show your work. (e) Suppose discouraged workers reenter the labor force and find employment. Will the actual rate of unemployment increase, decrease, or stay the same?Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate,\" you must show how you arrived at your nal answer. Market Basket of Goods Mocha coffee 100 cups $2.00 per cup $2.50 per cup Meet pudding 50 quarts $1.50 per quart $2.20 per quart Cassava leaf salad 25 packages $1.00 per package $1.20 per package The nation of Kona cultivates coffee beans and cassava, from which all their consumer goods are produced. {a} Calculate the co st of the market basket of goods in the table in 2010 and in 2015. Show your work. (b) Use 2010 as the base year to calculate the price indices for 2010 and 2015 for the market basket of goods in the table. Show your work. (c) in order for a c'rtizen of Ko ha to maintain the same standard of living between 2010 and 2015, what percentage change in nominal income would be needed? Explain