Question

macro unit 2.3 unemployment f.r.q. ap classroom
include correctly labeled diagrams, if useful or required, in explaining your answers. a correctly labeled diagram must have all axis and curves clearly labeled and must show directional changes. if the question prompts you to \calculate\, you must show how you arrived at your answer.
the following table shows employment data for country zs working-age population.
(a)calculate the unemployment rate for country z. show your work.
(b)calculate the labor force participation rate for country z.
(c)is country z currently producing at its potential real output? explain.
(d)assuming constant opportunity costs, draw a correctly labeled graph of country as ppc, showing consumer goods on the horizontal axis and capital goods on the vertical axis. label a point w on the graph that reflects the current level of unemployment.

Explanation:

Step1: Calculate total unemployed

Total Unemployed = Cyclically Unemployed + Frictionally Unemployed + Structurally Unemployed
$4,000 + 1,000 + 2,000 = 7,000$

Step2: Calculate labor force

Labor Force = Total Unemployed + Employed
$7,000 + 63,000 = 70,000$

Step3: Compute unemployment rate

Unemployment Rate = $\frac{\text{Total Unemployed}}{\text{Labor Force}} \times 100\%$
$\frac{7,000}{70,000} \times 100\% = 10\%$

Step4: Calculate working-age population

Working-Age Population = Labor Force + Not in Labor Force
$70,000 + 30,000 = 100,000$

Step5: Compute labor force participation rate

Labor Force Participation Rate = $\frac{\text{Labor Force}}{\text{Working-Age Population}} \times 100\%$
$\frac{70,000}{100,000} \times 100\% = 70\%$

Step6: Analyze potential output status

Potential output occurs when only natural unemployment exists (no cyclical unemployment). Country Z has 4,000 cyclically unemployed workers, so resources are underutilized.

Step7: Describe PPC graph details

The PPC is a downward-sloping straight line (constant opportunity costs) with "Consumer Goods" on the x-axis and "Capital Goods" on the y-axis. Point W is located inside the PPC, representing inefficient production due to unemployment.

Answer:

(a) Unemployment rate: $10\%$
(b) Labor force participation rate: $70\%$
(c) No, Country Z is not producing at its potential real output. The presence of cyclical unemployment means there are unused labor resources, so the economy is operating below full employment (potential output).
(d)

• Draw a downward-sloping straight line (PPC) with x-axis labeled "Consumer Goods" and y-axis labeled "Capital Goods".
• Label a point W inside the PPC line (not on the line or outside) to reflect the current unemployment and underutilization of resources.