This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.
ScanSolve AI Answer
Step 1: Calculate Average Product (AP) and Marginal Product (MP) for each level of labor. The formulas used are: Average Product (AP) = Total Product (TP)Labor Marginal Product (MP) = Total Product (TP) Labor Let's fill in the table: | Labor (units) | Total Product (TP) (units) | Average Product (AP) (units) | Marginal Product (MP) (units) | | :------------ | :------------------------- | :--------------------------- | :---------------------------- | | 0 | 0 | - | - | | 1 | 10 | (10)/(1) = 10 | (10-0)/(1-0) = 10 | | 2 | 24 | (24)/(2) = 12 | (24-10)/(2-1) = 14 | | 3 | 40 | (40)/(3) ≈ 13.33 | (40-24)/(3-2) = 16 | | 4 | 50 | (50)/(4) = 12.5 | (50-40)/(4-3) = 10 | | 5 | 56 | (56)/(5) = 11.2 | (56-50)/(5-4) = 6 | | 6 | 57 | (57)/(6) = 9.5 | (57-56)/(6-5) = 1 | | 7 | 56 | (56)/(7) = 8 | (56-57)/(7-6) = -1 | | 8 | 52 | (52)/(8) = 6.5 | (52-56)/(8-7) = -4 | Step 2: State the completed table. The completed table is: |c|c|c|c| Labor (units) & Total Product (TP) (units) & Average Product (AP) (units) & Marginal Product (MP) (units) \\ 0 & 0 & - & - \\ 1 & 10 & 10 & 10 \\ 2 & 24 & 12 & 14 \\ 3 & 40 & 13.33 & 16 \\ 4 & 50 & 12.5 & 10 \\ 5 & 56 & 11.2 & 6 \\ 6 & 57 & 9.5 & 1 \\ 7 & 56 & 8 & -1 \\ 8 & 52 & 6.5 & -4 \\ Step 3: Explain the relationship between AP and MP based on the table. When Marginal Product (MP) is greater than Average Product (AP)* (e.g., at Labor = 2, MP = 14 and AP = 12; at Labor = 3, MP = 16 and AP = 13.33), the Average Product (AP) is increasing. The Average Product (AP)* reaches its maximum value of approximately 13.33 at Labor = 3. At this point, the MP (16) is still greater than AP (13.33). The exact intersection where MP = AP would occur between Labor = 3 and Labor = 4, where AP starts to fall. When Marginal Product (MP) is less than Average Product (AP)* (e.g., at Labor = 4, MP = 10 and AP = 12.5; at Labor = 5, MP = 6 and AP = 11.2), the Average Product (AP) is decreasing. The Marginal Product (MP)* starts to decline earlier than AP, reaching its maximum at Labor = 3 (MP = 16) and then falling, eventually becoming negative (at Labor = 7 and 8). What's next?