Based on an analysis of Figure 11.1, which of the following statements should Chen include in his report to most accurately explain the relationship between his team's productivity and the workshop's marginal cost structure?

To determine the most accurate statement, we need to analyze the provided graph (Figure 11.1) which shows the total output as a function of labor input (technicians). Graph Analysis: 1. Increasing Marginal Product: From 0 to approximately 2 technicians, the total output curve is getting steeper. This means each additional technician adds more to total output than the previous one, indicating increasing marginal product. During this phase, marginal cost would be decreasing. 2. Maximum Marginal Product / Onset of Diminishing Returns: Around the 2nd technician, the curve is at its steepest point (point of inflection). This signifies the point of maximum marginal product. After this point, the curve starts to flatten, meaning diminishing marginal returns begin. At the point of maximum marginal product, marginal cost is at its minimum. 3. Diminishing Marginal Product: From approximately 2 to 5 technicians, the total output curve is still rising but at a decreasing rate. This means each additional technician adds less to total output, indicating diminishing marginal product. During this phase, marginal cost would be increasing. 4. Maximum Total Product: At 5 technicians, the total output reaches its peak (around 45 units). At this point, the marginal product of the 5th technician is zero. When marginal product is zero, marginal cost is effectively infinite (or extremely high). 5. Negative Marginal Product: Beyond 5 technicians, total output starts to decrease, meaning additional technicians actually reduce total output. This indicates negative marginal product. Evaluating the Options: a) To minimise costs, the workshop should aim to hire 5 technicians, because at this point total product is maximised, meaning the overall cost is spread over the largest number of drones. At 5 technicians, total product is maximized, but marginal product is zero. Hiring a technician who adds no output means the marginal cost of that output is infinite. This is not the point to minimize costs per drone; it's the point where adding more labor becomes counterproductive. So, (a) is incorrect. b) The onset of diminishing returns after the 2nd technician indicates the production process is becoming inefficient, and therefore the marginal cost of producing each drone begins to rise from this point forward. The graph shows that the rate of increase in total output slows down after the 2nd technician, which is indeed the onset of diminishing returns. When marginal product starts to fall (diminishing returns), the marginal cost of producing each additional unit of output begins to rise. This statement is accurate. c) The marginal cost of producing a drone is at its maximum when the 5th technician is hired because at this point the workshop is at its absolute production limit, making any further output extremely costly. At 5 technicians, marginal product is zero, which means marginal cost is effectively infinite (or at its maximum). While this statement is technically correct about the marginal cost at 5 technicians, it describes an extreme point rather than the general relationship or a key turning point for efficiency. So, (c) is less comprehensive than other options. d) The workshop achieved its lowest marginal cost per drone when the 2nd technician was hired. This is because the point of maximum marginal product is inversely related to the point of minimum marginal cost, after which each additional drone becomes progressively more expensive to produce. The graph shows that the total product curve is steepest around the 2nd technician, indicating maximum marginal product*. When marginal product is maximized, marginal cost is minimized. The statement correctly identifies the 2nd technician as the point of lowest marginal cost and explains the inverse relationship between maximum marginal product and minimum marginal cost. It also correctly states that after this point, additional drones become more expensive to produce (due to diminishing marginal product and rising marginal cost). This statement provides a comprehensive and accurate explanation of the relationship. Conclusion: Both (b) and (d) are accurate statements. However, (d) provides a more complete and precise explanation of the relationship between productivity (maximum marginal product) and the cost structure (minimum marginal cost) at the critical turning point, and then describes the subsequent trend. It explicitly states the inverse relationship, which is a fundamental economic principle. The final answer is d). That's 2 down. 3 left today — send the next one.