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Draw a graph that shows the usual relationship between the marginal product of labor and the average product of labor. Why do the marginal product of labor and the average product of labor curves have the shapes you drew?

Short Answer

Expert verified
The MPL and APL curves both initially rise due to increased productivity from additional labor. But they both begin to fall after reaching a certain point due to the law of diminishing returns where additional labor starts to reduce overall productivity. The MPL curve intersects the APL curve at its highest point, indicating that once MPL starts to fall, it brings down APL as well.

Step by step solution

01

Define the terms

Firstly, gather all the necessary definitions. The Marginal Product of Labor (MPL) is the additional output that can be created by adding an extra unit of labor. The Average Product of Labor (APL) is the total output divided by the total units of labor.
02

Draw the graph

Using these definitions, sketch a graph. On the X-axis, mark the quantity of labor. On the Y-axis, mark both the MPL and APL. Both curves typically follow the same path: They increase in the beginning and then start to decrease.
03

Draw the MPL curve

Draw the MPL curve. This curve initially rises due to gains from specialization when more labor is added, but it starts to fall eventually as the fixed quantity of other inputs (like land or capital) gets exhausted by the additional labor.
04

Draw the APL curve

Draw the APL curve. This curve generally takes the shape of an inverted-U. It rises in the beginning as additional labor leads to more average output. But, as more labor is employed, it starts to decline under the law of diminishing returns.
05

Explain the Intersection

The MPL curve intersects the APL curve at its maximum point. This is because when the marginal product of labor starts to fall, it pulls down the average product of labor.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Average Product of Labor
The Average Product of Labor (APL) is a crucial concept in production economics. It helps us understand how efficiently labor is being used in the production process. The APL is calculated by taking the total output or production and dividing it by the number of labor units used to produce that output. Mathematically, it can be expressed as: \[ \text{APL} = \frac{\text{Total Output}}{\text{Total Labor}} \]
  • Initially, as more labor is employed, the APL tends to increase because more workers can produce more combined output.
  • However, this increase doesn't last indefinitely. There comes a point where adding more labor does not equate to a higher average product, due to limitations like space or equipment.
  • This turning point in the APL curve is crucial for optimizing labor input in production.
Understanding APL helps firms decide on the optimal amount of labor they should employ to maximize their efficiency and profits. If APL is rising, it indicates labor is used effectively. But once it starts to decline, it signals that adding more labor might not be beneficial without increasing other factors of production.
Law of Diminishing Returns
The Law of Diminishing Returns is a fundamental principle in economics that describes how adding more of one input, like labor, to a certain point will lead to smaller and smaller increases in output. Simply put, more is not always better.
  • In any production process, there are fixed resources, such as land or machinery. As more labor is added, the benefit of each additional worker decreases because these resources are limited.
  • Initially, additional workers might work effectively, increasing production significantly. This is called increasing returns.
  • However, as more labor is added, the production benefit of each extra worker starts to decline. This phase is known as diminishing returns.
  • Eventually, if too many workers are employed, they might get in each other's way, causing overall output to decrease, a situation called negative returns.
The law helps businesses understand when to stop adding labor to maintain production efficiency. It's important for resource management in any production unit, so they can achieve maximum productivity without incurring unnecessary costs.
Specialization in Production
Specialization in production refers to the practice of focusing more resources, including labor, on a specific aspect of the production process to improve efficiency and output. It takes advantage of the unique skills and strengths of workers and processes.
  • When a workforce specializes, it can produce goods faster and with higher quality due to repetitive tasks which improve skills and efficiency.
  • Initially, specialization leads to significant increases in productivity. Workers become more proficient, and the process is streamlined.
  • However, there's a limit to the benefits gained from specialization. Eventually, further increases in labor lead to less proportionate increases in productivity, tying back to the law of diminishing returns.
  • Effective specialization requires balancing labor input with other resources to avoid bottlenecks in production.
This concept not only applies to individual workers or tasks but also to entire regions or countries focusing on certain products or industries. Specialization boosts economic efficiency and can lead to increased trade and innovation globally.

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Most popular questions from this chapter

(This problem is somewhat advanced.) Using symbols, we can write that the marginal product of labor is equal to \(\Delta Q / \Delta L .\) Marginal cost is equal to \(\Delta \mathrm{TC} / \Delta Q .\) Because fixed costs by definition don't change, marginal cost is also equal to \(\Delta \mathrm{VC} / \Delta \mathrm{Q} .\) If jill Johnson's only variable cost (VC) is labor cost, then her variable cost equals the wage multiplied by the quantity of workers hired, or \(w \mathrm{~L}\) a. If the wage Jill pays is constant, then what is \(\Delta V C\) in terms of \(w\) and \(L ?\) b. Use your answer to part (a) and the expressions given for the marginal product of labor and the marginal cost of output to find an expression for marginal cost, \(\Delta \mathrm{TC} / \Delta \mathrm{Q},\) in terms of the wage, \(w,\) and the marginal product of labor, \(\Delta Q / \Delta L\) c. Use your answer to part (b) to determine Jill's marginal cost of producing pizzas if the wage is \(\$ 750\) per week and the marginal product of labor is 150 pizzas. If the wage falls to \(\$ 600\) per week and the marginal product of labor is unchanged, what happens to Jill's marginal cost? If the wage is unchanged at \(\$ 750\) per week and the marginal product of labor rises to 250 pizzas, what happens to Jill's marginal cost?

In describing the optimal size of an investment fund, a writer for the Wall Street Journal observed: … at first, bigger is better for both investors and managers…. Managing money is expensive. Small funds have many fixed costs…. If a fund is small, it can’t generate enough fees to cover costs…. The result is that in terms of performance, funds should want to get big to cover costs and maximize returns, but not so big that diseconomies of scale erode returns. Draw a graph of a long-run average cost curve for a typical firm in the investment fund industry. In your graph, draw and label the following. a. A short-run average total cost curve for an investment fund that has not reached minimum efficient scale b. A short-run average total cost curve for an investment fund that has reached minimum efficient scale c. A short-run average total cost curve for an investment fund that experiences diseconomies of scale d. A range of output within which investment funds experience constant returns to scale

Where does the marginal cost curve intersect the average variable cost curve and the average total cost curve?

In his autobiography, T. Boone Pickens, a geologist, entrepreneur, and oil company executive, wrote: It's unusual to find a large corporation that's efficient.... When you get an inside look, it's easy to see how inefficient big business really is. Most corporate bureaucracies have more people than they have work. Was Pickens describing diminishing returns or diseconomies of scale? Briefly explain.

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