Buzzy Beer是一家在工厂生产瓶装啤酒的公司。以下信息与Buzzy Beer有关：不同员工人数下 Buzzy 啤酒的总产量 [table]
工人数量 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 每小时总产量 | 0 | 1 | 5 | 12 | 18 | 20 | 21 | 21 | 20
[/table] 第二个工人的边际产量是多少？

Question

Buzzy Beer是一家在工厂生产瓶装啤酒的公司。以下信息与Buzzy Beer有关： 不同员工人数下 Buzzy 啤酒的总产量 [table]
工人数量 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 每小时总产量 | 0 | 1 | 5 | 12 | 18 | 20 | 21 | 21 | 20
[/table] 第二个工人的边际产量是多少？

BlackTom AI · Accepted Answer

Marginal product equals the additional output produced when one more worker is hired. For the second worker we compute the increase in total output when going from 1 to 2 workers.

1) Relevant knowledge points and concepts
- Total product (TP): total output produced by a given number of workers.
- Marginal product (MP) of the nth worker: MPn = TP(n) − TP(n−1). It measures the incremental output contributed by that extra worker.

2) Complete reasoning process step by step
- Read the table: TP(0)=0, TP(1)=1, TP(2)=5, TP(3)=12, TP(4)=18, TP(5)=20, TP(6)=21, TP(7)=21, TP(8)=20.
- To find the second worker’s marginal product, compare TP with 2 workers to TP with 1 worker.

3) Calculations with all intermediate steps
- TP(2) = 5
- TP(1) = 1
- MP2 = TP(2) − TP(1) = 5 − 1 = 4

4) Why the correct answer is correct
- By definition MP2 is the extra bottles per hour generated by hiring the second worker. The total output rises from 1 to 5 bottles per hour when the second worker is added, an increase of 4 bottles, so MP2 = 4.

5) Why the other multiple-choice options are incorrect
- a. 0: This would imply no change in output when adding that worker (TP difference = 0). That occurs between 6 and 7 workers (21 → 21), not between 1 and 2.
- b. 7: This is the marginal product of the third worker (TP3 − TP2 = 12 − 5 = 7), not the second.
- c. 5: This is TP(2), the total output with two workers, not the marginal product (the marginal is the difference 5 − 1 = 4).

6) Conclusion
- The marginal product of the second worker is 4, which matches the provided correct answer (d. 4).

类似问题

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77. Marginal product A. diminishes at all levels of production. B. may initially increase, then diminish, but never become negative. C. may initially increase, then diminish, and ultimately become negative. D. is always less than average product.

0 0 1 5 2 20 3 32 4 42 5 50 6 55 7 58 8 58 9 56 58. Refer to the table. With the addition of the second unit of input, the marginal product is A. 15 and the average product is 20. B. 25 and the average product is 10. C. 15 and the average product is 10. D. 10 and the average product is 15.

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