If the average product of 30 workers is 100 bushels of wheat and the average product of 31 workers of wheat is 98 bushels of wheat, then the marginal product of the 31st worker was ___________ bushels of wheat.

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28-10-2022
Business

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If the average product of 30 workers is 100 bushels of wheat and the average product of 31 workers of wheat is 98 bushels of wheat, then the marginal product of the 31st worker was ___________ bushels of wheat.

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ayune ayune · Answer 1 · 2022-11-02T06:54:17-04:00

As hiring another worker will decrease the average production to 98 bushels of wheat, the marginal product of the 31st worker is 38 bushels of wheat.

The marginal product of labor is the change of output generated by hiring 1 unit labor.

It can be expressed as:

MPL = (Q2 - Q1) / (L2 - L1)

Where:

Q = total production

L = number of workers

Data from the problem:

Q1 = 30 x 100 = 3000 bushels of wheat

L1 = 30 workers

Q2 = 31 x 98 = 3038 bushels of wheat

L2 = 31

Plug these parameters into the formula:

MPL = (3038 - 3000) / (31 - 30) = 38

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