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The demand for labor is a derived demand. What does that mean? Explain how this derived demand depends on the productivity
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Demand for factor resources like labor in particular is a derived demand
Derived demand means that consumers do not directly demand for these factor resources (labor), but do so indirectly by consuming goods and services which these laborers produce
Example:
1. The services of a farm worker are not demanded by households but households do want to consume the food products produced by the farm workers. Hence the demand for the services of a farm worker is a derived demand which is impacted by the consumer demand for the products that the farm workers help produce
2. Demand for automobiles creates a demand for automobile workers

Derived demand depends on the productivity of the laborer and the price of the product. This can be explained through the table below:

Units of labour resource

Total Product

Average Productivity of labour

Marginal Productivity of labour

Product Price ($)

Total Revenue ($)

Marginal Revenue Product ($)

0

0

0

0

4

0

0

1

14

14

14

4

56

56

2

26

13

12

4

104

48

3

36

12

10

4

144

40

4

44

11

8

4

176

32

5

50

10

6

4

200

24

6

54

9

4

4

216

16

7

56

8

2

4

224

8

In the table it can be seen that as 1 additional unit of labor is employed, the total product increases, but the marginal productivity of labor, which is the additional units of output produced by employing 1 additional unit of labor, decreases.
This is due to the law of diminishing marginal productivity
According to The law of diminishing marginal productivity, as additional units of labor are employed, the effectiveness of each additional laborer starts decreasing after a certain point as the output keeps increasing. in the above table, we have assumed that the law of diminishing marginal productivity sets in from the 1st additional unit of labor that is added, for sake of simplicity
We can see from the table that with each new laborer that is added, the average productivity of labor decreases, and the marginal productivity of labor keeps decreasing to the point where if an additional unit of labor is added, marginal productivity will become zero
Hence, it can be said that derived demand for labor depends on the productivity of the laborer as marginal productivity can not be zero if profits need to be maximized
The product price is taken as $4 and is constant as we have assumed a competitive market where the firm is a price taker in the product market
The total revenue and marginal revenue product are calculated on basis of the product price. It can be seen that the marginal revenue keeps decreasing as an additional unit of labor is added. It keeps decreasing to a point where if an additional unit of labor is added, marginal revenue product will become zero, which means that the addition of an additional unit of labor will not bring about any increase in revenue, which is undesirable for a firm that is looking to maximize profits
Hence it can be said that the derived demand for labor depends on the price of the product along with the productivity of the laborer
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