Question

In: Economics

The following table shows a part of the daily labor-output relationship for a firm. In this...

The following table shows a part of the daily labor-output relationship for a firm. In this table q is the quantity of output produced and L the amount of labor required to produce the corresponding level of output. For example, to produce 2 units of output per day we need a total of 50 units of labor and to produce 5 units per day we need a total of 120 units of labor. The wage rate is $40 per day per worker and the fixed cost of production is $3,200. By the way, such a relationship between inputs and outputs is called a production function.

q l
0 0
1 30
2 50
3 60
4 80
5 120
6 190

The marginal cost of producing the fourth unit of output is ________ dollars. Note: Enter the number without a dollar sign, commas, or decimal places.

Solutions

Expert Solution

Quantity Labour Variable cost
@$40 per day
per worker
Fixed Cost Total Cost Marginal Cost
0 0 0 3200 3200
1 30 1200 3200 4400 1200
2 50 2000 3200 5200 800
3 60 2400 3200 5600 400
4 80 3200 3200 6400 800
5 120 4800 3200 8000 1600
6 190 7600 3200 10800 2800
Wage rate is $40 per day per worker
Fixed cost of production is $3,200
The marginal cost of producing the fourth unit of output is 800 dollars

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