A firm produces output using the technology y = 1000 KL ² where capital, K, is measured in machine-hours, labor, L, is measured in person-hours, and y denotes the yearly output. The hourly wage rate w = 10, and the hourly rental rate of capital is r = 20. At which point do the short run marginal cost function and the short run average cost function intersect? O y* =√20 O y* = √2 y* =√2,000 Ⓒy* = 2,000

Microeconomic Theory
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Chapter10: Cost Functions
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A firm produces output using the technology
-KL/
y
where capital, K, is measured in machine-hours, labor, L, is measured in person-hours, and y denotes the yearly output.
The hourly wage rate w = 10, and the hourly rental rate of capital is r = 20.
At which point do the short run marginal cost function and the short run average cost function intersect?
1000
Ⓒy* =√20
Oy² = √2
y* =√2,000
Oy* = 2,000
Transcribed Image Text:A firm produces output using the technology -KL/ y where capital, K, is measured in machine-hours, labor, L, is measured in person-hours, and y denotes the yearly output. The hourly wage rate w = 10, and the hourly rental rate of capital is r = 20. At which point do the short run marginal cost function and the short run average cost function intersect? 1000 Ⓒy* =√20 Oy² = √2 y* =√2,000 Oy* = 2,000
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