Production Inefficiency with Input Changes
A company produces a specific good using a technology where 1 worker and 3 machines are required to produce 10 units. The output scales proportionally with inputs (e.g., 2 workers and 6 machines produce 20 units). The company currently employs 10 workers and 30 machines. Due to a sudden increase in wages, a manager suggests reducing the workforce to 8 workers while keeping the number of machines at 30 to cut costs. Analyze the effect of this proposed change on the company's total output and explain your reasoning based on the properties of the production technology described.
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- Method A requires 5 workers and 2 tons of coal.
- Method B requires 2 workers and 6 tons of coal.
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Production Inefficiency with Input Changes
Production Inefficiency with Input Changes
A manufacturing process requires a strict input ratio of 2 workers for every 1 machine. A firm using this process observes that doubling the number of workers and machines results in a 150% increase in total output. Based on this information, is it true that this production technology exhibits both fixed proportions and constant returns to scale?
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A company manufactures a product using a technology that requires a fixed ratio of inputs and exhibits constant returns to scale, meaning the cost per unit does not change with the production volume. The company has two production methods available:
- Method X: Uses a large amount of labor and a small amount of machinery.
- Method Y: Uses a small amount of labor and a large amount of machinery.
Currently, the company uses Method X. If a new regulation causes the cost of labor to increase significantly while the cost of machinery stays the same, which of the following outcomes is the most likely long-term response for the company?
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