Determining the Technology Switching Point
Based on the provided scenario, calculate the price of coal per ton at which the total cost of production is exactly the same for both methods. Then, explain which method the firm should choose if the actual market price of coal falls below this calculated price point.
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Condition for Choosing Energy-Intensive Technology A
A factory can produce 100 meters of cloth using two different technologies. Technology P requires 4 workers and 2 tons of coal. Technology Q requires 2 workers and 5 tons of coal. The wage for a worker is £20, and the price of coal is initially £30 per ton. If the price of coal drops to £10 per ton while the wage remains constant, what is the most cost-effective decision for the factory?
Determining the Technology Switching Point
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A uniform percentage decrease in the price of an input, such as coal, will result in an equal percentage reduction in total production costs for all available production technologies that use that input.
A firm can produce a set quantity of goods using one of three available technologies, each using a different combination of labor and energy. Match each input price scenario to the technology that would be the most cost-effective for the firm to use.
Technology Descriptions:
- Technology X: Requires 2 workers and 8 units of energy.
- Technology Y: Requires 7 workers and 3 units of energy.
- Technology Z: Requires 4 workers and 5 units of energy.
Analyzing the Shift in Production Technology
Comparative Technology Choice
Factory Location and Technology Selection
A company can produce a specific quantity of goods using two different methods:
- Method 1 (Labor-Intensive): Requires 50 hours of labor and 10 tons of coal.
- Method 2 (Energy-Intensive): Requires 20 hours of labor and 25 tons of coal.
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A firm can produce a specific quantity of goods using two different methods. Technology X requires 4 workers and 2 tonnes of coal. Technology Y requires 1 worker and 6 tonnes of coal. Initially, the wage is $10 per worker and coal costs $20 per tonne. Later, the price of coal drops to $5 per tonne, while the wage stays the same. Which statement best analyzes the firm's most cost-effective production choice after the price change?
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A manufacturing firm is considering two production technologies. Technology A is labor-intensive, and Technology B is energy-intensive. If the price of energy falls significantly while wages remain constant, the total production cost for both technologies will decrease by the same percentage.
Impact of Input Price Changes on Technology Choice
A firm is evaluating different technologies to produce a set quantity of output. After a recent market change, the wage for a worker is £20 and the price of coal is £10 per tonne. Match each production technology, defined by its required inputs, with its total cost under these new prices.
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A company produces goods using various technologies, some more reliant on energy than others. Imagine the price of coal, a key energy input, decreases significantly while other costs, like wages, remain stable. Arrange the following statements into the correct logical sequence to describe the economic consequences of this price change.
Critiquing an Economic Argument
Evaluating a Business Strategy