Production Technology Decision
A manufacturing firm needs to produce a batch of goods. It has three available production technologies, each with different requirements for labor and coal:
- Technology A: Requires 10 workers and 2 tonnes of coal.
- Technology B: Requires 6 workers and 4 tonnes of coal.
- Technology C: Requires 2 workers and 8 tonnes of coal.
Initially, the wage for a worker is $20, and the price of coal is $30 per tonne. Later, the price of coal falls to $10 per tonne, while the wage remains unchanged.
Based on this information, identify the cost-minimizing technology for the firm in both price scenarios and explain why the optimal choice changes.
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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?
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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.
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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.
The cost of labor is expected to remain stable, but the price of coal is projected to decrease significantly. Which statement most accurately analyzes the potential impact of this input price change on the company's choice of production method?
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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.
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