Evaluating a Manager's Production Strategy
A firm produces a specific quantity of output and can use one of three efficient methods: Method A (1 worker, 6 tons of coal), Method B (4 workers, 2 tons of coal), or Method E (10 workers, 1 ton of coal). The current wage is £20 per worker and the price of coal is £30 per ton, and the firm correctly uses Method B. A new environmental tax is proposed that would double the price of coal. A manager argues, 'We should stick with Method B. It's a balanced, middle-ground option that is less reliant on energy than A and less reliant on labor than E, so it will remain the best choice.' Critically evaluate the manager's conclusion AND their reasoning. Justify your answer with cost calculations.
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A firm can produce a specific quantity of output using one of three efficient production methods. The input requirements for each method are as follows:
- Method A: 1 worker and 6 tons of coal
- Method B: 4 workers and 2 tons of coal
- Method E: 10 workers and 1 ton of coal
If the wage for a worker is £40 and the price of a ton of coal is £10, which method is the most cost-effective for the firm to choose?
A firm can produce a specific quantity of output using one of three efficient production methods. The input requirements for each method are as follows:
- Method A: 1 worker and 6 tons of coal
- Method B: 4 workers and 2 tons of coal
- Method E: 10 workers and 1 ton of coal
If the firm determines that Method B is the most cost-effective option, what must be true about the ratio of the wage (w) to the price of coal (p)?
A manufacturing firm can produce a specific quantity of output using one of three different, efficient methods, each requiring a different mix of labor and energy. Match each economic scenario to the most cost-effective production method the firm should choose.
Technology Choice Indifference Point
Adapting Production to Changing Labor Costs
Evaluating a Production Strategy Claim
A company produces a specific quantity of output and is currently using a production method that requires 4 workers and 2 tons of coal. If a new government policy causes the price of coal to double while wages for workers remain the same, the company should switch to a method that uses 1 worker and 6 tons of coal to minimize its production costs.
Evaluating a Manager's Production Strategy
A firm can produce a certain amount of output using one of three methods, which vary in their use of labor and coal. The methods are plotted on a graph with the number of workers on the horizontal axis and tons of coal on the vertical axis:
- Method A: (1 worker, 6 tons of coal)
- Method B: (4 workers, 2 tons of coal)
- Method E: (10 workers, 1 ton of coal)
Initially, labor is cheap relative to coal, and the firm finds Method E to be the least costly. If the wage rate for workers were to triple while the price of coal was cut in half, how would the firm's cost-minimizing choice of technology be affected?
Designing an Economic Scenario for Technology Choice