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