Learn Before
Figure 2.6: The Five Available Technologies for Cloth Production
Figure 2.6 provides a visual representation of five different technologies available for producing 100 meters of cloth. This model, which is central to understanding a firm's choice of production method, outlines the specific inputs required for each technology. The inputs considered are labor, measured in the number of workers, and energy, measured in tons of coal. Each of the five technologies is depicted as a distinct point on the diagram.
0
1
Contributors are:
Who are from:
Tags
Social Science
Empirical Science
Science
Economy
CORE Econ
The Economy 1.0 @ CORE Econ
Ch.2 Technology, Population, and Growth - The Economy 1.0 @ CORE Econ
Economics
Introduction to Microeconomics Course
Ch.2 Technology and incentives - The Economy 2.0 Microeconomics @ CORE Econ
Related
Technology C: Input Coordinates (3, 7)
Technology D: Input Coordinates (5, 5)
Technology E: Input Coordinates (10, 1) and Coal-to-Labor Ratio
Technology A: An Energy-Intensive Method with Coordinates (1, 6)
Figure 2.6: The Five Available Technologies for Cloth Production
Drawing Conclusions from Figure 2.10
Technology B: A Labor-Intensive Method with Coordinates (4, 2)
A firm can produce 100 meters of cloth using one of the four technologies listed below. Each technology requires a specific combination of labor (number of workers) and energy (tons of coal).
- Technology A: 1 worker, 6 tons of coal
- Technology B: 4 workers, 2 tons of coal
- Technology C: 3 workers, 7 tons of coal
- Technology D: 10 workers, 1 ton of coal
Assuming the firm's goal is to minimize costs, which technology would it be irrational for the firm to ever choose, regardless of the wages for labor or the price of coal?
Cost-Minimizing Technology Choice
A firm produces 100 meters of cloth. Initially, the wage is £10 per worker and the price of coal is £20 per ton. Under these conditions, the firm uses 'Technology B' (4 workers, 2 tons of coal), as it is the most cost-effective option. Now, imagine the wage for workers rises to £30, while the price of coal remains at £20 per ton. Given the available technologies below, which one will the firm switch to in order to minimize its costs?
A firm can produce 100 meters of cloth using various technologies, each defined by a specific combination of labor (workers) and energy (tons of coal). Analyze the input requirements for each technology listed below and match it to the correct description of its input intensity.
A firm analyzes several technologies, represented as points on a graph with labor on the horizontal axis and energy on the vertical axis. An isocost line is drawn, showing all combinations of labor and energy that cost exactly £1000. What can be concluded about a technology if its corresponding point lies in the region of the graph above the £1000 isocost line?
Impact of Input Price Changes on Technology Choice
A firm uses a model to decide which production technology to use. The model is represented on a graph where the horizontal axis measures the number of workers (labor) and the vertical axis measures the tonnes of coal (energy). Isocost lines are drawn on this graph to show all combinations of labor and energy that result in the same total cost. What does the slope of an isocost line represent in this model?
Evaluating a Firm's Technology Investment Decision
A manufacturing firm uses a model to select the most cost-effective production technology. This model is visualized on a graph where the horizontal axis represents the number of workers (labor) and the vertical axis represents tons of coal (energy). An isocost line on this graph shows all combinations of labor and coal that have the same total cost. If the price of coal increases while the wage for labor stays the same, how will the isocost line change?
Minimizing Production Costs
Learn After
Simplified Graphical Representation of Technologies
Comparative Input Data for Five Cloth Production Technologies
Axes and Coordinates for the Technology Comparison Graph
Drawing Conclusions from Figure 2.6
A firm can produce 100 meters of cloth using one of five available technologies, each with different requirements for labor (number of workers) and energy (tons of coal), as shown below:
- Technology A: 1 worker, 6 tons of coal
- Technology B: 4 workers, 2 tons of coal
- Technology C: 3 workers, 7 tons of coal
- Technology D: 5 workers, 5 tons of coal
- Technology E: 10 workers, 1 ton of coal
A technology is considered inefficient if another available technology can produce the same output using less of at least one input without using more of any other input. Based on this definition, which of the following technologies is inefficient?
Cost-Minimization for Cloth Production
Evaluating Production Technologies
Consider two methods for producing 100 meters of cloth. Method C requires 3 workers and 7 tons of coal. Method A requires 1 worker and 6 tons of coal. Based on this information, a profit-maximizing firm would always choose Method A over Method C, regardless of the wages paid to workers or the price of coal.
Five distinct technologies are available to produce a standard batch of cloth. Match each named technology to the combination of labor (workers) and energy (tons of coal) it requires.
Strategic Technology Selection Based on Input Costs
Adapting Production Strategy to Input Price Changes
A firm can produce a specific quantity of cloth using one of five available technologies, each requiring a different combination of labor (number of workers) and energy (tons of coal), as detailed in the table below. Note that technologies C and D are inefficient as other technologies use fewer inputs.
Technology Number of Workers Tons of Coal A 1 6 B 4 2 C 3 7 D 5 5 E 10 1 Under which of the following economic conditions would a profit-maximizing firm be most likely to choose Technology E over the other available efficient technologies (A and B)?
Calculating Input Price Ratios for Technology Choice
A company produces a standard amount of cloth and is currently using a technology that requires 4 workers and 2 tons of coal. If the price of coal were to increase significantly while the cost of labor stayed the same, a profit-maximizing company would logically consider switching to an available technology that uses more workers but less coal.