Choosing a Technology Based on Relative Input Prices
Once technically inefficient technologies are discarded, a firm's choice among the remaining options (like A, B, and E) depends on economic factors, specifically the relative prices of inputs such as labor and coal. Intuition suggests that a labor-intensive technology like E is favored when labor is cheap relative to coal, whereas an energy-intensive technology like A becomes the preferred option when coal is relatively inexpensive. To move beyond intuition and make a precise decision, a formal economic model is required to calculate and compare the costs associated with each technology, thereby identifying the most profitable choice.
0
1
Tags
Social Science
Empirical Science
Science
Economy
CORE Econ
The Economy 1.0 @ CORE Econ
Ch.1 The Capitalist Revolution - 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
The Economy 2.0 Microeconomics @ CORE Econ
Related
Non-Dominance of Technology E
Technology A Dominates Technology C
Technology B Dominates Technology D
Choosing a Technology Based on Relative Input Prices
A company manufactures 100 computer keyboards per day and is evaluating four different production technologies. Each technology uses a specific combination of robotic assembly hours and human labor hours to produce the same output. Based on the goal of eliminating technically inefficient options, which technology should the company immediately discard because it is dominated by another available technology?
Technology Robotic Assembly Hours Human Labor Hours A 2 12 B 4 7 C 5 8 D 7 5 A firm is evaluating different technologies to produce 1,000 units of a product. The input requirements for three potential technologies are shown in the table below.
Technology Machine Hours Labor Hours X 5 10 Y 7 8 Z 6 11 Evaluate the following statement: 'Technology X is dominated by Technology Y.'
Utility Pricing Strategy Analysis
A factory produces 500 widgets per hour. It is considering several production technologies, each using a different combination of labor and machine hours. Based on the table below, match each technology with the correct description of its efficiency relative to the other options.
Technology Labor Hours Machine Hours Alpha 2 8 Beta 3 5 Gamma 4 6 Delta 5 2 Production Efficiency for a Coffee Roastery
Technological Efficiency Analysis
A firm is analyzing five different production technologies (A, B, C, D, and E) to produce 100 units of a product. The coordinates below represent the required units of labor and capital for each technology: (Labor, Capital).
- Technology A: (2, 8)
- Technology B: (4, 5)
- Technology C: (5, 6)
- Technology D: (7, 3)
- Technology E: (9, 2)
Based on the principle of eliminating technically inefficient options, which technology is dominated by another available technology?
Designing a Dominant Production Technology
Manufacturing Firm's Technology Choice Analysis
Evaluating a Production Manager's Decision
A factory produces 500 widgets per hour. It is considering several production technologies, each using a different combination of labor and machine hours. Based on the table below, match each technology with the correct description of its efficiency relative to the other options.
Technology Labor Hours Machine Hours Alpha 2 8 Beta 3 5 Gamma 4 6 Delta 5 2 Choosing a Technology Based on Relative Input Prices
A firm can produce a specific quantity of cloth using several different technologies, each defined by its input requirements of labor (number of workers) and energy (tons of coal). The available technologies are: Technology A (1 worker, 6 tons), Technology B (4 workers, 2 tons), Technology C (3 workers, 7 tons), Technology D (5 workers, 5 tons), and Technology E (10 workers, 1 ton). A technology is considered 'dominated' if another technology exists that uses less of at least one input without using more of any other input. Based on this rule, which statement correctly analyzes the status of Technology E?
Evaluating Production Technology Choices
A technology is considered 'dominated' if another available technology can produce the same output using less of at least one input without using more of any other input. Given the following technologies, represented as (number of workers, tons of coal): Technology A (1, 6), Technology B (4, 2), and Technology E (10, 1).
Statement: Technology E is a non-dominated technology solely because it uses the least amount of coal of all the options.
Production Efficiency Analysis
A firm is evaluating several technologies to produce a fixed amount of output. Each technology uses a different combination of two inputs: labor (number of workers) and coal (tons). A technology is considered 'dominated' if another available technology uses less of at least one input without using more of any other input. Given the full set of available technologies—A (1 worker, 6 tons), B (4 workers, 2 tons), C (3 workers, 7 tons), D (5 workers, 5 tons), and E (10 workers, 1 ton)—match each technology listed below with the correct description of its status.
A technology is considered 'dominated' if another available technology can produce the same output using less of at least one input without using more of any other input. When comparing Technology E (10 workers, 1 ton of coal) to other non-dominated options like Technology A (1 worker, 6 tons of coal), a firm must accept a trade-off. To gain the advantage of Technology E's lower coal requirement, the firm must in turn accept a significantly higher requirement for ________.
A firm has identified three efficient (non-dominated) technologies for producing a certain amount of cloth. Each technology uses a different combination of labor (workers) and energy (tons of coal). The technologies are: Technology A (1 worker, 6 tons of coal), Technology B (4 workers, 2 tons of coal), and Technology E (10 workers, 1 ton of coal). Arrange these technologies in order from MOST labor-intensive to LEAST labor-intensive.
Justifying the Viability of a Production Technology
A firm is evaluating production technologies, where each is defined by its inputs: (number of workers, tons of coal). A technology is 'dominated' if another available technology can produce the same output using less of at least one input without using more of any other. The firm's current efficient options are Technology A (1, 6), Technology B (4, 2), and Technology E (10, 1). A new technology, Technology F (9, 1), is proposed. Which of the following statements correctly analyzes the relationship between Technology F and Technology E?
Designing a Dominant Production Technology
A firm is evaluating several technologies to produce a specific quantity of cloth. Each technology uses a different combination of workers and tons of coal:
- Technology A: 1 worker, 6 tons of coal
- Technology B: 4 workers, 2 tons of coal
- Technology D: 5 workers, 5 tons of coal
- Technology E: 10 workers, 1 ton of coal
Based on the principle that a technology is 'dominated' if another available option uses less of at least one input without using more of any other input, which of the following statements correctly analyzes Technology E's position?
Designing a Dominant Technology
Evaluating Production Efficiency
A firm evaluating production methods should immediately discard Technology E (10 workers, 1 ton of coal) in favor of Technology B (4 workers, 2 tons of coal), because Technology B is a more efficient option by using fewer workers.
A firm evaluating production methods should immediately discard Technology E (10 workers, 1 ton of coal) in favor of Technology B (4 workers, 2 tons of coal), because Technology B is a more efficient option by using fewer workers.
Evaluating Production Efficiency Claims
A firm is considering five technologies for producing a fixed amount of output, each using a different combination of two inputs (workers, 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: (5 workers, 5 tons of coal)
- Technology E: (10 workers, 1 ton of coal)
A technology is 'dominated' if another available technology uses less of at least one input without using more of the other. Which of the following represents the complete set of non-dominated technologies that the firm should consider further?
A firm is evaluating five technologies for producing a fixed amount of output. A technology is 'dominated' if another available technology uses less of at least one input without using more of the other. Based on the input data provided, match each technology with the statement that correctly describes its status.
- 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)
Correcting a Flawed Analysis of Production Technology
A firm is choosing between two methods to produce a fixed quantity of output: Technology A, which requires 1 worker and 6 tons of coal, and Technology E, which requires 10 workers and 1 ton of coal. The statement 'Technology A dominates Technology E because it uses significantly less labor' is a correct assessment.
Choosing a Technology Based on Relative Input Prices
A textile firm is evaluating four different production methods to produce 100 meters of cloth. The resources required for each method are listed below. Assuming the firm's goal is to be as efficient as possible, which method represents an illogical choice that a rational firm would never select, regardless of the specific costs of labor or coal?
Production Efficiency Analysis
A firm is evaluating different technologies to produce one ton of steel. Each technology requires a specific amount of labor (number of workers) and energy (tons of coal). A technology is 'dominated' if another available technology can produce the same output using a smaller quantity of at least one input without using more of any other input.
Technology Data:
- Technology A: 2 workers, 8 tons of coal
- Technology B: 4 workers, 7 tons of coal
- Technology C: 3 workers, 9 tons of coal
- Technology D: 4 workers, 5 tons of coal
Based on the data, match each technology pair with the correct description of their relationship.
A manufacturing firm is assessing two different techniques to produce 1,000 units of a product.
- Technique Alpha requires 2 machine hours and 10 labor hours.
- Technique Beta requires 3 machine hours and 8 labor hours.
Based on this information, Technique Alpha is considered to be the dominant production choice.
Rationale for Eliminating Dominated Technologies
Critique of a Production Decision
A firm is analyzing four production technologies to produce 500 widgets, each requiring a certain number of workers and units of raw material.
- Technology P: 4 workers, 10 units of material
- Technology Q: 5 workers, 8 units of material
- Technology R: 4 workers, 12 units of material
- Technology S: 6 workers, 7 units of material
Based on this data, Technology R is clearly inefficient because it is dominated by Technology ____.
Designing an Inefficient Production Technology
A production manager is analyzing four different methods to assemble one computer server. Each method uses a specific amount of labor (in hours) and a number of standard component units. The manager concludes: 'After reviewing the data, it is clear that Technology Q is the only efficient option we should consider, as it minimizes the number of components used.'
Technology Data (per server):
- Technology P: 10 labor hours, 20 components
- Technology Q: 12 labor hours, 18 components
- Technology R: 10 labor hours, 22 components
- Technology S: 11 labor hours, 20 components
Which of the following statements provides the most accurate evaluation of the manager's conclusion?
A firm wants to choose the most cost-effective way to produce a specific quantity of goods. It has identified several different production technologies, each using different combinations of two inputs (e.g., labor and energy). Arrange the following actions into the correct logical sequence that the firm should follow to make its decision.
Choosing a Technology Based on Relative Input Prices
A textile company is evaluating four different methods to produce 100 meters of cloth. Each method requires a different combination of labor (number of workers) and energy (tons of coal), as detailed in the table below. Assuming the company's goal is to maximize profit, which production method would it never select, regardless of the price of coal or the wage rate for workers?
Method Workers Required Tons of Coal Required Method K 1 6 Method L 3 7 Method M 4 2 Method N 5 5 A manufacturing firm is evaluating two different production techniques to create a single product. Technique Alpha requires 3 machine-hours and 6 labor-hours. Technique Beta requires 2 machine-hours and 5 labor-hours. True or False: If labor becomes exceptionally cheap compared to machine time, a profit-maximizing firm might choose Technique Alpha.
Production Efficiency Analysis
Technological Dominance and Firm Choice
A firm can produce a specific quantity of a product using any of the four technologies listed below. Each technology requires a different combination of two inputs: labor (workers) and capital (machine-hours). Analyze the relationships between these technologies and match each one to its correct description regarding production efficiency.
The Principle of Technological Dominance
Evaluating Production Technology Efficiency
A company can produce a batch of goods using two different techniques. Technique P requires 3 hours of labor and 7 units of raw material. Technique Q requires 4 hours of labor and 5 units of raw material. Based on this information, Technique P is the technologically dominant option.
Manufacturing Process Efficiency
A firm is analyzing two different techniques to produce a single unit of output. On a standard input graph, with labor on the horizontal axis and capital on the vertical axis, Technique 1 is represented by the coordinate point (3, 8) and Technique 2 is represented by the coordinate point (2, 7). Which of the following statements is the most accurate economic conclusion?
Choosing a Technology Based on Relative Input Prices
Production Strategy for a Manufacturing Firm
A firm that successfully produces its target quantity of goods using the least expensive combination of inputs has guaranteed that it will be profitable.
A firm's primary objective is to maximize its profits. Which of the following statements best describes the relationship between this primary objective and the goal of cost minimization?
Analysis of a Production Decision
A firm wants to produce 100 units of a product and has identified several different production technologies. Arrange the following steps in the logical order a profit-maximizing firm would take to choose the best technology.
A firm aims to make as much money as possible. To do this, it must first identify all viable ways to produce its goods and then choose the cheapest one. Match each key concept in this decision-making process with its correct description.
Evaluating a Business Strategy
For a firm to achieve its primary goal of profit maximization, it must first produce its desired quantity of output using a technologically efficient method. The crucial next step is to select the method that achieves ____ for that level of production.
A company can produce 100 widgets using any of the four methods detailed in the table below, each requiring different amounts of labor and capital.
Method Labor (hours) Capital (machine hours) A 10 5 B 12 5 C 8 7 D 10 6 Given that the company's primary goal is to maximize profit, which of the following statements accurately describes the company's decision-making process?
Factory Modernization Decision
Learn After
Algebraic Representation of an Isocost Line
Five Available Technologies for Producing 100 Metres of Cloth
Cost Scenario: Wage £4, Coal Price £6
Condition for Choosing Energy-Intensive Technology A
Formula for Calculating Production Cost
Production Method Decision
A firm produces a specific quantity of cloth and can choose from three production technologies, each using a different combination of labor and coal:
- Technology X: 10 workers, 3 tons of coal
- Technology Y: 6 workers, 6 tons of coal
- Technology Z: 3 workers, 10 tons of coal
Initially, the daily wage for a worker is $20, and the price of coal is $20 per ton. Later, a new regulation increases the minimum wage, raising the cost of a worker to $50 per day, while the price of coal remains unchanged.
Given this change in input prices, which action represents the most cost-effective decision for the firm?
Evaluating Production Advice
A textile factory currently uses a production method that requires a large number of workers but a relatively small amount of coal to produce 1000 meters of fabric. If the price of coal doubles while wages for workers remain the same, the factory should continue using its current production method to minimize costs, assuming other efficient production methods exist that use more coal and fewer workers.
A firm can produce a standard batch of goods using one of three available technologies, each with different input requirements for labor and energy. Match each input price scenario with the technology that represents the most cost-effective choice for the firm.
Rationale for Technology Choice
A manufacturing firm uses a production process that requires 8 workers and 4 tons of coal to produce one batch of its product. If the daily wage for a worker is $30 and the price of coal is $50 per ton, the total cost to produce one batch is $____.
A company can produce a standard batch of goods using one of two available production methods:
- Method Alpha: Requires 8 workers and 2 tons of raw material.
- Method Beta: Requires 3 workers and 7 tons of raw material.
The price of the raw material is fixed at $20 per ton. The company's goal is to select the method that minimizes total production cost. At what specific wage per worker would the company be indifferent, meaning both methods result in the exact same total cost?
A company manufactures a product and has two technically efficient production methods available. Method 1 is capital-intensive, requiring 2 workers and 10 units of machinery. Method 2 is labor-intensive, requiring 8 workers and 4 units of machinery. The cost of one unit of machinery is fixed at $50. The company will choose the method that minimizes its total production cost. Under which condition should the company choose the capital-intensive Method 1?
Condition for Choosing Labor-Intensive Technology E
Diagram for Comparing Efficient Technologies A, B, and E
A firm aims to produce a set quantity of goods and has identified several technically efficient production methods. Each method uses a different combination of two inputs: labor and capital. Arrange the following actions into the correct logical sequence the firm must follow to choose the single most cost-effective production method.
Precision of Economic Models in Technology Choice