Production Technology Choice Under Changing Input Prices
Given the data below, first calculate the cost of producing one unit of output for both Technology X and Technology Y under the initial price conditions. Then, recalculate the costs after the price of energy changes. Finally, state whether the firm should switch its technology to minimize costs and explain why, based on your calculations.
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A company manufactures a product and is currently using 'Method Y', which requires 20 workers and 10 units of energy. An alternative, 'Method X', requires 10 workers and 20 units of energy. Initially, the wage is $20 per worker and the price of an energy unit is $30. Subsequently, the price of energy falls to $10 per unit, while wages remain unchanged. Based on the principle of cost minimization, what is the most logical response for the company?
Production Technology Choice Under Changing Input Prices
Impact of Relative Input Price Changes on Technology Choice
A firm can produce a batch of goods using one of two methods. Method A requires 10 workers and 2 tons of coal. Method B requires 4 workers and 5 tons of coal. Initially, the wage for a worker is $20, and the price of coal is $10 per ton. Later, the price of coal rises to $25 per ton, while the wage remains unchanged. Which of the following statements correctly analyzes the firm's optimal choice after the price change?
Analysis of Technology Switching in Production
A firm is choosing between two production methods that use different combinations of labor and energy. If the price of energy falls significantly while wages remain constant, the firm will always switch to the more energy-intensive production method.
A firm produces goods using a combination of labor and energy, and can choose between a more labor-intensive technology and a more energy-intensive technology. Match each change in input prices to its most likely economic consequence.
A firm produces a product using a technology that requires 4 workers and 7 units of energy. An alternative technology is available that uses 8 workers and 3 units of energy. Initially, the wage is $30 per worker and the price of energy is $20 per unit. The firm uses the cheaper of the two technologies. Later, the price of energy rises to $40 per unit, while the wage remains constant, causing the firm to switch to the other technology. By making this switch, the firm's cost per unit of production is reduced by $____.
A manufacturing firm uses labor and energy to produce goods. Initially, it uses a specific production technology that is optimal for the current input prices. The price of energy then falls significantly, while the wage for labor remains constant. Arrange the following events in the logical order they would occur as the firm adjusts to this change.
Evaluating a Production Manager's Cost Analysis
Technology A as the Least-Cost Choice for w=£10 and p=£5
Steeper Isocost Line and £50 Cost for Technology B After Price Change
Cost Reduction from Switching to Technology A After Price Change
Profit Increase from Technology Switching Equals Cost Reduction