Cost Minimization with New Input Prices
A firm can produce a standard batch of its product using one of three different technologies, each requiring a different combination of labor and coal. The daily wage for a worker is £10, and the price of coal is £5 per ton. Using the table below, calculate the total cost for each technology and identify which one the firm should choose to minimize its costs. Show your calculations.
| Technology | Number of Workers | Tons of Coal |
|---|---|---|
| A | 6 | 2 |
| B | 4 | 5 |
| C | 2 | 8 |
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Cost Scenario: Wage £10, Coal Price £5
Technology Choice and Input Price Changes
A firm produces a specific quantity of output and can use different combinations of labor and coal. The wage for a worker is fixed at £10. The price of coal has just fallen to £5 per ton. The table below shows three available production technologies. To minimize production costs, which technology should the firm now choose?
Technology Number of Workers Tons of Coal A 2 10 B 8 2 C 5 5 Cost Minimization with New Input Prices
A manufacturing firm can use one of three different technologies to produce a specific quantity of output. The wage for a worker is £10, and the price of coal has just fallen to £5 per ton. Match each technology, described by its input requirements, with its total production cost.
A firm is choosing between several production technologies. The wage for a worker is £10, and the price of coal has just fallen to £5 per ton. True or False: Following this price change, the firm will always choose the production technology that uses the greatest quantity of coal to minimize its costs.
A firm needs to produce a certain amount of output and has three technologies available, as shown in the table below. The wage for a worker is £10, and the price of coal has just fallen to £5 per ton. Given these input prices, the minimum cost to produce the output is £____.
Technology Number of Workers Tons of Coal X 4 6 Y 2 12 Z 7 3 Analysis of Production Technology Choice
A firm is re-evaluating its production methods after the price of coal fell to £5 per ton, while the wage for a worker remained at £10. Arrange the following steps in the logical order a cost-minimizing firm would follow to determine the most efficient production technology.
A factory uses two inputs: labor and coal. The wage for a worker is £10. When the price of coal was higher, the firm found it cheapest to use Technology P, which requires 6 workers and 3 tons of coal. Now, the price of coal has fallen to £5 per ton. The firm is also considering Technology Q, which uses 3 workers and 8 tons of coal. A manager argues that since the cost of using Technology P has fallen, there is no need to switch.
Which statement best analyzes the manager's argument from a cost-minimization perspective?
Evaluating a Production Decision