A furniture company needs to produce 100 chairs. It is considering two different production methods. Method A requires 20 hours of skilled labor and 50 units of machine time. Method B requires 40 hours of skilled labor and 15 units of machine time. If the cost of skilled labor is $25 per hour and the cost of machine time is $10 per unit, which method should the company choose to minimize its production costs?
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Production Technology Decision
A factory manager observes that the price of electricity has risen sharply, while the wages for manual laborers have remained stable. Based on this, the manager's intuition is to switch to a more labor-intensive production technology. According to the principles of economic decision-making, what is the most critical reason for the manager to construct a formal cost model before making this change?
Evaluating Production Decisions: Intuition vs. Formal Models
A furniture company needs to produce 100 chairs. It is considering two different production methods. Method A requires 20 hours of skilled labor and 50 units of machine time. Method B requires 40 hours of skilled labor and 15 units of machine time. If the cost of skilled labor is $25 per hour and the cost of machine time is $10 per unit, which method should the company choose to minimize its production costs?
Justifying Formal Cost Models
A firm manager, observing a significant decrease in the price of labor relative to capital, can correctly conclude that the most labor-intensive production technology available is now the definitive least-cost option, even without performing a detailed cost calculation.
A manufacturing firm is evaluating its production methods after a significant and permanent 50% decrease in the cost of robotic machinery, a key input. The firm's production manager intuitively suggests immediately switching to the most robot-intensive production technology available, as it uses the most of the now-cheaper input. Which of the following statements best analyzes the manager's suggestion from an economic perspective?
Evaluating an Intuitive Production Decision
A textile factory produces a standard batch of fabric using a combination of labor and machinery. Initially, the wage for labor is $5 per hour and the rental cost of machinery is $20 per hour. After calculating the total cost for all available methods, the firm determines that Technology P is the cheapest option. Later, the minimum wage increases to $10 per hour, while the machinery cost remains unchanged. Given the input requirements below for producing one batch, which technology should the factory now adopt to minimize its costs?
- Technology P: 12 hours of labor, 2 hours of machinery
- Technology Q: 7 hours of labor, 4 hours of machinery
- Technology R: 3 hours of labor, 7 hours of machinery
A firm uses two inputs, labor and capital, to produce its goods. It is currently using a production method that is relatively capital-intensive. A new government policy significantly reduces the cost of labor. A manager suggests that the firm should immediately switch to the most labor-intensive production method available because labor is now much cheaper. Which statement provides the best economic evaluation of the manager's suggestion?