Justifying Formal Cost Models
A factory manager observes that the cost of robotic arms for an assembly line has fallen by 20%, while the hourly wage for human workers has remained constant. The manager's intuition is to immediately begin replacing workers with robots. Explain why this intuition alone is an incomplete basis for a decision and describe the specific, crucial information that a formal cost calculation would provide.
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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?