Final answer:
Initially, Method 1 is the most cost-effective at $9000. With a labor cost increase to $200/unit, Method 1 still remains the most cost-effective, with a new total cost of $14000.
Step-by-step explanation:
To determine the best production method for a company based on various costs for labor and capital, we first need to calculate the total costs associated with each method:
- Method 1: (50 units of labor × $100/unit) + (10 units of capital × $400/unit) = $5000 + $4000 = $9000
- Method 2: (20 units of labor × $100/unit) + (40 units of capital × $400/unit) = $2000 + $16000 = $18000
- Method 3: (10 units of labor × $100/unit) + (70 units of capital × $400/unit) = $1000 + $28000 = $29000
Initially, Method 1 is the cheapest with a total cost of $9000. However, if the cost of labor rises to $200/unit, we need to recalculate:
- Method 1: (50 units of labor × $200/unit) + (10 units of capital × $400/unit) = $10000 + $4000 = $14000
- Method 2: (20 units of labor × $200/unit) + (40 units of capital × $400/unit) = $4000 + $16000 = $20000
- Method 3: (10 units of labor × $200/unit) + (70 units of capital × $400/unit) = $2000 + $28000 = $30000
With the increased labor cost, Method 1 remains the most cost-effective with a total cost of $14000.