Final answer:
The best production method is Method 1, with a total cost of $9000. If the cost of labor rises to $200/unit, Method 1 would still be the best choice
Step-by-step explanation:
To determine the best production method, we need to calculate the total cost for each method. Let's calculate the total cost for each method with the given cost of labor and capital:
Method 1: Cost = (50* labor cost) + (10* capital cost) = (50*$100) + (10*$400) = $5000 + $4000 = $9000
Method 2: Cost = (20* labor cost) + (40* capital cost) = (20*$100) + (40*$400) = $2000 + $16000= $18000
Method 3: Cost = (10* labor cost) + (70* capital cost) = (10*$100) + (70*$400) = $1000 + $28000 = $29000
Based on these calculations, the best production method is Method 1 with a total cost of $9000. If the cost of labor rises to $200/unit, the total cost for each method will be:
Method 1: $14000, Method 2: $22000, Method 3: $38000.
Therefore, the company should continue using Method 1 as it still has the lowest total cost even with the increased labor cost.