Final answer:
The total manufacturing cost added during the year cannot be determined without additional information. To conduct a cost analysis of production methods, you must multiply the updated machine and labor costs by the number of units used for each technology and then compare the totals to find the most cost-effective method.
Step-by-step explanation:
The total manufacturing cost added to work in process during the year is not explicitly provided in the initial context. We need additional financial figures to accurately calculate this figure; however, without that information, we cannot determine the answer from the options provided (A) $50,000, (B) $75,000, (C) $100,000, or (D) $125,000.
For the cost analysis of production methods with updated machine and labor costs, one would need to evaluate the updated costs of each technology or method to determine the total cost for each. Direct costs for labor and machine use would be multiplied by the number of units of labor and machines for each technology. Then you would compare the total costs to decide which production method is most economical.
As an example, using the cost of technology 1, if machines cost $50 and 10 are required, the total cost for machines is 10 x $50 = $500. If labor stays at $40 and we assume one unit of labor, the additional cost is $40. Adding these together, the total cost for technology 1 would be $500 + $40 = $540. You would perform similar calculations for technologies 2 and 3.