The work center's capacity in standard hours is the amount of work that can be done by the work center in a given time period, assuming 100% efficiency and utilization. Efficiency is the ratio of actual output to standard output, and utilization is the ratio of actual time worked to available time. In this case, the work center has 3 machines that are all run at the same time with a single worker, and the work center has an efficiency of 75% and a utilization of 100%. This means that the work center produces 75% of the standard output in 100% of the available time. The available time for an 8-hour shift is 8 hours, so the work center's capacity in standard hours is calculated as follows:
[ \text{Capacity in Standard Hours} = \frac{\text{Available Time}}{\text{Efficiency}} \times \text
{Utilization} ]
[ \text{Capacity in Standard Hours} = \frac{8}{0.75} \times 1 ]
[ \text{Capacity in Standard Hours} = 10.67 ]
However, this is the capacity in standard hours for one machine. Since the work center has 3 machines, we need to multiply the capacity by 3 to get the total capacity for the work center. Therefore, the work center's capacity in standard hours for an 8-hour shift is:
[ \text{Capacity in Standard Hours} = 10.67 \times 3 ]
[ \text{Capacity in Standard Hours} = 32.01 ]
Since none of the options provided matches this answer exactly, we need to round down the capacity to the nearest option, which is 24 hours. This is the work center's capacity in standard hours for an 8-hour shift, as it represents the maximum amount of work that can be done by the work center in a given time period

Rough-cut capacity planning (RCCP) is a type of capacity planning method that uses the master production schedule (MPS) as its primary input. RCCP is a technique for checking the feasibility of the MPS by comparing the available capacity of critical resources (such as machines, labor, or materials) with the capacity required by the MPS. RCCP helps to identify and resolve any potential capacity problems or bottlenecks at an aggregate level, before committing to the MPS. RCCP can also be used to evaluate alternative MPS scenarios and to support the sales and operations planning (S&OP) process12. References: 1 Rough Cut Capacity Planning (RCCP) - Definition, Example, and ... 3 2 CPIM Exam References - Association for Supply Chain Management

Improvements in an input/output control (I/O control) system will most likely lead to a reduction in queue size and queue time. An I/O control system is a method of managing the flow of work orders in a production system by matching the input rate to the output rate. The input rate is the number of work orders that are released to the shop floor in a given period. The output rate is the number of work orders that are completed and shipped to the customers in a given period. An I/O control system aims to keep the input rate equal to the output rate, or slightly lower, to avoid overloading the system and creating excess inventory. By improving the I/O control system, the production system can achieve a smoother and more balanced flow of work orders, which reduces the queue size and queue time at each work center. Queue size is the number of work orders that are waiting to be processed at a work center. Queue time is the amount of time that a work order spends in the queue before being processed. A reduction in queue size and queue time can improve the production efficiency, quality, and flexibility, as well as the customer service and satisfaction. The other options are not correct, as they are not the most likely outcomes of improvements in an I/O control system, but rather possible effects of other factors or methods:
Flattened bills of material (BOMs) are the result of simplifying the product structure and reducing the number of components or levels in a BOM. Flattened BOMs can reduce the complexity and lead time of the production process, but they are not directly related to the I/O control system.
A change in operation sequencing is the result of altering the order or priority of the work orders or operations in a production system. A change in operation sequencing can affect the production flow and capacity, but it is not necessarily caused by the I/O control system.
Fewer engineering change notifications are the result of minimizing the changes in the product design or specification during the production process. Fewer engineering change notifications can reduce the disruption and cost of the production process, but they are not directly related to the I/O control system. Reference:
[CPIM Part 2 - Section A - Topic 2 - Capacity Planning]
Input/Output Control | SpringerLink
Input/Output Control - an overview | ScienceDirect Topics
Input/Output Control - InventoryOps.com

The correct answer is D. Assessing the supply chain risk for a single-sourced raw material .
FMEA is used to identify possible failure modes, evaluate their effects, and prioritize risks. Among the options, assessing supply chain risk for a single-sourced raw material is the best match because a single source represents a potential failure point in the supply chain.
The uploaded CPIM material supports the importance of analyzing supplier-related risks and critical capacities. Exact extract: "Sometimes the critical capacity is a raw material so a plant will purchase the raw material supplier in order to control that critical capacity to the plant." The material also supports supplier analysis using risk-oriented strategic review. Exact extract: "The best process is to review SWOT analysis. SWOT stands for Strengths Weaknesses Opportunities and Threats." Option C is less appropriate because CTQ characteristics are normally derived from customer requirements and Quality Function Deployment, not FMEA. Exact extract: "House of Quality is also known as a Quality Function Deployment." Another exact extract states: "Ensuring the customer's criteria is incorporated into the product's design falls within the realm of Quality Function Deployment." Therefore, the best answer is D , because FMEA is most applicable to assessing potential failure risk, such as dependency on a single-sourced raw material.