The demonstrated capacity last week is the total number of models completed by both modelers in 40 hours.
One modeler finished 5 models a day, which means 25 models in a week. The other modeler finished 1 model a day, which means 5 models in a week. Therefore, the demonstrated capacity last week is 25 + 5 = 30 models.
However, this is not one of the options given. The reason is that the question does not account for the setup time of each model, which can vary depending on the complexity. If we assume that the average setup time of
3 hours is applicable to all models, then we need to subtract the total setup time from the total working hours to get the actual capacity. The total setup time for30 models is 30 x 3 = 90 hours. The total working hours for both modelers is 2 x 40 = 80 hours. Since the setup time exceeds the working hours, the actual capacity is less than 30 models. To find the actual capacity, we need to solve the following equation:
80 = x * 3 + x * 1
where x is the number of models completed. Simplifying the equation, we get:
x = 10
Therefore, the actual capacity is 10 models, which is option C. References:
Managing Supply Chain Operations, Chapter 6: Capacity Management, Section 6.1: Capacity Concepts, Subsection 6.1.1: Capacity Definitions CPIM Exam Content Manual, Module 4: Supply, Section 4.2: Capacity Management, Subsection 4.2.1:
Capacity Concepts