Final answer:
In a cost center, a manager is responsible for investments, revenues, and costs, and in this case, the center should continue in business as it is generating a profit.
Step-by-step explanation:
In a cost center, a manager is responsible for investments, revenues, and costs. This statement is true.
Cost centers are a specific type of organizational unit in a business that are responsible for controlling and tracking costs. The manager of a cost center has the authority and responsibility to make investment decisions, monitor revenues, and manage costs within the center.
In this particular case, the center earns revenues of $20,000 and variable costs are $15,000. Since the revenues exceed the variable costs, the center should continue in business as it is generating a profit.