State True or False: The objective of an assignment problem is to assign number of jobs to equal number of persons at maximum cost.

Answer

To determine whether the statement is true or false, we need to analyze the objective of an assignment problem in operations research.

### Solution Steps:

1. **Understanding Assignment Problem**:
- An assignment problem involves assigning a set of tasks (or jobs) to a set of agents (or persons) such that each task is assigned to exactly one agent and each agent is assigned to exactly one task.

2. **Objective of Assignment Problem**:
- The primary objective of an assignment problem is to minimize the total cost of assignments. This means that we want to find the best way to assign jobs to persons such that the overall cost incurred is as low as possible.

3. **Analyzing the Statement**:
- The statement claims that the objective is to assign jobs to persons at maximum cost. This contradicts the fundamental principle of assignment problems, which is to minimize costs, not maximize them.

4. **Conclusion**:
- Since the statement incorrectly describes the objective of an assignment problem, we conclude that the statement is **False**.

### Final Answer:
**False**