Answer:
For example, where a Manager wants to properly share certain resources among departments, he makes sure he gets a department that will yield profit. This clearly shows the use of the mathematical methodology.
For example, where dispute arise in an Organization, the Manager is expected to apply this approach to understand how the complexity in the workings of the Organization.
A Manager needs to have good understanding of both approaches because Managers are in a position of leadership for the smooth running of the Organization. They should be able to take on well educated choices that contribute toward the achievement of their organizations.