The kind of power that the project manager should try to use in this type of situation is an: expert power.
A project manager refers to an individual who is saddled with the responsibility of planning, controlling, maintaining, and managing a group of people (team members) that are working under him or her, especially for the execution of a project.
In Project management, a project manager has different kinds of power and these include:
- Formal (legitimate) Power
Expert power is one of the most effective kinds of power and it is typically possessed by a project manager that is a professional (expert) in a particular subject, field or project.
Since the project manager is working in a weak-matrix organizational environment and has no power or budget to reward her team members, she should use her expert power to oversee the complex custom CSM solution project.
In conclusion, the kind of power that the project manager should try to use in this type of situation is an expert power.
Read more on expert power here: brainly.com/question/25622349