Answer the following questions:

a$.$Creative management, whether in public administration or private industry, depends on methods of inquiry that maintain objectivity, clarity, accuracy and consistency$.$ Discuss this statement and examine the significance of research.

b$.$ Choose one of the following scenarios and apply your understanding of research methodology to develop a concise and clear problem statement and purpose of the study.

Scenario $1$: You are a social media consultant hired by a local restaurant to understand their target audience's online preferences and improve their engagement strategy.

Scenario $2$: You are a product designer tasked with developing a new strategy designed to improve employee performance