Problem $3(30$ points$)$

HealthTech Innovations has developed a new health monitoring device called $$VitaBand$.$ The research and development department believes that this innovative device will expand the company's footprint in the personal healthcare device market and significantly enhance its profitability by promoting proactive health management.

The executive team has decided to conduct a comprehensive research study to explore the potential success of VitaBand. This study will provide crucial insights into the production processes and marketing strategies needed for successful launch and adoption. Below is a list of the required activities $($in weeks$)$ for the research study and their durations.