Case Study: Coles wants to develop a product management system $($PDMS$)$ that helps employees to manage the items easily. Once Coles receive the items from the manufacturers they need to be arranged in such a way that employees can find them whenever required and manage accordingly. Employees are allowed to enter, update, delete and replace in the database. Items should be put into the corresponding departments with correct id and information. Firstly, the items are inserted in the database. Then, they are updated based on the requirements. Sometimes, they need to be deleted and replaced based on the requirements. Deliverables: You will complete the three main tasks including understanding the problem $($Task $1),$ Modelling $($Task $2),$ and Agile Principles $($Task $3)$ as part of this project. Note: Where you are using articles or books to support your answers, please make sure all references need to be cited in the text and added in the reference list. Task $1.$ Understanding the problem You are a systems analyst that is part of a project that is currently being proposed. Your task is to investigate the item management system of the given case study, and you are required to: $1.$ Define all tasks from the scenarios. $2.$ Calculate all critical path, non$-$critical path, and slack time base on critical path scheduling. Task $2.$ Modelling Tasks $1.$ Create a use case diagram and describe three use case description for proposed the PDMS$.2.$ Prepare a DFD $1$ for the PDMS$.3.$ Draw an ERD diagram for this system. $4.$ Draw a state machine diagram for the PDMS$.$ Task $3.$ System Development Method What kind of development method you should consider. Justify your answer.