Alexander Jones was an experienced project manager of a small machine shop. He had always had complete authority when working with the clients on specifications of the projects as well as when working with the project team on the schedule. His boss, however, did not feel comfortable letting Alex determine project budgets. The boss always did that himself.

A client approached Alex about designing a piece of surgical equipment. Alex was excited about this project because his usual job was to design and make parts of factory equipment. He was delighted to have a chance to do something that might directly affect humankind. Alex knew what the surgical tool was intended to do and had figured out what had to be done to design and manufacture it$.$ He had even estimated the labor $-$ hour requirement. He wanted to do all the planning discussions with the client, including discussions on the budget.

Questions: What do you think Alex should show to his boss so that the boss would feel more comfortable letting Alex determine and monitor the project$$ s budget? What should Alex say to persuade the boss?

Please calculate and find answer detailly step by step because I want to understand how calculate this type of exercises. And please don$$t put answers of other experts which answered this question before I asked you.