The chief assigns bids to estimators and sets the bid calendar. On bid day, the chief often makes the last call on markup.
Review is a large part of the role. The chief checks the big quantities, the labor rates, the supplier quotes and the exclusions.
If you report to a chief, make your work easy to review. Show the sheet for each quantity. Show waste and markup on their own lines.
At a small subcontractor, the owner often fills this role and signs every proposal.