A city, county, city and county, or district may apply to
the State Librarian for a grant pursuant to this chapter, as follows:
   (a) Each application shall be for a project for a purpose
authorized by Section 19957.
   (b) The applicant shall request not less than thirty-five thousand
dollars ($35,000) per project.
   (c) No application shall be submitted for a project for which
construction bids already have been advertised.