a. The council may not alter the budget as submitted by the mayor pursuant to section two hundred forty-nine except to increase, decrease, add or omit any unit of appropriation for personal service or other than personal service or any appropriation for any capital project or add, omit or change any terms or conditions related to any or all such appropriations; provided, however, that each increase or addition must be stated separately and distinctly from any items of the budget and refer each to a single object or purpose; and, provided, further, that the aggregate amount appropriated for capital projects shall not exceed the maximum amount of appropriations contained in the mayor's certificate issued pursuant to subdivision sixteen of section two hundred fifty.
b. The council shall consider, and act upon, all recommendations made by the borough presidents pursuant to section two hundred fifty-one of this chapter and all recommendations made by the mayor pursuant to paragraph thirteen of section two hundred fifty of this chapter.
c. The budget when adopted by the council shall become effective immediately without further action by the mayor, except that appropriations for the council or appropriations added to the mayor's executive budget by the council or any changes in terms and conditions, shall be subject to the veto of the mayor.
d. If an expense budget has not been adopted by the fifth day of June pursuant to subdivisions a and b of this section, the expense budget and tax rate adopted as modified for the current fiscal year shall be deemed to have been extended for the new fiscal year until such time as a new expense budget has been adopted.
e. If a capital budget and a capital program have not been adopted by the fifth day of June pursuant to subdivisions a and b of this section, the unutilized portion of all prior capital appropriations shall be deemed reappropriated.