1. Can the President table an action item on her own grounds? Does tabling of an item require a motion, second, and vote? In particular, the proposed budget was presented, a discussion over projected revenue went around the table. The president then said that the budget would be tabled until after determining the revenue from a funding source. No motion was called.
2. A representative of a funding source presented a lease agreement, many questions were brought up by members. The president cut the speaker off at 45 minutes, told him we'd table the matter for six months until the members had more time to work figures. Again, no motion was called.

A: The president can assume motions in certain cases, but their disposition is not assumed, and must be decided by the assembly either by unanimous consent or by vote.

For example, your president may believe it is the general will of the assembly to postpone discussion of the budget until more information is gathered, assume such a motion, then say, "If there's no objection, we will postpone further discussion of the budget until the next meeting," pause to allow anyone to object, then continue, "Since there's no objection, this issue is postponed until the next meeting." The assembly, by not objecting, has tacitly agreed to the postponement.

If the decision is taken from the assembly by the president unilaterally postponing the issue, any member may raise a Point of Order.

One additional comment about your situation involves "tabling." The motion "to table" is ambiguous and not recommended. To some, "to table" means to kill a motion (Postpone Indefinitely). To others, it means to postpone a motion (as it seems to be in your case) (Postpone Definitely). And yet to others, it means to temporarily set aside an issue so that an urgent issue may be handled (Lay on the Table). For this reason, one of the motions parenthetically indicated above should be used instead.

Besides serving different purposes, these motions have different characteristics (e.g., Lay on the Table is not debatable, while the others are).

One of the characteristics of Postpone Definitely is that an issue may not be postponed beyond the next meeting or quarter-year, whichever comes first. So, postponing the matter for six months would not be in order.

Rather than postponing for a long period, it is often valuable to Refer the motion to a committee for its consideration over that period.