Over the past month, the border crossings have been open for just five days. That is why the UN's food warehouses here are empty.
The food which came in on Thursday went straight to distribution centres. There is no slack in the system.
John Ging, head of the UN's Gaza relief operations, met me in one of his empty warehouses.
He reminded me that more than a million people in Gaza depended on UN for their next meal.
"Daily life is a struggle to survive. People were hungry, literally. There was a shortage of everything here, including food, and we actually ran out for a couple of days," he said, looking back over the past month.
He went on: "The fact that it continues to get worse and worse adds to the despair… so we're searching desperately for reasons to have realistic hope."
Mr Ging called on both sides - Israel and the Palestinians - to take action that would build confidence.
Rocket fire from Gaza into Israel had to stop, he said. And Israel had to stop punishing the whole of Gaza for such incidents: "Otherwise you give the agenda to people who are firing rockets."
Tension has risen in Gaza over the past month as the ceasefire with Israel has been progressively breaking down. There seems little optimism, on either side, that the already shaky truce can be sustained when it comes up for renewal in two weeks' time.
Mahmoud Zahar, perhaps the most influential member of the Hamas leadership in Gaza, told me that peace was in Israel's hands.
"It depends on the Israeli side," he said. "If they are going to commit to what we already agreed upon - stoppage of all aggression against the Palestinian people, opening the gates for free communication on a commercial level. The people will discuss this thoroughly."
He added: "We have to defend ourselves against the Israeli aggression by all means, as we are accustomed to do."
The Palestinian armed groups are meeting now to discuss their next move against what they see as continuing Israeli aggression.
Israel, too, is considering whether it will have to take what it would consider pre-emptive action against a gathering threat.
If the ceasefire is not revived, if there is closure once again, Fauzi's family and thousands of others like it can expect much more misery.