There are estimates of capabilities given there, and they can be overly optimistic. 9 bombs on June 30, 1946 is a reality.
Firstly Gen Groves was not a man to promise more than he believed could be delivered. Having been in charge of the Manhattan Project since late 1942 he knew better than most what was involved.
Secondly, I don't think you appreciate just what production facilities were becoming available in 1945 and the effect that would have on the number of plutonium bombs becoming available for use in late 1945. Events after that, that Groves could not have predicted when he wrote his Memo on 1 July 1945 then affected the 1946 position. This was after all cutting edge science.
Plutonium Production
The Hanford B Reactor, whose purpose was to generate Plutonium from Uranium metal, began to be loaded with Uranium "slugs" in Sept 1944 and went critical that same month. As the first such reactor it took time to get up to full operational speed with charging not complete until Dec, and didn't achieve full power until Feb 1945 (5 months). It was Plutonium from this reactor which, after processsing (see below) was first sent to Los Alamos in Feb 1945 and was used in both the Trinity Test and the Nagasaki Fat Man bomb.
Hanford D Reactor took 2 months (Dec 1944-Feb1945) to achieve the same.
Hanford F Reactor took 3 weeks (Feb-Mar 1945) to achieve the same.
So by mid-late March all 3 reactors were churning out Plutonium, in addition to the less powerful X-10 reactor at Oak Ridge Tennessee, that had delivered the first few microgrammes of Plutonium back in early 1943.
Processing the reactor output to produce Plutonium for the A-bombs
The first processing plant at Hanford, 221-T, started processing the output from B Reactor in Dec 1944 and was able to sent the first batch to Los Alamos in Feb 1945. By April shipments were in kilogram quantities. These were 98+% pure Plutonium. (Fat Man used 6.2kg of Plutonium). A second processing plant became operational in Spring 1945, and a third was built but not needed before the end of the war, so became a training facility.
Polonium 210
Another essential component of both Little Boy and Fat Man was Polonium 120, which also came out of Hanford. Needed as an initiator for the chain reaction. Problem is that while Plutonium has a very long half life (
24,100 years), that of Polonium is only
138 days and it decays into a stable element
. And the decay begins as soon as it is produced. So very quickly your A-bomb will simply "fizzle", if it goes off at all, rather than produce a nice big nuclear explosion.
So, if I understand the physics correctly, there is no point in producing a lot of Fat Man bombs after the war ended if you do not intend to use them in the next few months. So that generation of atomic weapons cannot be kept on the shelf for a significant period of time like an HE bomb. Everything relies on producing enough Polonium 210 on an ongoing basis to rebuild the bombs you have every few months.
Postwar rundown
Several things happened after the end of WW2 to slow down production.
Because the 3 reactors at Hanford had been run so hard in 1945 the scientists, who of course had very limited experience of operating these reactors, became worried in early 1946 that the reactors were showing signs of wear (Wigner Effect) and might therefore become inoperable in the not too distant future if high level production continued. And as Polonium 210 was needed on an ongoing basis just to maintain the limited nuclear stockpile let alone expand it, it was decided in March 1946 to place B Reactor at Hanford on standby, and to significantly curtail power on the other two in an effort to conserve their useful lives.
DuPont who had the contract to run Hanford decided to pull out and GE were appointed in their place, taking over the running of the plant at the end of Sept 1946.
Following the end of the war, morale at Los Alamos fell dramatically and there was apparently a lack of direction from the top. Many of the scientists involved in implosion weapon left the Army for civilian life, so adding to the difficulties of maintaining & expanding the stockpile. As a result the Army apparently turned more towards the Uranium Little Boy weapons that relied on Uranium coming out of the Oak Ridge Tennessee facilities. BUt that still relied on Polonium from Hanford.
Finally at the end of 1946 the whole Manhattan Project was wound up and responsibility for everything nuclear passed to the civilian controlled Atomic Energy Commission.