ORIGINAL: irrelevant
You're headed in the right direction, except you need to keep in mind that the merchant shipyard point (MSP) pool and the naval shipyard point pool are two separate things. Your MSWs are built using MSPs.
Sorry, one more thing. One day's worth of acceleration costs two times the ship's durability. So to accelerate Shoho by one day costs 90 (in addition to the 45 already spent for the normal progress). Every day during which you accelerate construction gets you two days nearer completion, but costs you three times the durability in shipyard points.
One more thing about acceleration, continuing with the Shoho example. Shoho will arrive in 48 days using normal construction, so she costs 48*45=2160 points. If you accelerate her from the start she will cost 3 times as many points every day she is being accelerated, but will arrive in half the time. So she'll arrive in 24 days, at a cost of 24*45*3=3240 points. The total cost is only one-and-one-half times as much as the normal cost. You pay three times as much per day on the front end, but then after she arrives, you spend nothing when you would have still been paying the normal cost.
Also, a ship is only available for acceleration under certain circumstances. "A ship that has a delay over 10 * ship durability and less than 30 * ship durability may be accelerated." So your MSWs would be available for acceleration (using MSPs of course) only when they were due to arrive between 10*2=20 days and 30*2=60 days from now. IOW, you can't accelerate just any ship, it has to be one that is 70% or more complete.
One more thing about acceleration, continuing with the Shoho example. Shoho will arrive in 48 days using normal construction, so she costs 48*45=2160 points. If you accelerate her from the start she will cost 3 times as many points every day she is being accelerated, but will arrive in half the time. So she'll arrive in 24 days, at a cost of 24*45*3=3240 points. The total cost is only one-and-one-half times as much as the normal cost. You pay three times as much per day on the front end, but then after she arrives, you spend nothing when you would have still been paying the normal cost.
Ok so from what you said ill start over. im going by 1 day to keep it simple.
ok after all this this is how im looking at shipbuilding. please let me know what you think.
"With no shipyard changes, Japan gets 1174 naval shipyard points per day. On 12/7/41 the following have reached the stage of construction that requires the expenditure of shipyard points in order for them to advance towards completion: 4CV, 2CVL, 2BB, 1DD, 12SS requiring a total expenditure of 1260 points per day. From the start there is a deficit that can be handled in various ways. "
......so 1260 - 1174 = 86 point deficit.
Halting Shinano = 180 points.
Halting Mushashi = 185 points.
180+185 = 365 points
365 - 86 = 279 points left.
Now all of my other ships are building on schedule and will arrive on time and I have 279 points left to speed up another ship or ships.
So I choose to speed up the CVL Shoho at 135 points. 45 normal points/day * 3 = 135 points
That leaves me with 144 points left. So I choose to speed up the Unyo at 40 normal points/day*3=120 points. 144-120= 24 points. Not much else you can do with 24 points.
Thus by halting the Shinano and Mushashi I have put all my remaining ships on schedule and sped up the schedule of the Shoho and the Unyo.
Is this all correct? Please tell me this time I now understand the system! [:D]