Oh sweet. So level 10 Battleship is +40k HP.
Seeing as how the level 151 Captain's level 1 Battleship was around 50-60k HP, and the amount it gains from level ups and skill ups should be +66k, it looks like it doesn't have any base endurance at all. That's some bad news, since at level 120 you'd only have 4k HP to work with. Explains why most Captains max it first... it just lasts too short.
But... I did some math and found that if all you want is the highest portion of ship-active time, 10 Battleship only better from 120~124. Starting at 125+, 1 Battleship is the best to have because of the low cooldown time.
Level 124:
10 Battleship has 40000+8000 = 48000 HP and 360 second cooldown.
1 Battleship has 4000+8000 = 12000 HP and 90 second cooldown.
Proportional.
Then again, it may be advantageous at times to have a longer active time in exchange for a longer cooldown. Still:
Level 200:
10 Battleship has 40000+160000 = 200000 HP and 360 second cooldown.
1 Battleship has 4000+160000 = 164000 HP and 90 second cooldown.
Well... that or one of us understood incorrectly. I have a feeling so, because the above seems a bit unbalanced. There are only a couple other instances where a lower level of a skill is more beneficial by a substantial amount.
Seeing as how the level 151 Captain's level 1 Battleship was around 50-60k HP, and the amount it gains from level ups and skill ups should be +66k, it looks like it doesn't have any base endurance at all. That's some bad news, since at level 120 you'd only have 4k HP to work with. Explains why most Captains max it first... it just lasts too short.
But... I did some math and found that if all you want is the highest portion of ship-active time, 10 Battleship only better from 120~124. Starting at 125+, 1 Battleship is the best to have because of the low cooldown time.
Level 124:
10 Battleship has 40000+8000 = 48000 HP and 360 second cooldown.
1 Battleship has 4000+8000 = 12000 HP and 90 second cooldown.
Proportional.
Then again, it may be advantageous at times to have a longer active time in exchange for a longer cooldown. Still:
Level 200:
10 Battleship has 40000+160000 = 200000 HP and 360 second cooldown.
1 Battleship has 4000+160000 = 164000 HP and 90 second cooldown.
Well... that or one of us understood incorrectly. I have a feeling so, because the above seems a bit unbalanced. There are only a couple other instances where a lower level of a skill is more beneficial by a substantial amount.