To get the impossible badge you're total time doesn't have to come from aces. To get the badge, first get all aces, then spend time getting each level in under 4 seconds with however many shots you need. Change your shots so that they will terminate quickly in order to get 2, 3, or 4 shots off as quickly as possible to complete the level.
Finally beat on harder... Easiest way to accomplish this is to simply refresh the screen immediately if you see your happiness meter decrease after a day goes by before the game has a chance to save itself. Then just concentrate on getting enough soldiers and farms to kill anything. I would suggest clearing the whole board to beat the game. When you try to draft a constitution or close the portal or cure zombieism, the hordes get ridiculously strong. If you have the whole board with exception to 2-3 squares, you can draft a constitution without worries of ever getting overrun. Here is a testament to how ridiculous it can get. With 98 of 100 squares under my control, 45 soldiers all manned as defense, and 5 leaders drafting a constitution, on the 9th day before my constitution was finished, I had 15 soldiers, and 75 squares.
To beat the game, you need to ship 2820 crates of tea. To score 80 mil, this means you need to move at least, 2837 crates of opium. In order to easily achieve this, it will benefit you to sweat out the Brits when you can afford to early on (don't have enough tea until mood is ~%15). This allows you to buy and sell more opium and build up your silver reserve. Doing this can yield up to 40000 in silver easily saved up with around 500 crates of opium on reserve. Then towards the later years, you can buy and sell opium at whatever price just to try and meet the amount of crates required to hit the 80 mil score. Using this method got me a top score of 120,054,000. Rate up if this works for you.
Easiest way to beat level 5 Hard:
First: Setup a back row of the #1 gunners as close as possible to the ship. (Spend all first round money doing this)
Second: Add row of alternating #2 & #3 gunners just in front of the back row. (Make about 4 of each for a row of 8)
Third: Add row of #4 gunners w/ a few #5s between them to protect the flame throwers.
Fourth: Add #6 gunners anywhere they fit in the three rows. Keep doing this until the last wave comes. Just before the last wave make sure you have at least 600 to spend. When the last wave comes, just keep bouncing the baddies back w/ #1 while activating #4 whenever it is charged. As long as you keep using repulsion, nothing will ever touch your front line. Repulsion should be used throughout this level when needed. Following this strategy will easily get you 3 gold stars on Level 5.
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