Buy an ostrich, upgrade storehouse, plane and truck to max, buy 5 hats and cloth. Process to get the costume, sell it then buy a second ostrich.
The cash from the costumes will let you buy a cat quickly, then a pig and cow. You only need to keep the pig and cow long enough to plop out one ham and one milk--then sell them.
Buy 10 hats/cloth to have on hand, buy a third and fourth ostrich as you can. Even with the ostriches, you can still also buy the meat plants and work through the ham as you continue working the feathers through the system. At any rate, by the time the polar bears drop, you should have 4 ostriches working.
You'll also find you have a boatload of cash so process the milk into cheese and upgrade all of the feather plants as you go.
You should be able to finish near the 4 minute mark without a problem.