A rooster is not needed for hens to lay eggs.
They are needed if you want more chickens from those eggs though.... but then you need 21 days to incubate them and another eight weeks or so for those to grow big enough to bother eating, plus the food to grow them... hmmmm... just eat the rooster, get a few eggs out of the hens, and eat the hens when needed. Use the guts to bait some other critters to eat as well.
Or, just make a spear and go take some food from the film crew.
