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I'm confused. Why would adding up the cost of all the eggs they would produce in their lifetime (including decline as they age?) be accurate? Wouldn't you instead add up the eggs lost until you get another bird to the point they were upon death? Then that hen takes over where the other left off?
I'm with the others that say ask for payment, and go after them if they refuse, and call animal control/sheriff... if that dog had bitten your child, cat, dog, etc they'd do something so why not your other pet? But, I'm a stickler for honesty... my gut wouldn't let me inflate the costs one jot. Cover the cost of a new bird, either a laying hen straight cost, a pullet +feed/etc to laying, or a chick +feed/etc to laying... plus the cost of eggs lost from date of death until your egg production is back to where it was before the attack... but other than that I probably couldn't ask for more.
Also, I'd see if they couldn't help with the fence... for their dog's protection (Trespassers Will Be Shot ring a bell?)... in manhours if not in money.... really the least they can do.
Edit... part of the reason I'd take that path is because I hadn't bothered to put up a fence any more than the neighbor had. I hadn't bothered to keep my animals from roaming any more than they had. So, the blame for animals going back and forth belongs to both... good fences good neighbors... *shrug* Also, if the ... estimate (for lack of a better word) is honest, then I'd be more likely to pay it without a grudge. If I knew it was inflated, "Oh Whiplash!" I'd be less happy about it, might still pay it, might not, but I certainly wouldn't think my neighbors were honest trustworthy folks any more... and since I want to stay where I'm at ... better to have open communication and good relations... Just my two cents, feel free to ignore completely.