Ah yes ... we learnt all about that in Grade 2, but I forget it. Can you remind me please?
The available space of potentially evolutionary successful mutations. In artificial selection, it's massively limited compared to that of natural selection. And, potentially useful mutations may be eliminated because they carry with them traits that the artificial selector doesn't want.
No dog breeder can produce a pink dog
I disagree.
'Pink' dogs - those with a rare type of albanism - already exist (they're white with a pinkish tinge). It would not be that difficult to use cross breeding to amplify this and produce a pink dog.
Looking up the story of the black tulip would be illuminating here. It was considered impossible to produce a true, solid black tulip. It took around 350 years, but Dutch tulip breeders eventually produced a true black tulip (by crossing two types of purple tulip, themselves artificially selected).
or one as big as a horse.
Given that modern horses descended from a creature around the size of a labrador, I disagree. Also, given that modern small horse breeds and modern large dog breeds are roughly similar in size, I emphasise my disagreement.
No chook breeder can produce a chook as big as a turkey.
Modern domesticated chicken and turkey breeds are
multiple times larger and heavier than their wild ancestors. A wild turkey usually maxes out at about 20-25 pounds in a male. A domesticated turkey maxes out at about 85-90 pounds. That's an increase of about 300% to 400%.
If you're going to breed for gigantism and nothing else, it may actually be possible to produce a chicken that's bigger than a turkey. Bear in mind that the ancestor of the chicken weighs a bare three to four pounds, and modern commercial hens weigh about eight to ten pounds.
How Did Modern Chickens Get So Damn Big?
Per the article above, the average weight of a US commercial hen has increased from 905 grams in 1957 to 4202 grams in 2005. That's an increase of 365% in under 50 years.
Perhaps you should look up the history of the domestication and cultivation of
brassica, and the
particularly gnarly genetic path their hybridisation and domestication took.