Is this question right? (20 1 1 Maoming, Guangdong, 23, 8 points) A chicken farm plans to buy 2,000 chickens of two kinds for breeding. It is known that each 2 yuan is the first type chicken and each 3 yuan is the second type chicken.

(1) If it cost 4 500 yuan to buy these chickens, how many chickens did you buy? (2 points)

(2) How many chickens should I buy if the money for buying these chickens does not exceed 4 700 yuan? (3 points)

(3) Relevant data show that the survival rates of two kinds of chicks are 94% and 99% respectively. If the survival rate of these chickens is not less than 96% and the total cost of buying chickens is the lowest, how many chickens should I buy? What is the lowest total cost? (3 points)