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[例1](1995年高考题)某地为促进淡水鱼养殖业的发展,将价格调整在适当范围内,决定对淡水鱼养殖提供政府补贴。设淡水鱼的市场价格为 x 元/kg,政府补贴为 t 元/kg,根据市场调查,当8≤x≤14时,淡水鱼的市场日供应量 Pkg与市场日需求量 Qkg 近似地满足关系:P=1000(x+t-8)=500 (x≥8,t≥0)Q=500~(40-(x-8)~2)~(1/2) (8≤x≤14)当 P=Q 时的市场价格称为市场平衡价格。(Ⅰ)将市场平衡价格表示为政府补贴的函数,并求出函数的定义域;(Ⅱ)为使市场平衡价格不高于每千克10元,政府
[Example 1] (The 1995 college entrance examination question) In order to promote the development of the freshwater fish aquaculture industry, the price was adjusted within a proper range, and it was decided to provide government subsidies for freshwater fish farming. Let the market price of freshwater fish be x yuan/kg, and the government subsidy be t yuan/kg. According to the market survey, when 8 ≤ x ≤ 14, the market daily supply of freshwater fish, Pkg, meets the market demand Qkg approximately to satisfy the relationship. : P=1000(x+t-8)=500 (x≥8, t≥0) Q=500~(40-(x-8)~2)~(1/2) (8≤x≤14) The market price when P = Q is called market equilibrium price. (I) Express the market equilibrium price as a function of government subsidies and find the domain of the function; (II) To make the market equilibrium price not higher than 10 yuan per kilogram, the government