an ever increasing number of graduates qualified in subjects for which there is little or no demand in the working world------这一部分总体看,是个名词词组,与a band of specialists ignorant of anything outside of their own subject是并列成分,都做 we are not to have的宾语.
具体分析：which关系代词修饰subjects,介词for提前,实际上是：there is little or no demand for these subjects in the working world.此外,qualified in subjects 作定语修饰graduates.
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