George Walls, president of the Bradley School, is concerned about declining enrollment. Bradley School is a technical college that specializes in training computer programmers and operators. Over the years, there has been competition between the Bradley School, International Technology, and the Career Academy. The three schools compete in providing education in the areas of programming, computer operations, and basic secretarial skills.

To better understand which of these schools is emerging as the leader, George decided to conduct a survey. His survey looked at the number of students who transferred from one school to another during their academic careers. On average, Bradley School was able to retain 65% of the students he originally enrolled. Twenty percent of originally enrolled students transferred to Career Academy and 15% transferred to International Technology. Career Academy had the highest retention rate: 90% of its students stayed with Career Academy for their entire academic program. George estimated that about half of the students who left Career Academy went to Bradley School and the other half to International Technology. International Technology was able to retain 80% of its students after they enrolled. Ten percent of originally enrolled students transferred to Career Academy and the other 10% enrolled at Bradley School.

Bradley School currently has 40% of the market. Career Academy, a much newer school, has 35% of the market. The remaining market share, 25%, consists of students attending International Technology. George would like to determine Bradley's market share for the coming year. What are the equilibrium market shares for Bardley School, International Technology, and Career Academy?

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