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Mr Jackson has a large room which can be hired for children’s parties. He has a time limit of 4 hours and the room can accommodate a maximum of 25 children. His charges are detailed in the following table:

number of children
6-10 11-15 16-20 21-25
2 hours $100 $150 $200 $250
2 hours and 30 minutes $121 $171 $221 $271
3 hours $142 $192 $242 $292
3 hours and 30 minutes $163 $213 $263 $313
4 hours $184 $234 $284 $334

What is the cost per child for a party lasting two and a half hours for 12 children?