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A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $28 each and 10-perrson round tables at a cost of $52 each. Kathleen would like to rent the hall for a wedding banquet and needs tables for 250 people. The hall can have a maximum of 35 tables, and the hall has only 15 rectangular tables available. How many of each type of table should be rented to minimize cost and what is the minimum cost? Show you work completely.

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