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A town has four elementary schools - Ballyntine, Euclid, Providence, and Selwyn; each with a capacity of 400 students. The school board wants to assign

A town has four elementary schools - Ballyntine, Euclid, Providence, and Selwyn; each with a capacity of 400 students. The school board wants to assign students to schools so that their travel time by bus is as short as possible. The school board has divided the town into four districts - north, south, east, and west. The average bus travel time from each district to each school is shown in the following table:

Travel Time (Min.)
District Ballyntine Euclid Providence Selwyn Student Population
North 12 23 32 17 260
South 26 15 21 27 350
East 18 20 22 30 320
West 28 23 32 18 290

The school board wishes to determine the number of students that should be assigned from each district to each school to minimize the total student travel time.

On the average, what is the optimal travel time per student? Round your answer to the nearest whole number. For example, "1.856 minutes" should be entered as "2".

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