A logging company is cutting trees in four different areas of Ashley County. The logs are transported by truck to a site along a railroad where special equipment loads logs on rail cars. The firm has identified five candidate sites, of which at most three can be equipped. Shown below is the product of loads of logs moved per day and the mileage between areas and sites. Determine the allocation of loading equipment to sites and the assignment of logging areas to loading sites to minimize weighted distance traveled.

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Logging Candidate Loading Sites Area 1 2 3 4 5 1 0 300 750 450 1,200 234 120 150 1,500 900 90 1,200 600 150 1,050 480 300 450 180. 30 750