Question: Marc Smith's construction firm currently has three projects under way in various counties in Iowa. Each requires a specific supply of gravel. Three gravel pits

Marc Smith's construction firm currently has three projects under way in various counties in Iowa. Each requires a specific supply of gravel. Three gravel pits are available in Iowa to provide for Smith's needs, but shipping costs differ from location to location. The following table summarizes the problem Smith faces. Determine the optimal shipping assignment so as to minimize totalcosts:

1 JOB 2 JB3 ALLOWANCE |TONNAGE TO FROM Dubuque pit Davenport pit Des Moines pit $10 150 $7 $11 $11 175 $12 275 Job requirements (tons) 200 100 300 600 $8 $4 $5

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