Suppose Texas, California, and Alaska each produce a million barrels of oil. 800,000 barrels are needed in Chicago at a distance of 1000, 2000, and 3000 miles from the three producers; and 2,200,000 barrels are needed in New England 1500, 3000, and 3700 miles away. If shipments cost one unit for each barrel-mile, what linear program with five equality constraints has to be solved to minimize the shipping cost?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Suppose Texas, California, and Alaska each produce a million barrels of oil. 800,000 barrels are
needed in Chicago at a distance of 1000, 2000, and 3000 miles from the three producers; and
2,200,000 barrels are needed in New England 1500, 3000, and 3700 miles away. If shipments
cost one unit for each barrel-mile, what linear program with five equality constraints has to be
solved to minimize the shipping cost?
Transcribed Image Text:1. Suppose Texas, California, and Alaska each produce a million barrels of oil. 800,000 barrels are needed in Chicago at a distance of 1000, 2000, and 3000 miles from the three producers; and 2,200,000 barrels are needed in New England 1500, 3000, and 3700 miles away. If shipments cost one unit for each barrel-mile, what linear program with five equality constraints has to be solved to minimize the shipping cost?
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