A company uses four special tank trucks to deliver four different gasoline products to customers. Each tank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands for the four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by the company’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon for products 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the four trucks that will minimize
A company uses four special tank trucks to deliver four different gasoline products to customers. Each tank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands for the four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by the company’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon for products 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the four trucks that will minimize
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter9: Integer Programming
Section: Chapter Questions
Problem 27RP
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A company uses four special tank trucks to deliver four different gasoline products to customers. Each
tank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands for
the four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by the
company’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon for
products 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the four
trucks that will minimize the additional cost of subcontracting. Formulate this problem as an integer linear
program, and solve it (not by hand).
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