Student Suite Cd-rom For Winston's Operations Research: Applications And Algorithms
4th Edition
ISBN: 9780534423551
Author: Wayne L. Winston
Publisher: Cengage Learning
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Expert Solution & Answer
Chapter 7, Problem 14RP
Explanation of Solution
Assumptions:
- Let LAD and LAH represent the number of “100000” barrels of oil shipped from Los Angeles (L.A.) to Dallas and Houston, respectively.
- Let SDD and SDH represent the number of “100000” barrels of oil shipped from San Diego to Dallas and Houston, respectively.
- Let DNY and DC represent the number of “100000” barrels of oil shipped from Dallas to New York (N.Y.) and Chicago, respectively.
- Let HNY and HC represent the number of “100000” barrels of oil shipped from Houston to N.Y. and Chicago, respectively.
Formulation:
- It is given that in L.A., a maximum of “400000” barrels of oil are able to be produced per day. It is represented by,
LAD+LAH<=4
- It is given that in San Diego, a maximum of “500000” barrels of oil are able to be produced per day. It is represented by,
SDD+SDH<=5
- From the table, the cost of shipping “100000” barrels of oil between the cities L.A. and Dallas is “300”, and the cities San Diego and Dallas is “420”.
- Hence, the total cost of shipping the barrels of oil from L.A. and San Diego to Dallas is as follows,
- From the table, the cost of shipping “100000” barrels of oil between the cities L.A. and Houston is “110”, and the cities San Diego and Houston is “100”.
- Hence, the total cost of shipping the barrels of oil from L.A. and San Diego to Houston is as follows,
- It is given that in Dallas, the cost of refining oil per “100000” barrels, is “$700”. It is represented by,
- It is given that, the cost of refining oil per “100000” barrels, is “$900” in Houston. It is represented by,
- Given that Chicago customer needs refined oil of at least “400000” barrels of oil per day. It is represented by,
DC+HC>=4
- Given that N.Y. customer needs refined oil of at least “300000” barrels of oil per day. It is represented by,
DNY+HNY>=3
- From the table, the cost of shipping “100000” barrels of oil between the cities Dallas and N.Y.is “450”, and the cities Houston and N.Y. is “470”.
- Hence, the total cost of shipping the barrels of oil from Dallas and Houston to N.Y. is as follows,
- From the table, the cost of shipping “100000” barrels of oil between the cities Dallas and Chicago is “550”, and the cities Houston and Chicago is “530”
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Chapter 7 Solutions
Student Suite Cd-rom For Winston's Operations Research: Applications And Algorithms
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