The space tourism company Blue Origin has been rather successful at launching people into orbit, but...

  

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The space tourism company Blue Origin has been rather successful at launching people into orbit, but the public has raised concerns about the return journey. In order to prevent any future disasters from taking place, the company intends to stockpile large carbon fiber nets in strategic locations surrounding the launching point. However, shipping these nets is expensive and depending on the location more nets are required to cover potential crash-landing zones. The two factories producing the nets have a production capacity of 79 and 124 nets respectively. Each of Texas' neighboring states has requested a stockpile. New Mexico has requested 40, Oklahoma has requested 19, Arkansas has requested 13, and Louisiana has requested 23. A) Based on the shipping costs in the table below, draw the network representation and write-up the mathematical formulation of a linear program that could provide a solution that would minimize the total shipping cost incurred by the company when distributing these nets. [Answer on page 2 and 3] S1 - Factory 1 S2 - Factory 2 D1 - New Mexico D2 - Oklahoma D3 - Arkansas D4 Louisiana 5 1 7 5 4 9 2 4 B) Formulate an additional constraint specifying that a minimum of 5 nets should be shipped from factory 1 to Arkansas. C) Formulate an additional constraint specifying that New Mexico should receive at least five as many nets as Arkansas receives. | The space tourism company Blue Origin has been rather successful at launching people into orbit, but the public has raised concerns about the return journey. In order to prevent any future disasters from taking place, the company intends to stockpile large carbon fiber nets in strategic locations surrounding the launching point. However, shipping these nets is expensive and depending on the location more nets are required to cover potential crash-landing zones. The two factories producing the nets have a production capacity of 79 and 124 nets respectively. Each of Texas' neighboring states has requested a stockpile. New Mexico has requested 40, Oklahoma has requested 19, Arkansas has requested 13, and Louisiana has requested 23. A) Based on the shipping costs in the table below, draw the network representation and write-up the mathematical formulation of a linear program that could provide a solution that would minimize the total shipping cost incurred by the company when distributing these nets. [Answer on page 2 and 3] S1 - Factory 1 S2 - Factory 2 D1 - New Mexico D2 - Oklahoma D3 - Arkansas D4 Louisiana 5 1 7 5 4 9 2 4 B) Formulate an additional constraint specifying that a minimum of 5 nets should be shipped from factory 1 to Arkansas. C) Formulate an additional constraint specifying that New Mexico should receive at least five as many nets as Arkansas receives. |