# hw-06-nlp - Homework#6#1(this one is quite hard start it...

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Homework #6: #1: (this one is quite hard; start it early!) Fli-Bi-Nite airlines has a flight that starts in LA, flies to Houston, then NYC, then Miami. The length of each segment (in miles) is 1500, 1700, and 1300 respectively. At each stop, the plane may purchase up to 10,000 gallons of fuel. The prices in each city (in cents/gal) are: 88, 15, 105, and 95. The plane's tank can hold at most 12,000 gallons. To allow for the possibility of circling while waiting to land, we require that the ending fuel level for each leg of the flight be 600 gallons. We'll suppose that the airplane gets 0.3 miles per gallon. The plane starts in LA with 4933.3333 gallons before buying fuel and taking off. Formulate and solve an LP that can be used to minimize the fuel cost incurred in completing the schedule. Notes: * I STRONGLY RECOMMEND that you formulate it with pencil and paper first, then turn it into a matrix form before typing it in to Excel. * It's possible to do it with only 4 decision variables, but it

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## This note was uploaded on 09/08/2011 for the course MATH 319 at Eastern Michigan University.

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hw-06-nlp - Homework#6#1(this one is quite hard start it...

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