Transeast Airlines flies planes on the following route:L.A.–Houston–N.Y.–Miami–L.A. The length (in miles) ofeach segment of this trip is as follows: L.A.–Houston, 1,500miles; Houston–N.Y., 1,700 miles; N.Y.–Miami, 1,300miles; Miami–L.A., 2,700 miles. At each stop, the planemay purchase up to 10,000 gallons of fuel. The price of fuelat each city is as follows: L.A., 88¢; Houston, 15¢; N.Y.,$1.05; Miami, 95¢. The plane’s fuel tank can hold at most12,000 gallons. To allow for the possibility of circling overa landing site, we require that the ending fuel level for eachleg of the flight be at least 600 gallons. The number ofgallons used per mile on each leg of the flight is1  (average fuel level on leg of flight/2,000)Review Problems 123To simplify matters, assume that the average fuel level onany leg of the flight isFormulate an LP that can be used to minimize the fuel costincurred in completing the schedule

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Transeast Airlines flies planes on the following route:
L.A.–Houston–N.Y.–Miami–L.A. The length (in miles) of
each segment of this trip is as follows: L.A.–Houston, 1,500
miles; Houston–N.Y., 1,700 miles; N.Y.–Miami, 1,300
miles; Miami–L.A., 2,700 miles. At each stop, the plane
may purchase up to 10,000 gallons of fuel. The price of fuel
at each city is as follows: L.A., 88¢; Houston, 15¢; N.Y.,
$1.05; Miami, 95¢. The plane’s fuel tank can hold at most
12,000 gallons. To allow for the possibility of circling over
a landing site, we require that the ending fuel level for each
leg of the flight be at least 600 gallons. The number of
gallons used per mile on each leg of the flight is
1  (average fuel level on leg of flight/2,000)
Review Problems 123
To simplify matters, assume that the average fuel level on
any leg of the flight is
Formulate an LP that can be used to minimize the fuel cost
incurred in completing the schedule

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