Northeastern Airlines is considering the purchase of new long-, medium-, and short-range jet passenger airplanes. The purchase
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It is predicted that enough trained pilots will be available to the company to crew 30 new airplanes. If only short-range planes were purchased, the maintenance facilities would be able to handle 40 new planes. However, each medium-range plane is equivalent to 11/3 short-range planes, and each long-range plane is equivalent to 12/3 short-range planes in terms of their use of the maintenance facilities. The information given here was obtained by a preliminary analysis of the problem. A more detailed analysis will be conducted subsequently. However, using the preceding data as a first approximation, management wishes to know how many planes of each type should be purchased to maximize profit.
(a) Formulate an IP model for this problem.
(b) Use the computer to solve this problem.
(c) Use a binary representation of the variables to reformulate the IP model in part (a) as a BIP problem.
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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