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(Solved): An airline owns an aging fleet of Boeing 737 jet airplanes. It is considering a major purchase of ...



An airline owns an aging fleet of Boeing 737 jet airplanes. It is considering a major
purchase of up to 17 new Boeing model 7

An airline owns an aging fleet of Boeing 737 jet airplanes. It is considering a major purchase of up to 17 new Boeing model 757 and 767 jets. The decision must take into account numerous cost and capability factors, including the following: - The airline can finance up to RM1.6 billion in purchases. - Each Boeing 757 will cost RM80 million, and each Boeing 767 will cost RM110 million. - At least one-third of the planes purchased should be the longer-range Boeing 757. - The annual maintenance budget is to be no more than RM8 million. - The annual maintenance cost per Boeing 757 is estimated to be RM800 000, and it is RM500 000 for each Boeing 767 purchased. - Each Boeing 757 can carry 125000 passengers per year, whereas each Boeing 767 can fly 81000 passengers annually. Formulate this as a Linear Programming problem to maximize the annual passenger-carrying capability.


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Objective Function: Maximize Z = 125000x + 81000y Subject to the following Constraints: Financial Constraint: 80x + 110y ? 1,600,000,000 At least one-
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