An airline needs to deliver 360 passengers and 32 tons of cargo from Manhattan to New York. It has two types of planes available: type A, which can carry 60 passengers in addition to 4 tons of cargo, and costs $11,000 for the trip, and type B, which can carry 45 passengers in addition to 5 tons of cargo, and costs $10,000 for the trip. Each plane requires 1,500 litres of fuel for the trip, and the airline has 12,000 litres of fuel available. How many planes of each type should the airline use in order to minimize the cost?

An airline needs to deliver 360 passengers and 32 tons of cargo from Manhattan to New York. It has two types of planes available: type A, which can carry 60 passengers in addition to 4 tons of cargo, and costs $11,000 for the trip, and type B, which can carry 45 passengers in addition to 5 tons of cargo, and costs $10,000 for the trip. Each plane requires 1,500 litres of fuel for the trip, and the airline has 12,000 litres of fuel available. How many planes of each type should the airline use in order to minimize the cost?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 34P

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