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.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.