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65. Minimizing transportation cost. An airline with two types of planes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 2000 first-class, 1500 economy-plus, and 2400 economy pas- sengers. For a certain trip, plane P1 costs $12,000 to operate and can accommodate 40 first-class, 40 economy- plus, and 120 economy passengers, whereas plane P2 costs $10,000 to operate and can accommodate 80 first- class, 30 economy-plus, and 40 economy passengers. How many of each type of plane should be used to minimize the operating cost?

65. Minimizing transportation cost. An airline with two types of planes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 2000 first-class, 1500 economy-plus, and 2400 economy pas- sengers. For a certain trip, plane P1 costs $12,000 to operate and can accommodate 40 first-class, 40 economy- plus, and 120 economy passengers, whereas plane P2 costs $10,000 to operate and can accommodate 80 first- class, 30 economy-plus, and 40 economy passengers. How many of each type of plane should be used to minimize the operating cost?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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65. Minimizing transportation cost. An airline with two types of planes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 2000 first-class, 1500 economy-plus, and 2400 economy pas- sengers. For a certain trip, plane P1 costs $12,000 to operate and can accommodate 40 first-class, 40 economy- plus, and 120 economy passengers, whereas plane P2 costs $10,000 to operate and can accommodate 80 first- class, 30 economy-plus, and 40 economy passengers. How many of each type of plane should be used to minimize the operating cost?
Transcribed Image Text:65. Minimizing transportation cost. An airline with two types of planes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 2000 first-class, 1500 economy-plus, and 2400 economy pas- sengers. For a certain trip, plane P1 costs $12,000 to operate and can accommodate 40 first-class, 40 economy- plus, and 120 economy passengers, whereas plane P2 costs $10,000 to operate and can accommodate 80 first- class, 30 economy-plus, and 40 economy passengers. How many of each type of plane should be used to minimize the operating cost?
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