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Formulate a linear programming problem that can be used to solve the follówing questi An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 82 first-class, 50 tourist, and 118 economy-class passengers. The first plane costs $4000 for the trip and can accommodate 48 first-class, 18 tourist, and 22 economy-class passengers; the second plane costs $4900 for the trip and can accommodate 16 first-class, 8 tourist, and 44 economy-class passengers; the third plane costs $6400 for the trip and can accommodate 24 first-class, 36 tourist, and 8 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? ---Select--- ---1pajas---= X ---Select-- ---Select---vF = (objective function) Subject to (first-class passengers) (tourist passengers) (economy-class passengers) x--Select---v0, y --Select-v 0, z-Select-- 0 (nonnegativity constraint)

Formulate a linear programming problem that can be used to solve the follówing questi An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 82 first-class, 50 tourist, and 118 economy-class passengers. The first plane costs $4000 for the trip and can accommodate 48 first-class, 18 tourist, and 22 economy-class passengers; the second plane costs $4900 for the trip and can accommodate 16 first-class, 8 tourist, and 44 economy-class passengers; the third plane costs $6400 for the trip and can accommodate 24 first-class, 36 tourist, and 8 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? ---Select--- ---1pajas---= X ---Select-- ---Select---vF = (objective function) Subject to (first-class passengers) (tourist passengers) (economy-class passengers) x--Select---v0, y --Select-v 0, z-Select-- 0 (nonnegativity constraint)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 32E
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Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with passengers. The first plane costs $4000 for the trip and can accommodate 48 first-class, 18 tourist, and 22 economy-class passengers; the second plane costs $4900 for the trip and can accommodate 16 first-class, 8 tourist, and 44 economy-class passengers; the third plane costs $6400 for the trip and can accommodate 24 first-class, 36 tourist, and 8 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? tour group to provide transportation for a minimum of 82 first-class, 50 tourist, and 118 economy-class ---1pəjəs--- = X y --Select--- z = ---Select--- Select---v F (objective function) Subject to (first-class passengers) (tourist passengers) (economy-class passengers) Select-- 0, y --Select--Y 0, z-Select-- Y0 (nonnegativity constraint)
Transcribed Image Text:Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with passengers. The first plane costs $4000 for the trip and can accommodate 48 first-class, 18 tourist, and 22 economy-class passengers; the second plane costs $4900 for the trip and can accommodate 16 first-class, 8 tourist, and 44 economy-class passengers; the third plane costs $6400 for the trip and can accommodate 24 first-class, 36 tourist, and 8 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? tour group to provide transportation for a minimum of 82 first-class, 50 tourist, and 118 economy-class ---1pəjəs--- = X y --Select--- z = ---Select--- Select---v F (objective function) Subject to (first-class passengers) (tourist passengers) (economy-class passengers) Select-- 0, y --Select--Y 0, z-Select-- Y0 (nonnegativity constraint)
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