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Formulate a linear programming problem that can be used to solve the following question. A plane delivers cargo in two types of crates between two destinations. The light crate is 17 cubic feet in volume and 1300 pounds in weight, and earns $11 in revenue. Each heavy crate is 15 cubic feet in volume and 400 pounds in weight, and earns $29 in revenue. The plane has available at most 1343 cubic feet and 90000 pounds for the crates. Finally, at least twice the number of light crates as the heavy ones must be shipped. Find the number of crates of each type of cargo to ship in order to maximize revenue. X = |---Select--- y = ---Select--- ---Select--- vF = (objective function) Subject to (volume) (weight) (ratio) x ---Select--- v 0, y ---Select--- v0 (nonnegativity constraint)

Formulate a linear programming problem that can be used to solve the following question. A plane delivers cargo in two types of crates between two destinations. The light crate is 17 cubic feet in volume and 1300 pounds in weight, and earns $11 in revenue. Each heavy crate is 15 cubic feet in volume and 400 pounds in weight, and earns $29 in revenue. The plane has available at most 1343 cubic feet and 90000 pounds for the crates. Finally, at least twice the number of light crates as the heavy ones must be shipped. Find the number of crates of each type of cargo to ship in order to maximize revenue. X = |---Select--- y = ---Select--- ---Select--- vF = (objective function) Subject to (volume) (weight) (ratio) x ---Select--- v 0, y ---Select--- v0 (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 33E
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Formulate a linear programming problem that can be used to solve the following question. A plane delivers cargo in two types of crates between two destinations. The light crate is 17 cubic feet in volume and 1300 pounds in weight, and earns $11 in revenue. Each heavy crate is 15 cubic feet in volume and 400 pounds in weight, and earns $29 in revenue. The plane has available at most 1343 cubic feet and 90000 pounds for the crates. Finally, at least twice the number of light crates as the heavy ones must be shipped. Find the number of crates of each type of cargo to ship in order to maximize revenue. X = |---Select--- y = ---Select--- ---Select--- vF = (objective function) Subject to (volume) (weight) (ratio) x ---Select--- v 0, y ---Select--- v0 (nonnegativity constraint)
Transcribed Image Text:Formulate a linear programming problem that can be used to solve the following question. A plane delivers cargo in two types of crates between two destinations. The light crate is 17 cubic feet in volume and 1300 pounds in weight, and earns $11 in revenue. Each heavy crate is 15 cubic feet in volume and 400 pounds in weight, and earns $29 in revenue. The plane has available at most 1343 cubic feet and 90000 pounds for the crates. Finally, at least twice the number of light crates as the heavy ones must be shipped. Find the number of crates of each type of cargo to ship in order to maximize revenue. X = |---Select--- y = ---Select--- ---Select--- vF = (objective function) Subject to (volume) (weight) (ratio) x ---Select--- v 0, y ---Select--- v0 (nonnegativity constraint)
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