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 21 cubic feet in volume and 400 pounds in weight, and earns $28 in revenue. Each heavy crate is 27 cubic feet in volume and 800 pounds in weight, and earns $36 in revenue. The plane has available at most 1785 cubic feet and 40000 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--- F= Subject to (objective function) (volume) (weight) (ratio) x ---Select--- 0, y ---Select--- 0 (nonnegativity constraint)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 21 cubic feet in volume and 400 pounds in weight, and earns $28 in revenue. Each heavy crate is 27 cubic
feet in volume and 800 pounds in weight, and earns $36 in revenue. The plane has available at most 1785 cubic feet and 40000 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.
---Select---
X =
y = ---Select---
---Select--- | F =
Subject to
(objective function)
(volume)
(weight)
(ratio)
X ---Select--- 0, y ---Select--- 0 (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 21 cubic feet in volume and 400 pounds in weight, and earns $28 in revenue. Each heavy crate is 27 cubic feet in volume and 800 pounds in weight, and earns $36 in revenue. The plane has available at most 1785 cubic feet and 40000 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. ---Select--- X = y = ---Select--- ---Select--- | F = Subject to (objective function) (volume) (weight) (ratio) X ---Select--- 0, y ---Select--- 0 (nonnegativity constraint)
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