A plane delivers two types of cargo between two destinations. Each crate of cargo I is 4 cubic feet in volume and 150 pounds in weight, and earns $15 in revenue. Each crate of cargo II is 4 cubic feet in volume and 300 pounds in weight, and earns $40 in revenue. The plane has available at most 340 cubic feet and 13,800 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.
A plane delivers two types of cargo between two destinations. Each crate of cargo I is 4 cubic feet in volume and 150 pounds in weight, and earns $15 in revenue. Each crate of cargo II is 4 cubic feet in volume and 300 pounds in weight, and earns $40 in revenue. The plane has available at most 340 cubic feet and 13,800 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A plane delivers two types of cargo between two destinations. Each crate of cargo I is 4 cubic feet in volume and 150 pounds in weight, and earns $15 in revenue. Each crate of cargo II is 4 cubic feet in volume and 300 pounds in weight, and earns $40 in revenue. The plane has available at most 340 cubic feet and 13,800 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.
| crates of cargo I | ||
| crates of cargo II | ||
| maximum revenue | $ |
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