A cargo ship is loaded with two types of cargo. Each container of cargo A is 400 cubic feet in volume, weighs 10,000 lbs and earns $11,000 in profit. Each container of cargo B is 300 cubic feet in volume, weighs 20,000 lbs, and earns $9,000 in profit. The ship can carry no more than 30,000 cubic feet in volume and no more than 1,000,000 lbs. How many containers of each type should be carried to maximize the profit? Let x be the number of containers of cargo A and y be the number of containers of cargo B. What is the objective function of this linear programming problem? P = 400x + 10,000y P = 300x + 20,000y P = 11,000x + 9,000y OP = 400x + 300y P = 10,000x + 20,000y
A cargo ship is loaded with two types of cargo. Each container of cargo A is 400 cubic feet in volume, weighs 10,000 lbs and earns $11,000 in profit. Each container of cargo B is 300 cubic feet in volume, weighs 20,000 lbs, and earns $9,000 in profit. The ship can carry no more than 30,000 cubic feet in volume and no more than 1,000,000 lbs. How many containers of each type should be carried to maximize the profit? Let x be the number of containers of cargo A and y be the number of containers of cargo B. What is the objective function of this linear programming problem? P = 400x + 10,000y P = 300x + 20,000y P = 11,000x + 9,000y OP = 400x + 300y P = 10,000x + 20,000y
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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Transcribed Image Text:A cargo ship is loaded with two types of cargo. Each container of cargo A is 400 cubic feet in
volume, weighs 10,000 lbs and earns $11,000 in profit. Each container of cargo B is 300 cubic feet
in volume, weighs 20,000 lbs, and earns $9,000 in profit. The ship can carry no more than 30,000
cubic feet in volume and no more than 1,000,000 lbs. How many containers of each type should
be carried to maximize the profit?
Let x be the number of containers of cargo A and y be the number of containers of cargo B.
What is the objective function of this linear programming problem?
P = 400x + 10,000y
P = 300x + 20,000y
P = 11,000x + 9,000y
P =
400x + 300y
P = 10,000x + 20,000y
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