A plane carrying food and water to a resort island can carry a maximum of 30000 pounds and is limited in space to carrying no more than 550 cubic feet. Each container of water weighs 60 pounds and takes up 1 cubic foot of cargo space. Each container of food weighs 175 pounds and takes up 5 cubic feet. Hotels on the island will buy the food for 8 dollars a pound and the water for 5 dollars per pound. What is the optimum number of containers of each item that will maximize the revenue generated by the plane? What is the maximum revenue? Let x represent the number of food containers and y represent the number of water containers.
A plane carrying food and water to a resort island can carry a maximum of 30000 pounds and is limited in space to carrying no more than 550 cubic feet. Each container of water weighs 60 pounds and takes up 1 cubic foot of cargo space. Each container of food weighs 175 pounds and takes up 5 cubic feet. Hotels on the island will buy the food for 8 dollars a pound and the water for 5 dollars per pound. What is the optimum number of containers of each item that will maximize the revenue generated by the plane? What is the maximum revenue? Let x represent the number of food containers and y represent the number of water containers.
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 carrying food and water to a resort island can carry a maximum of 30000 pounds and is limited in space to carrying no more than 550 cubic feet. Each container of water weighs 60 pounds and takes up 1 cubic foot of cargo space. Each container of food weighs 175 pounds and takes up 5 cubic feet. Hotels on the island will buy the food for 8 dollars a pound and the water for 5 dollars per pound. What is the optimum number of containers of each item that will maximize the revenue generated by the plane? What is the maximum revenue? Let x represent the number of food containers and y represent the number of water containers.
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