A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is limited in space to carrying no more than 550550 cubic feet. Each container of water weighs 6060 pounds and takes up 11 cubic foot of cargo space. Each container of food weighs 150150 pounds and takes up 55 cubic feet. Hotels on the island will buy the food for 1919 dollars a pound and the water for 55 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 2700027000 pounds and is limited in space to carrying no more than 550550 cubic feet. Each container of water weighs 6060 pounds and takes up 11 cubic foot of cargo space. Each container of food weighs 150150 pounds and takes up 55 cubic feet. Hotels on the island will buy the food for 1919 dollars a pound and the water for 55 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 2700027000 pounds and is limited in space to carrying no more than 550550 cubic feet. Each container of water weighs 6060 pounds and takes up 11 cubic foot of cargo space. Each container of food weighs 150150 pounds and takes up 55 cubic feet. Hotels on the island will buy the food for 1919 dollars a pound and the water for 55 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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