Two countries cooperated to airlift food, clothing, and other supplies to a blockaded city. The cargo capacity was 30,000 cubic feet for planes from country A and 20,000 cubic feet for planes from country B. The countries wanted to maximize cargo capacity but were subject to the restrictions below. Find the number of planes from each country that were used to maximize cargo capacity. • No more than 46 planes could be used. • The planes from country A required 16 personnel per flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed 512. • The cost of a flight from country A was $9000 and the cost of a flight from country B was $5000. Total weekly costs could not exceed $302,000. Using planes from country A and planes from country B maximized cargo capacity.
Two countries cooperated to airlift food, clothing, and other supplies to a blockaded city. The cargo capacity was 30,000 cubic feet for planes from country A and 20,000 cubic feet for planes from country B. The countries wanted to maximize cargo capacity but were subject to the restrictions below. Find the number of planes from each country that were used to maximize cargo capacity. • No more than 46 planes could be used. • The planes from country A required 16 personnel per flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed 512. • The cost of a flight from country A was $9000 and the cost of a flight from country B was $5000. Total weekly costs could not exceed $302,000. Using planes from country A and planes from country B maximized cargo capacity.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Two countries cooperated to airlift food, clothing, and other supplies to a blockaded city. The cargo capacity was 30,000 cubic feet for planes from country A and 20,000 cubic feet for planes from country B. The countries wanted to maximize cargo capacity but were subject to the restrictions below. Find the number of planes from each country that were used to maximize cargo capacity.
• No more than 46 planes could be used.
• The planes from country A required 16 personnel per flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed 512.
• The cost of a flight from country A was $9000
and the cost of a flight from country B was $5000. Total weekly costs could not exceed $302,000.Using planes from country A and planes from country B maximized cargo capacity.
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