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Two countries cooperated to airlift​ food, clothing, and other supplies to a blockaded city. The cargo capacity was 36 comma 00036,000 cubic feet for planes from country A and 24 comma 00024,000 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. bullet• No more than 4444 planes could be used. bullet• The planes from country A required 1616 personnel per​ flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed 496496. bullet• The cost of a flight from country A was ​$90009000 and the cost of a flight from country B was ​$50005000. Total weekly costs could not exceed ​$292 comma 000292,000. Using nothing planes from country A and nothing 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 36 comma 00036,000 cubic feet for planes from country A and 24 comma 00024,000 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. bullet• No more than 4444 planes could be used. bullet• The planes from country A required 1616 personnel per​ flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed 496496. bullet• The cost of a flight from country A was ​$90009000 and the cost of a flight from country B was ​$50005000. Total weekly costs could not exceed ​$292 comma 000292,000. Using nothing planes from country A and nothing planes from country B maximized cargo capacity.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
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Two countries cooperated to airlift​ food, clothing, and other supplies to a blockaded city. The cargo capacity was
36 comma 00036,000
cubic feet for planes from country A and
24 comma 00024,000
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.
bullet•
No more than
4444
planes could be used.
bullet•
The planes from country A required
1616
personnel per​ flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed
496496.
bullet•
The cost of a flight from country A was
​$90009000
and the cost of a flight from country B was
​$50005000.
Total weekly costs could not exceed
​$292 comma 000292,000.
Using
nothing
planes from country A and
nothing
planes from country B maximized cargo capacity.
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