AntiFam, a hunger-relief organization, has earmarked between $2 million and $2.5 million (inclusive) for aid to two African countries, Country A and Country B. Country A is to receive between $1 million and $1.5 million (inclusive), and Country B is to receive at least $0.75 million. It has been estimated that each dollar spent in Country A will yield an effective return of $0.80, whereas a dollar spent in Country B will yield an effective return of $0.90. How should the aid be allocated if the money is to be utilized most effectively according to these criteria? Hint: If x and y denote the amount of money (in millions of dollars) to be given to Country A and Country respectively, then the objective function to be maximized is P = 0.8x + 0.9y. (x, y) = What is the optimal return? million
AntiFam, a hunger-relief organization, has earmarked between $2 million and $2.5 million (inclusive) for aid to two African countries, Country A and Country B. Country A is to receive between $1 million and $1.5 million (inclusive), and Country B is to receive at least $0.75 million. It has been estimated that each dollar spent in Country A will yield an effective return of $0.80, whereas a dollar spent in Country B will yield an effective return of $0.90. How should the aid be allocated if the money is to be utilized most effectively according to these criteria? Hint: If x and y denote the amount of money (in millions of dollars) to be given to Country A and Country respectively, then the objective function to be maximized is P = 0.8x + 0.9y. (x, y) = What is the optimal return? million
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![AntiFam, a hunger-relief organization, has earmarked between $2 million and $2.5 million (inclusive) for aid to two African countries, Country A and Country B. Country A is to receive between $1 million and $1.5 million (inclusive), and Country B is to
receive at least $0.75 million. It has been estimated that each dollar spent in Country A will yield an effective return of $0.80, whereas a dollar spent in Country B will yield an effective return of $0.90. How should the aid be allocated if the money is to be
utilized most effectively according to these criteria? Hint: If x and y denote the amount of money (in millions of dollars) to be given to Country A and Country B, respectively, then the objective function to be maximized is P = 0.8x + 0.9y.
(x, y) =
(1
What is the optimal return?
$
million](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79cbc358-f9c7-4513-8a58-8a5e6560b01b%2F3469072d-6a90-475e-9274-845a39ccba44%2Flvf7u6e_processed.png&w=3840&q=75)
Transcribed Image Text:AntiFam, a hunger-relief organization, has earmarked between $2 million and $2.5 million (inclusive) for aid to two African countries, Country A and Country B. Country A is to receive between $1 million and $1.5 million (inclusive), and Country B is to
receive at least $0.75 million. It has been estimated that each dollar spent in Country A will yield an effective return of $0.80, whereas a dollar spent in Country B will yield an effective return of $0.90. How should the aid be allocated if the money is to be
utilized most effectively according to these criteria? Hint: If x and y denote the amount of money (in millions of dollars) to be given to Country A and Country B, respectively, then the objective function to be maximized is P = 0.8x + 0.9y.
(x, y) =
(1
What is the optimal return?
$
million
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