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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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
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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