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A Hunger-Relief Organization Has Earmarked Between $2 and $2

question 201

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A hunger-relief organization has earmarked between $2 and $2.5 million, inclusive, for aid to two African countries, country A and country B. Country A is to receive between $1 and $1.5 million, inclusive, in aid, and country B is to receive at least $0.75 million in aid. It has been estimated that each dollar spent in country A will yield an effective return of $.75, whereas a dollar spent in country B will yield an effective return of $.85. 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 to be given to country A and country B, respectively, then the objective function to be maximized is P = 0.75x + 0.85y.)


Definitions:

Goals

Desired end-results or targets that an individual or organization aims to achieve within a specific timeframe.

Goal Difficulty

The extent to which a goal is challenging and requires effort to achieve, which can impact motivation and performance.

Goal Commitment

The degree of determination and persistence individuals have towards achieving specific objectives.

Relationship

The way in which two or more concepts, objects, or people are connected, or the state of being connected.

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