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AntiFam, a Hunger-Relief Organization, Has Earmarked Between $4 and $4

question 122

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AntiFam, a hunger-relief organization, has earmarked between $4 and $4.5 million, inclusive, for aid to two African countries, country A and country B. Country A is to receive between $3 and $3.5 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 $0.60, whereas a dollar spent in country B will yield an effective return of $0.70. How should the aid be allocated if the money is to be utilized most effectively according to these criteria? Hint: If AntiFam, a hunger-relief organization, has earmarked between $4 and $4.5 million, inclusive, for aid to two African countries, country A and country B. Country A is to receive between $3 and $3.5 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 $0.60, whereas a dollar spent in country B will yield an effective return of $0.70. How should the aid be allocated if the money is to be utilized most effectively according to these criteria? Hint: If   and   denote the amount of money (in million of dollars)  to be given to country A and country B, respectively, then the objective function to be maximized is   . A)  Maximize   subject to   B)  Maximize   subject to   C)  Minimize   subject to   D)  Minimize   subject to   E)  Minimize   subject to  and AntiFam, a hunger-relief organization, has earmarked between $4 and $4.5 million, inclusive, for aid to two African countries, country A and country B. Country A is to receive between $3 and $3.5 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 $0.60, whereas a dollar spent in country B will yield an effective return of $0.70. How should the aid be allocated if the money is to be utilized most effectively according to these criteria? Hint: If   and   denote the amount of money (in million of dollars)  to be given to country A and country B, respectively, then the objective function to be maximized is   . A)  Maximize   subject to   B)  Maximize   subject to   C)  Minimize   subject to   D)  Minimize   subject to   E)  Minimize   subject to  denote the amount of money (in million of dollars) to be given to country A and country B, respectively, then the objective function to be maximized is AntiFam, a hunger-relief organization, has earmarked between $4 and $4.5 million, inclusive, for aid to two African countries, country A and country B. Country A is to receive between $3 and $3.5 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 $0.60, whereas a dollar spent in country B will yield an effective return of $0.70. How should the aid be allocated if the money is to be utilized most effectively according to these criteria? Hint: If   and   denote the amount of money (in million of dollars)  to be given to country A and country B, respectively, then the objective function to be maximized is   . A)  Maximize   subject to   B)  Maximize   subject to   C)  Minimize   subject to   D)  Minimize   subject to   E)  Minimize   subject to  .


Definitions:

Folding

The bending of rock layers due to stress in the Earth's crust, often resulting in wave-like structures known as anticlines and synclines.

Banded Rock

Rock that displays layers or bands of different colors or textures, often resulting from varying mineral compositions or sediment deposition.

Coarse Crystals

Large, visible crystals often found in igneous rocks, indicating slow cooling of magma.

Foliation

Foliation is the repetitive layering in metamorphic rocks, caused by the reorientation of minerals under high pressure and temperature conditions.

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