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A Humanitarian Agency Can Use Two Models of Vehicles for a Refugee

Question 36

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A humanitarian agency can use two models of vehicles for a refugee rescue mission.Each model A vehicle costs $1000 and each model B vehicle costs $1500.Mission strategies and objectives indicate the following constraints.A total of at least 20 vehicles must be used.A model A vehicle can hold 45 boxes of supplies.A model B vehicle can hold 24 boxes of supplies.The agency must deliver at least 690 boxes of supplies to the refugee camp.A model A vehicle can hold 17 refugees.A model B vehicle can hold 35 refugees.The agency must rescue at least 520 refugees.What is the optimal number of vehicles of each model that should be used? What is the optimal cost? ​


A) 30 model A vehicles 32 model B vehicles
Optimal cost: $78,000
B) 20 model A vehicles 20 model B vehicles
Optimal cost: $50,000
C) 10 model A vehicles 10 model B vehicles
Optimal cost: $25,000
D) 45 model A vehicles 30 model B vehicles
Optimal cost: $90,000
E) 20 model A vehicles 32 model B vehicles
Optimal cost: $68,000

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