A volunteer has been asked to drop off some supplies at a facility housing victims of a hurricane evacuation. The volunteer would like to bring at least 132 bottles of water, 82 first aid kits, and 45 security blankets on his visit. The relief organization has a standing agreement with two companies that provide victim packages. Company A can provide packages of 6 water bottles, 4 first aid kits, and 3 security blankets at a cost of $3. Company B can provide packages of 9 water bottles, 5 first aid kits, and 1 security blanket at a cost of $2. How many of each package should the volunteer pick up to minimize the cost? What amount does the relief organization pay?
A volunteer has been asked to drop off some supplies at a facility housing victims of a hurricane evacuation. The volunteer would like to bring at least 132 bottles of water, 82 first aid kits, and 45 security blankets on his visit. The relief organization has a standing agreement with two companies that provide victim packages. Company A can provide packages of 6 water bottles, 4 first aid kits, and 3 security blankets at a cost of $3. Company B can provide packages of 9 water bottles, 5 first aid kits, and 1 security blanket at a cost of $2. How many of each package should the volunteer pick up to minimize the cost? What amount does the relief organization pay?
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