The optimum amount of trash to burn in each incinerator

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A municipality has two incinerators for burning trash. Incinerator A costs $3 .80 per ton of trash to operate, and has a capacity of 28 tons per day . Incinerator B costs $4 .25 per ton to operate, and has a capacity of 30 tons per day . The municipality produces over 100 tons of trash per day, and all trash not burned in the incinerators must be buried in a land fill at a cost of $5 .00 per ton. The city manager wants to minimize costs by burning as much trash as possible . However, the city must conform to environmental regulations limiting production of pollutants from burning in the incinerators to 180 pounds of hydrocarbons and 640 pounds of particulates a day. Incinerator A produces 3 pounds of hydrocarbons and 20 pounds of particulates for every ton of trash burned, and incinerator B produces 5 pounds of hydrocarbons and 10 pounds of particulates for every ton of trash. Determine the optimum amount of trash to burn in each incinerator.

Reference no: EM132163119

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