Amunicipality 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.