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6. Air pollution problem. Consider an airshed in which there is one major contributor to air...

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Advance Math

6. Air pollution problem. Consider an airshed in which there isone major contributor to air pollution--a cement-manufacturingplant whose annual production capacity is 2.500,000 barrels ofcement. Figures are not available to determine whether the planthas been operating at capacity. Although the kilns are equippedwith mechanical collectors for air pollution control, the plantstill emits 2.0 lb of dust per barrel of cement produced. There aretwo types of electrostatic precipitators that can be installed tocontrol dust emission. The four-field type would reduce emissionsby 1.5 lb of dust/barrel and would cost $0.14/barrel to operate.The five-field type would reduce emissions by 1.8 lb of dust/barreland would cost $0.18/barrel to operate. The EPA requires thatparticulate emissions be reduced by at least 84%. How many barrelsof cement should be produced using each new control process tominimize the cost of controls and still meet the EPArequirements1?

Using two-phase method to solve this linear programmingproblem.

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