Please compute the solution of the following question
Question- Consider an airshed in which there is one major contributor to air pollution-- a cement-manufacturing plant whose annual production capacity is 2,500,000 barrels of cement. Figures are not available to determine whether the plant has been operating at capacity. Although the kilns are equipped with mechanical collectors for air pollution control, the plan still emits 2.0 lbs of dust per barrel of cement produced. There are two types of electrostatic precipitators that can be installed to control dust emission. The four-field type would reduce emissions by 1.5 lb of dust/barrel and would cost $0.14/barrel to operate. The five-field type would reduce emissions by 1.8 ln of dust/barrel and would cost $0.18/barrel to operate. The EPA required that particulate emissions be reduced by at least 84%.
Part 1- How many barrels of cement should be produced using each new control process to minimize the cost of controls and still meet the EPA requirements? Formulate as an LP
I need assistance to calculate the quantity of cement in barrels.