Set up the general form of the LP model for the following word problem (no need to solve, just show the set up): A new pollution control law has been passed by the state legislature requiring manu- facturers to reduce pollution by 20%. A local industrialist manufactures copper, which results in the emission of three pollutants into the air: A, B, and C. Under the state law, the industrialist is required to reduce A by at least 50 units, B by at least 100 units, and C by at least 75 units. There are two pollution abatement methods available to the industrialist: (1) to use filters (x) or (2) to use cleansing additive for fuel (y). For each filter that is used, the emission of the three pollutants can be reduced by 1/2, 4/5, and 1 units, respectively, for A, B, and C. For each ton of cleansing additive added to the fuel, the three pollutants can be reduced by 1, 5/2, and 1 units, respectively, for A, B, and C. The cost of one filter is $500, and the cleansing additive costs $750 per ton. Based on this information, the industrialist's objective is to adopt the lowest-cost method of reducing pollution according to the law