Friendly Waste Co. runs three different factories and is required by law to safely dispose of chemicals. Waste from three different factories can be processed to reduce the amount of two different types of pollutants. State law requires that the total reduction in the amount of pollutant A is at least 30 tons and pollutant B is at least 40 tons. Using the information in the following table: Algebraically formulate a linear programming model to represent this problem. Use Excel to determine how this can be done at minimum cost. Reduction in Reduction in Processing cost pollutant A per ton of processed waste pollutant B per ton of processed waste Factory per ton of waste 1 $15 0.10 tons 0.45 tons $10 0.20 tons 0.25 tons $20 0.40 tons 0.30 tons