Wyoming Electric Coop owns a steam-turbine power-generating plant. Because

Wyoming is rich in coal deposits, the plant generates its steam from coal. However, it may result in emissions that does not meet the Environmental Protection Agency standards. EPA regulations limit sulfur dioxide discharge to 2000 parts per million per ton of coal burned and smoke discharge from the plant stacks to 20 lb per hour. The Coop receives two grades of pulverized coal, C1 and C2, for use in the steam plant. The two grades are usually mixed together before burning. For simplicity, it can be assumed that the amount of sulfur pollutant discharged (in parts per million) is a weighted average of the proportion of each grade used in the mixture. The following data are based on consumption of 1 ton per hour of each of the two coal grades.

Sulfur discharge Smoke discharge Steam generated

Coal grade in parts per million in Ib per hour in lb per hour

Coal Grade C1:

Sulfur discharge in parts per million = 1800

Smoke discharges in lb pr hour = 2.1

Steam generation in lb per hour = 12,000

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Coal Grade C2:

Sulfur discharge in parts per million = 2100

Smoke discharges in lb pr hour = 0.9

Steam generation in lb per hour = 9,000

Determine the effect of relaxing the smoke discharge limit by 1 lb on the amount of generated steam per hour.