1. The problem statement, all variables and given/known data Under current legislation, a company involved in a noxious chemical industry has a permit to pass into the atmosphere a maximum of 1500 units of sulfur dioxide, and a maximum of 1200 units of carbon monoxide each day. A new plant just installed releases 150 units of sulfur dioxide, and 80 units of carbon monoxide each hour it operates. The old plant releases 100 units of sulfur dioxide, and 120 units of carbon monoxide each hour it operates. The company must run each plant for at least 2 hours, but less than 8 hours to keep the plants operative.The new plant makes a profit of $1600 p/hour of operation, and the old plant makes a profit of $1000 per/hour of operation. A new environmental policy is proposed which will restrict the maximum amount of sulfur to be released to 1250 units per day, and the amount of carbon monoxide to 1000 units per day. How will this affect the companies profits 3. The attempt at a solution Let x = hours of operation of Plant 1 Let y = hours of operation of Plant 2 With the above, I am not sure whether the x, y, should be units of sulfur and carbon monoxide though, or hours of operation of P1, and P2. This is why I am having so much trouble getting the constraints. The last part, in which the new environmental policy puts restrictions on the units of sulfur dioxide, and carbon monoxide allowed per day will become a new constraint that will have to be tested separately. In essence, once I can determine what x and y are and the constraints, I can then compare the constraints on levels of sulfur and carbon monoxide and how they affect profit. Please help. I really need to get this down-pat ASAP.