I think you should keep it simple. Production possibilty curves more refer to the opportunity costs of two goods.
Environmental damage is an example of negative externalities. Think the simple supply and demand curves, and look at supply as the costs and demand as the benfits. Now when there is environmental damage from the production of a good, it is affects a 3rd party, not just the buyer and seller, for example pollution is the air. Now because of this flow effect the true costs are actully higher than they should be, and the supply curve should shift to the left. This would account for the full costs (both marginal and society's costs).
There are two main ways of government intervention to achieve this, a tax and tradeable permits (quota). A tax is an imposed cost to business. It would force businesses to account for their enviromental damge for the products they produce. THe key advantage of a tax is its effects do respond to the economic cycle. When the company is experiancing high growth it will produce more and therefore pay more tax to account for this, and vice versa. With a permit it restricts the business to keep their emissions within a certain target. This encourages the business to enact more carbon friendly practices and being able to trade their remaining permits to businesses would can not meeting these requirements. This also would make businesses accountable for their increased emissions by having to purcahse more permits.