Aproduction possibility curve deals with which of these concepts

It deals with opportunity costs. Opportunity costs are not real costs, but rather the things that you had to give up in order to obtain something else. What you didn't obtain is considered to be an opportunity cost. A production possibility curve deals with this.

The one that most represents the earths mantle would be the skin since the mantle is the upper part of the earths depths which is just like the skin of an apple.