I'd be happy to answer.
There is often a blurring of those concepts.
On costing, we try to keep to the pure concept of what does it cost, what did it cost, or what do I estimate it is going to cost. Pricing can then come into play if, for instance, there is an aspect of cost recovery in which a department might be involved. Establishing the price, or the amount to cost recover, often does not recover full cost. So there's a policy decision that it would be reasonable to recover x dollars as opposed to the full amount.