marginal analysis
Suppose you are eating slices of pizza. The first slice is heaven. The third is nice. By the sixth, you are stuffed and the next slice is almost a chore. The smart question while deciding whether to eat one more is not 'do I like pizza?' but 'is THIS next slice worth it, right now?' That is marginal thinking: judging decisions one small step at a time, by the extra benefit and extra cost of doing a little bit more, rather than all-or-nothing.
Marginal analysis compares marginal benefit (the added benefit from one more unit) with marginal cost (the added cost of that one more unit). The rule of thumb is simple and powerful: keep doing more as long as the marginal benefit is at least as large as the marginal cost, and stop where they meet. If studying one more hour raises your exam score by enough to be worth the lost sleep, study; once the extra hour buys you almost nothing, stop. Notice it ignores totals and sunk amounts: what matters is the next increment.
This is one of the great unlocks of economics, because the right amount of almost everything — pollution, safety, advertising, factory output — is found at the margin, not at zero and not at maximum. A factory should produce up to the point where the cost of one more item equals the revenue from selling it. A common error is to confuse marginal with average or total: a profitable company can still be making a loss on its very next sale, and that next-sale logic is what should guide the decision.
An airline has a flight about to depart with 10 empty seats. A standby passenger offers 50 dollars. The average cost of a seat may be 200 dollars, but the marginal cost of carrying one more person is almost zero — so taking the 50 dollars makes sense.
The empty seat's marginal cost is near zero, so 50 dollars beats nothing.
Don't confuse marginal with average or total. The decision rule is 'is the NEXT unit worth it?', not 'has the whole project been worth it?'.