Economics
Profit Maximization
Quick fact
The formal marginal analysis for profit maximization was developed in the 19th century, but the idea that firms seek the highest profit dates back to Adam Smith.
Why this is interesting
Every business wants to make as much money as possible—but how does a firm actually decide exactly how many units to produce?
Read the full explanation
Understanding Profit Maximization
Profit is the difference between total revenue (price × quantity sold) and total cost (all expenses). To maximize profit, a firm doesn't just try to produce as much as possible—it compares the benefit of selling one more unit (marginal revenue) with the cost of making that unit (marginal cost). If marginal revenue exceeds marginal cost, producing that extra unit adds to profit. The firm should keep increasing output until marginal revenue equals marginal cost. At that point, profit is at its highest, and producing more would reduce profit. This rule applies regardless of the market setting, but the shape of marginal revenue depends on whether the firm is a price-taker or a price-maker.
A deeper explanation
The mechanism behind profit maximization is rooted in calculus: profit (π) = R(Q) - C(Q), where R is total revenue and C is total cost. The first-order condition for a maximum is dπ/dQ = MR - MC = 0, so MR = MC. Intuitively, when MR MC, increasing Q raises profit; when MR < MC, decreasing Q raises profit. This condition finds the quantity where profit is maximized, provided the second-order condition holds (MC rising faster than MR). The principle explains why firms adjust output in response to changes in costs or market prices. It is a unifying concept in microeconomics, linking production decisions to market efficiency and the shape of the supply curve.