This paper presents a diagrammatic solution to the firm's profit-maximizing
price discrimination problem in the face of capacity constraints. Airlines
, hotels, and other firms practice yield management, allocating fixed capac
ity to customer groups paying different prices. In these cases, the firm's
short-run problem is not a decision about production levels, but it is one
of allocating a fixed number of output units among customers. Our diagram s
hows that the conditions for profit-maximizing price discrimination are ver
y different under these circumstances than in the standard model in which t
he firm is not constrained by capacity.