Economics
Constrained optimization plays a central role in economics. For example, the choice problem for a consumer is represented as one of maximizing a utility function subject to a budget constraint. The Lagrange multiplier has an economic interpretation as the shadow price associated with the constraint, in this example the marginal utility of income. Other examples include profit maximization for a firm, along with various macroeconomic applications.
Read more about this topic: Lagrange Multiplier, Applications
Famous quotes containing the word economics:
“There is no such thing as a free lunch.”
—Anonymous.
An axiom from economics popular in the 1960s, the words have no known source, though have been dated to the 1840s, when they were used in saloons where snacks were offered to customers. Ascribed to an Italian immigrant outside Grand Central Station, New York, in Alistair Cooke’s America (epilogue, 1973)
“I am not prepared to accept the economics of a housewife.”
—Jacques Chirac (b. 1932)
“The animals that depend on instinct have an inherent knowledge of the laws of economics and of how to apply them; Man, with his powers of reason, has reduced economics to the level of a farce which is at once funnier and more tragic than Tobacco Road.”
—James Thurber (1894–1961)