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TANGENCY: A geometric condition that occurs when two curves touch at a single point with identical slopes at that point. This condition of tangency surfaces in several different areas of economic analysis, including indifference curve analysis (tangency between an indifference curve and budget line) and monopolistic competition (tangency between demand curve and long-run average cost curve). The tangency between two curves should be contrasted with the condition of intersection, in which two cross at a single point but do not have identical slopes.

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DECREASING MARGINAL RETURNS

In the short-run production of a firm, an increase in the variable input results in a decrease in the marginal product of the variable input. Decreasing marginal returns typically surface after the first few quantities of a variable input are added to a fixed input. This is one of two types of marginal returns. The other is increasing marginal returns. A related phenomenon is diseconomies of scale associated with long-run production.

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