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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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MARGINAL COST AND MARGINAL PRODUCT

The U-shape of the marginal cost curve is closely related to the hump-shape of the marginal product curve. The increasing portion of the marginal product curve corresponds with the decreasing portion of the marginal cost curve. The decreasing portion of the marginal product curve corresponds with the increasing portion of the marginal cost curve. The peak of the marginal product curve corresponds with the minimum of the marginal cost curve.

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