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TOTAL-MARGINAL RULE: A mathematical connection between a marginal value is the slope of a curve of the corresponding total value stating that the marginal IS the slope of the total curve. If the total curve has a positive slope (that is, is upward sloping), then marginal is positive. If the total product has a negative slope (downward sloping), then marginal is negative. If the total curve has a zero slope (horizontal), then marginal is zero. Moreover, if the total curve has an increasing slope (becoming steeper), then the marginal is rising. If the total curve has a decreasing slope (becoming flatter), then the marginal is falling.

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RETURNS TO SCALE

Changes in production the occur when all resources are proportionately changed in the long run. Returns to scale come in three forms--increasing, decreasing, or constant based on whether the changes in production are proportionally more than, less than, or equal to the proportional changes in inputs. Returns to scale are the guiding principle for long-run production, playing a similar role that the law of diminishing marginal returns plays for short-run production.

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