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TOTAL PRODUCT AND MARGINAL PRODUCT: A mathematical connection between marginal product and total product stating that marginal product IS the slope of the total product curve. If the total product curve has a positive slope (that is, is upward sloping), then marginal product is positive. If the total product curve has a negative slope (downward sloping), then marginal product is negative. If the total product curve has a zero slope (horizontal), then marginal product is zero. Moreover, if the total product curve has a positive and increasingly steeper slope, then the marginal product is positive and rising. If the total product curve has a positive and decreasingly steeper slope, then the marginal product is positive but falling.

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INCREASING MARGINAL RETURNS

In the short-run production by a firm, an increase in the variable input results in an increase in the marginal product of the variable input. Increasing marginal returns typically surface when the first few quantities of a variable input are added to a fixed input. This is one of two alternatives for marginal returns. The other is decreasing marginal returns. A related phenomenon for long-run production is increasing returns to scale.

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