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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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DERIVATION, PRODUCTION POSSIBILITIES CURVE

A production possibilities curve, which illustrates the alternative combinations of two goods that an economy can produce with given resources and technology, is often derived from a production possibilities schedule. This derivation involves plotting each bundle from the production possibilities schedule as a point in a diagram measuring the two goods on the vertical and horizontal axes.

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The earliest known use of paper currency was about 1270 in China during the rule of Kubla Khan.
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