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PERFECT COMPETITION AND SHORT-RUN SUPPLY CURVE: A perfectly competitive firm's supply curve is that portion of its' marginal cost curve that lies above the minimum of the average variable cost curve. A perfectly competitive firm maximizes profit by producing the quantity of output that equates price and marginal cost. As such, the firm moves along it's marginal cost curve in response to alternative prices. Because the marginal cost curve is positively sloped due to the law of diminishing marginal returns, the firm's supply curve is also positively sloped.

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LONG-RUN AVERAGE COST CURVE, DERIVATION

The long-run average cost curve is the envelope of an infinite number of short-run average total cost curves, with each short-run average total cost curve tangent to, or just touching, the long-run average cost curve at a single point corresponding to a single output quantity. The key to the derivation of the long-run average cost curve is that each short-run average total cost curve is constructed based on a given amount of the fixed input, usually capital. As such, when the quantity of the fixed input changes, the short-run average total cost curve shifts to a new location.

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North Carolina supplied all the domestic gold coined for currency by the U.S. Mint in Philadelphia until 1828.
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