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MARGINAL COST AND DIMINISHING MARGINAL RETURNS: Decreasing then increasing marginal cost that gives rise to a U-shaped marginal cost curve reflects increasing then decreasing marginal returns. In particular the decreasing marginal returns is caused by the law of diminishing marginal returns. As such, the law of diminishing marginal returns affects not only the short-run production of a firm but also the cost of production in the short run.

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MARGINAL REVENUE PRODUCT AND FACTOR DEMAND

A perfectly competitive firm's factor demand curve is that negatively-sloped portion of its marginal revenue product curve. A perfectly competitive firm maximizes profit by hiring the quantity of input that equates factor price and marginal revenue product. As such, the firm moves along its negatively-sloped marginal revenue product curve in response to changing factor prices.

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