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A lumber company estimates the cost of producing x units of a product to be C(x) = 0.1x2 + 2260x + 1450 dollars, while the

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A lumber company estimates the cost of producing x units of a product to be C(x) = 0.1x2 + 2260x + 1450 dollars, while the price of each unit has to be p(x) = 50(127 - 0.2x) in order to sell all x units. However, seasonal supply of raw materials makes x dependent on time so that x(1) = - 0.35(t - 6) + 192, where t is measured in months. Use the value of marginal profit at t = 2 to estimate the change in profit during the third month

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