Suppose the weekly revenue and weekly cost (both in dollars) for a product are given by R(x)

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Suppose the weekly revenue and weekly cost (both in dollars) for a product are given by

R(x) = 300x - 0.001x2 and C(x) = 4000 + 30x,

respectively, where x is the number of units produced and sold. Find the rate at which profit is changing with respect to time when the number of units produced and sold is 50 and is increasing at a rate of 5 units per week.

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