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A manufacturing plant calculates its Cost function, C(x), to be C(x) = x- 4x + 50/x and its Revenue function, R(x), to be R(x)

A manufacturing plant calculates its Cost function, C(x), to be C(x) = x- 4x + 50/x and its Revenue function, R(x), to be R(x) = 50x. Construct the Profit function, P(x), and determine the x-value when dP/dt is 4.544 and dx/dt = 0.05.

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