[All Steps] Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.
Question: Let \(\mathrm{C}(\mathrm{x})\) be the cost function and \(\mathrm{R}(\mathrm{x})\) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions. \(C(x)=0.0002 x^{3}-0.048 x^{2}+200 x+50,000\)
\(R(x)=400 x\)
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