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If C is the cost ($ out) a company incurs by producing x units of their commodity, the marginal cost MC is equal to limx0=

If C is the cost ($ out) a company incurs by producing x units of their commodity, the marginal cost MC is equal to lim∆x→0= ∆C/∆x = dC/dx. Similarly, if R is the revenue ($ in ) a company gather by producing x units on their commodity, the marginal revenue MR is equal to dR/dx. Recall that Profit = ( $ in ) - ($ out) = Revenue - Cost. If a company cost function C(x) = 10,000+ 3x^2 and revenue function R(x) = 450x, find the number x units that should be produced to maximize profit.


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