If the demand function is given by p = 1500 – 2x – x2 then find the marginal revenue when x = 10.

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1160 Explanation: Demand function P = 1500 – 2x – x2 $\therefore$ Revenue (R) = Px = 1500x – 2x2 – x3 $\therefore$ Marginal Revenue MR = (dR)/dx = d/dx (1500x - 2x^2 - x^3) = 1500 – 4x – 3x2 When x = 10 Then (MR)x=10 = 1500 – 4 $\times$ 10 – 3 $\times$ 102 = 1500 – 40 – 300 = 1160

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