A manufacturing firm has its variable cost given by C(x) = x(12 - x^3) . The price per unit is p(x) = 6x - 2 . Find the marginal revenue when 3 units - Mathematics MCQ Mathematics Mock Test - 2 2026 | ExamTest.live

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A manufacturing firm has its variable cost given by C (x) = x (12 - x^{3}) . The price per unit is p (x) = 6 x - 2 . Find the marginal revenue when 3 units were in demand.

Solution & Step-by-step Explanation

Revenue R (x) = Price \times Quantity = p (x) \cdot x Given p (x) = 6 x - 2 : R (x) = (6 x - 2) x = 6 x^{2} - 2 x Marginal Revenue (MR) is the derivative of the revenue function: MR = \frac{d R}{d x} = 12 x - 2 At x = 3 : MR = 12 (3) - 2 = 36 - 2 = 34 Rs

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A manufacturing firm has its variable cost given by C (x) = x (12 - x^{3}) . The price per unit is p (x) = 6 x - 2 . Find the marginal revenue when 3 units were in demand.

34 Rs

28 Rs

36 Rs

None

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