A company has a variable cost V(x) = 3x^2 + 3500 and a fixed cost of ₹2000 . The marginal cost of producing 50 units is: - Mathematics MCQ Mathematics Mock Test - 11 2026 | ExamTest.live

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A company has a variable cost V (x) = 3 x^{2} + 3500 and a fixed cost of ₹2000 . The marginal cost of producing 50 units is:

Solution & Step-by-step Explanation

Total cost C (x) = V (x) + Fixed Cost = 3 x^{2} + 3500 + 2000 = 3 x^{2} + 5500 .Marginal Cost MC = \frac{d C}{d x} : MC = \frac{d}{d x} (3 x^{2} + 5500) = 6 x At x = 50 : MC = 6 \times 50 = 300

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A company has a variable cost V (x) = 3 x^{2} + 3500 and a fixed cost of ₹2000 . The marginal cost of producing 50 units is:

400

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300

700

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