A manufacturing plant in Noida finds its marginal cost of producing x units is given by MC = 3x² - 2x + 5. If the fixed cost (cost at x=0) is ₹ 5000, find the total cost function C(x).
A manufacturing plant in Noida finds its marginal cost of producing x units is given by MC = 3x² - 2x + 5. If the fixed cost (cost at x=0) is ₹ 5000, find the total cost function C(x).
- A. x³ - x² + 5x + 5000
- B. 3x³ - x² + 5x + 5000
- C. x³ - 2x² + 5x + 5000
- D. x³ - x² + 5x
Answer: A) x³ - x² + 5x + 5000
Explanation: C(x) = ∫ (3x² - 2x + 5) dx = x³ - x² + 5x + K. Since C(0) = 5000, K = 5000.
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