In a market, the marginal cost function for producing x kg of sweets is MC = 5 + 2x. The cost of producing 10 kg is ₹200. The total cost function C(x) is:
In a market, the marginal cost function for producing x kg of sweets is MC = 5 + 2x. The cost of producing 10 kg is ₹200. The total cost function C(x) is:
- A. 5x + x² + 50
- B. 5x + x² − 50
- C. 5x + 2x² + 50
- D. 5x + x² + 150
Answer: A) 5x + x² + 50
Explanation: C(x) = ∫MC dx = ∫(5+2x)dx = 5x + x² + K. Given C(10) = 50 + 100 + K = 200 → K = 50. So C(x) = 5x + x² + 50.
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