A factory in New Delhi produces x units of smartwatches. The cost function is C(x) = 0.005x³ − 0.02x² + 30x + 5000 in rupees. The marginal cost when 3 units are produced is:
A factory in New Delhi produces x units of smartwatches. The cost function is C(x) = 0.005x³ − 0.02x² + 30x + 5000 in rupees. The marginal cost when 3 units are produced is:
- A. ₹ 30.135
- B. ₹ 30.015
- C. ₹ 29.880
- D. ₹ 30.500
Answer: B) ₹ 30.015
Explanation: Marginal Cost is C'(x) = 0.015x² − 0.04x + 30. At x = 3, C'(3) = 0.015(9) − 0.04(3) + 30 = 0.135 − 0.120 + 30 = 30.015.
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