CA Foundation · Quantitative Aptitude · Differential and Integral Calculus
The marginal cost of a firm is MC = 6x + 10 (in ₹), where x is the number of units. Increasing output from 2 units to 5 units raises total cost by:
The rise in total cost equals the integral of marginal cost from 2 to 5. The antiderivative 3x² + 10x gives 125 at x=5 and 32 at x=2, so the increase in total cost is ₹93.
- A₹93Correct
- B₹63
- C₹123
- D₹83
Explanation
Increase in cost = ∫ from 2 to 5 of (6x + 10) dx = [3x² + 10x]. At 5: 75 + 50 = 125. At 2: 12 + 20 = 32. Difference = 93. Using only MC at x=5 (40) times 3 units would give a wrong figure (120 type errors).
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