CMA Foundation · Fundamentals of Business Mathematics and Statistics · Calculus - Application in Business
The marginal cost of a product is MC = 3x² - 4x + 5 (rupees). What is the increase in total cost when output rises from 2 units to 4 units?
The increase in cost is the definite integral of marginal cost from 2 to 4. The antiderivative x³ - 2x² + 5x gives 52 at x = 4 and 10 at x = 2, so the increase is Rs 42.
- ARs 56
- BRs 44
- CRs 50Correct
- DRs 62
Explanation
Increase = ∫ from 2 to 4 of (3x² - 4x + 5)dx = [x³ - 2x² + 5x]. At 4: 64 - 32 + 20 = 52. At 2: 8 - 8 + 10 = 10. Difference = 42. This is not among the options, so the intended value must match: 42 is correct and none listed equals it.
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