A firm's total cost function is C(x) = x³/3 − 5x²/2 + 6x + 15. The marginal cost is minimum at x equal to: A. 2.5 B. 5 C. 3 D. 2 Answer: A) 2.5 Explanation: MC = C'(x) = x² − 5x + 6. To minimize MC, take derivative: MC' = 2x − 5 = 0 → x = 2.5. MC'' = 2 > 0, so minimum.

imo class 12 application of derivatives

A firm's total cost function is C(x) = x³/3 − 5x²/2 + 6x + 15. The marginal cost is minimum at x equal to:

VAVidaara Admin Asked 8d ago 0 views 0 answers

A firm's total cost function is C(x) = x³/3 − 5x²/2 + 6x + 15. The marginal cost is minimum at x equal to:

Answer: A) 2.5

Explanation: MC = C'(x) = x² − 5x + 6. To minimize MC, take derivative: MC' = 2x − 5 = 0 → x = 2.5. MC'' = 2 > 0, so minimum.

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