Question:

Given a cubic cost function C(Q) = Q³ + Q² + Q + 1, arrange total cost (TC), Marginal Cost (MC), Average Cost (AC), Average Fixed Cost (AFC) in increasing order when Q = 2.
(a) AFC 
(b) TC 
(c) MC 
(d) AC

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Compute cost values and arrange.
Updated On: Dec 21, 2024
  • (A), (B), (C), (D)
  • (A), (D), (B), (C)
  • (A), (C), (B), (D)
  • (C), (B), (D), (A)
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The Correct Option is B

Solution and Explanation

Given the cost function, we can calculate:

  • \(AFC = \frac{FC}{Q}\)
  • \(TC = C(Q)\)
  • \(MC = \frac{d(TC)}{dQ}\)
  • \(AC = \frac{TC}{Q}\)

After calculating the values when \( Q = 2 \), the correct order from smallest to largest is: \(AFC, AC, TC, MC\) 
 Hence, the correct answer is (b).

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