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Question

Which one of the following statements is not correct ?

This question was previously asked in
UGC NET 2017 Paper 3 Geography Question Paper (05-Nov-2017)
The correct answer is

Average cost equals marginal cost where marginal cost is minimum.

 Option 4 is the incorrect statement. The two curves meet where average cost is at its minimum, not where marginal cost is at its minimum.

The relationship between the AC and MC curves. Both are U-shaped, and their positions relative to one another follow from a single arithmetical fact about averages :

WhenWhat happens to AC
MC < ACAC is falling — adding an item below the current average pulls the average down
MC = ACAC is at its minimum — it has stopped falling and not yet begun to rise
MC > ACAC is rising

So the MC curve must cut the AC curve exactly at the lowest point of AC, and it does so from below. That is statement 3, which is therefore correct — and it is the direct contradiction of statement 4.

Where MC reaches its own minimum. Earlier, and to the left of the AC minimum. At that point MC is still below AC, so AC is still falling. The two curves are nowhere near equal there. The order along the output axis is: MC minimum first, then AVC minimum, then AC minimum — and MC passes through the lowest point of both AVC and AC.

Why statements 1 and 2 are correct. Marginal cost is the cost of the additional unit alone, while average cost spreads the whole cost over all units. The average therefore responds sluggishly — it is anchored by everything produced so far. The marginal figure moves freely, so it falls faster and later rises faster, which is why the MC curve is steeper on both limbs and lies inside the AC curve.

The intuition, put plainly. Think of a batsman’s average. If his score in the next innings is below his average, his average falls; if above, it rises; and his average is at its lowest exactly when the new score equals it. The new innings is the marginal value and the career figure is the average — the relationship is identical.

The same rule applies to AVC, and note that AFC falls continuously as output rises, since a fixed total is divided by an ever larger number, which is why AC and AVC converge at high output.

Hence, the incorrect statement is option 4.

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Similar Questions

  1. For the following two statements of Assertion (A) and Reasoning (R), indicate the correct code :

    Assertion (A) : Ridge Lines in isoquant map set the limits for the positive productivities of the respective inputs used in the production process.

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  2. If a 100% scale-efficient plant has 92% technical efficiency and 88.5% allocative-efficiency, then its overall efficiency will be :

  3. Match the production functions List - I with the return to scale List - II.

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  4. It costs a firm ₹ 90 per unit to produce product A, and ₹ 60 per unit to produce B individually. If the firm can produce both products together at ₹ 160 per unit of product A and B, this exhibits signs of:

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  9. When P0 and P1 and Q0 and Q1 denote before and after change in the price and quantity respectively and in both the situations, total outlay remains the same, which of the following formulae give the similar value of the arc price - elasticity of demand ?

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Important Questions from Production Function

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    A.

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    Change in the total cost per unit change in output.

    B.

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    C.

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    Inputed value of inputs owned and used by the firm.

    D.

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  5. Which of the following is not an attribute of production function?

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