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Q.Explain the average product and marginal product with the help of diagrams. (4 + 2 = 6) OR Explain the long-run average cost and long-run marginal cost with the help of diagrams. (4 + 2 = 6)

Rajasthan RbseRBSE Rajasthan Senior Secondary (Class-12) Commerce Board 2020Subjective· 6mImportance★★★★★
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AP = TP ÷ L and MP = change in TP ÷ change in L; as the variable factor increases both rise then fall, and the MP curve intersects the AP curve at the highest point of AP.

(Answering the first alternative — average product and marginal product.)

Average Product (AP): Average product is the total product per unit of the variable factor. If L units of the variable factor (say labour) produce total product TP, then:

AP = Total Product ÷ Units of variable factor = TP ÷ L

It tells us the output produced on average by each unit of the variable factor.

Marginal Product (MP): Marginal product is the addition to total product when one more unit of the variable factor is employed, other factors being constant:

MP = Change in Total Product ÷ Change in units of variable factor = ΔTP ÷ ΔL

Behaviour and relationship (Law of Variable Proportions): As more units of the variable factor are used with fixed factors, both AP and MP first rise, reach a maximum, and then fall — giving each an inverted-U (hill) shape. The important relationships between MP and AP are:

  1. When MP > AP, AP is rising.
  2. When MP < AP, AP is falling.
  3. When MP = AP, AP is at its maximum — so the MP curve cuts the AP curve from above exactly at the highest point of AP.

Diagram (described):

  • Horizontal axis = units of variable factor (labour), vertical axis = product (AP and MP). …

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