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Question 33 of 37

Q.The marginal product curve in the input-output plane, looks like ____________: (Choose the correct alternative)

(a) a 'U' shaped curve
(b) an inverse 'U' shaped curve
(c) an inverse 'S' shaped curve
(d) an 'S' shaped curve
Telangana TsbieCBSE Class XII Board 2019Subjective· 1mImportance★★★★★
89% · 33/37 Questions
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The marginal product curve illustrates the Law of Variable Proportions, initially rising due to increasing returns and then falling due to diminishing returns, resulting in an inverse 'U' shape.

To understand the shape of the marginal product curve, we must first grasp the concept of marginal product itself and the fundamental economic principle known as the Law of Variable Proportions.

Marginal Product (MP) refers to the additional output produced by employing one more unit of a variable input, while keeping all other inputs constant. For example, if a firm increases its labor from 5 to 6 workers and total output rises from 100 units to 115 units, the marginal product of the 6th worker is 115−100=15115 - 100 = 15 units.

Marginal Product (MPnMP_n) of the nn-th unit of variable input is given by:

MPn=TPn−TPn−1MP_n = TP_n - TP_{n-1}

where TPnTP_n is the Total Product with nn units of the variable input, and TPn−1TP_{n-1} is the Total Product with n−1n-1 units.

Alternatively, MP=ΔTPΔLMP = \frac{\Delta TP}{\Delta L}, where ΔTP\Delta TP is the change in Total Product and ΔL\Delta L is the change in the variable input (e.g., labor).

The shape of the marginal product curve is dictated by the Law of Variable Proportions, which operates in the short run when at least one input is fixed (e.g., land, machinery) and another is variable (e.g., labor). This law describes three stages of production:

  1. Stage of Increasing Returns to a Factor: Initially, as more units of the variable input are added to a fixed input, the marginal product tends to increase. This happens because of better utilization of the fixed factor, specialization of labor, and improved coordination. For instance, adding a second worker to a single machine might allow for division of tasks, making both more productive than a single worker. During this stage, the MP curve slopes upwards.

  2. Stage of Diminishing Returns to a Factor: After a certain point, as more units of the variable input are continuously added to the fixed input, the marginal product begins to decrease. This is the most common and significant stage. The fixed factor becomes relatively scarce compared to the increasing variable factor. Overcrowding, less efficient use of machinery, and coordination difficulties set in. Each additional unit of the variable input still adds to total output, but by a smaller amount than the previous one. During this stage, the MP curve slopes downwards but remains positive. …

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