When capital (K) is fixed at 4 units and labour (L) is increased, the resulting output at each labour level is known as the Total Product (TP) or Total Return to the Variable Input. It measures the total output generated by successive units of the variable factor while other inputs remain constant. Therefore, Option B is correct. Option A is incorrect because Marginal Physical Product measures only the additional output from one extra unit of labour. Option C is incorrect because "Average Fixed Return" is not a production concept in NCERT. Option D is incorrect because isoquants represent combinations of two variable inputs producing the same output and are unrelated to a fixed-capital production schedule.

According to the NCERT production function: Statement I is correct because if any necessary input becomes zero, production becomes zero. Statement II is correct because when both labour and capital are positive, production is positive. Statement III is incorrect because in the short run, the fixed factor remains unchanged while only the variable factor changes. Therefore, Option D (I and II only) is correct.

According to Table 3.2 and the Law of Variable Proportions in NCERT, the Average Product (AP) first rises due to better utilization of the fixed factor and later falls because of diminishing marginal returns. 1 → b During the initial stage (L = 1 to L = 3), the combination of labour and the fixed factor becomes more efficient, causing Average Product to rise. Therefore, 1 → b. 2 → a During the later stage (L = 4 to L = 6), the fixed factor becomes relatively crowded, and Average Product starts to decline. Therefore, 2 → a. 3 → d When Marginal Product (MP) is greater than Average Product (AP), each additional unit contributes more than the current average, causing AP to continue rising. Therefore, 3 → d. 4 → c When Marginal Product becomes less than Average Product, it pulls the average downward, causing AP to begin falling. Therefore, 4 → c. Thus, the correct matching is: 1 → b 2 → a 3 → d 4 → c Hence, Option C is correct.

Average Product (AP) is the average output produced per unit of the variable input. Since AP is the average of all Marginal Products up to a given level of employment: If MP > AP, the average is pulled upward, so AP rises. If MP = AP, AP reaches its maximum. If MP < AP, AP begins to fall. Therefore, the blank should be filled with "Higher", making Option C correct. Option A is incorrect because MP lower than AP causes AP to fall. Option B is incorrect because AP is maximum, not rising, when MP equals AP. Option D is incorrect because a negative MP would reduce AP rather than increase it.

The Assertion is true because Marginal Product (MP) measures the additional output obtained from employing one extra unit of a variable input, while all other inputs remain constant. The Reason is also true because keeping other inputs fixed ensures that any change in output is caused only by the additional unit of the variable input. This isolates the true marginal contribution of that factor. Thus, the Reason correctly explains the Assertion. Therefore, Option A is correct.

The Marginal Product (MP) of the Lth unit measures the additional output produced by employing one more unit of the variable input. Mathematically, MP = TP(L) − TP(L − 1) The correct sequence is: 1. Identify the Total Product at L units (I). 2. Identify the Total Product at (L − 1) units (II). 3. Subtract the second value from the first (III). Thus, the correct order is: I → II → III Therefore, Option B is correct.

According to the relationship between Total Product and Marginal Product, Total Product is obtained by adding the Marginal Products of all units employed. Given: MP₁ = 10 MP₂ = 14 MP₃ = 16 Therefore, TP = 10 + 14 + 16 = 40 Hence, Option A is correct. Option B calculates Average Product, not Total Product. Option C finds only the difference between two MPs. Option D incorrectly multiplies the Marginal Products.

Statement I is correct because Marginal Product measures the rate at which Total Product increases. Statement II is correct because when MP is positive but falling, Total Product continues to increase, although at a decreasing rate. Statement III is incorrect because Total Product is the sum of Marginal Products, not their product. Therefore, Option A (I and II only) is correct.

According to the Law of Variable Proportions explained in NCERT, increasing the variable factor while keeping the fixed factor constant passes through different stages of production. 1 → b During the initial employment phase, additional units of labour are combined more efficiently with the fixed factor. This improves factor proportions and increases Marginal Product. Therefore, 1 → b. 2 → a During the later employment phase, the fixed factor becomes crowded as more labour is employed. Consequently, each additional worker contributes proportionally less output. Therefore, 2 → a. 3 → c In the initial stage of production, Marginal Product rises because the fixed factor is utilized more efficiently. Therefore, 3 → c. 4 → d In the later stage, the fixed factor becomes relatively scarce compared to labour, causing Marginal Product to fall due to diminishing marginal returns. Therefore, 4 → d. Thus, the correct matching is: 1 → b 2 → a 3 → c 4 → d Hence, Option C is correct.

The Law of Variable Proportions arises because one factor of production is fixed while another factor is varied. As more units of the variable factor are employed, the proportion (ratio) between the fixed and variable inputs changes, leading to changes in Marginal Product. Therefore, Option B is correct. Option A is incorrect because changes in factor prices do not explain this law. Option C is incorrect because fixed costs are not the fundamental cause. Option D is incorrect because long-run returns involve changes in all inputs.

The Assertion is true because, in the initial stage of the Law of Variable Proportions, increasing the variable input while keeping the fixed input constant improves productivity, causing Marginal Product (MP) to rise. The Reason is also true because adding more units of the variable input makes the factor proportions more suitable. The fixed factor is utilized more efficiently, allowing each additional unit of labour to contribute more output. Thus, the Reason correctly explains the Assertion. Therefore, Option A is correct.

According to the Law of Variable Proportions: Initially, the fixed factor is underutilized because too little labour is employed (II). As more labour is added, factor proportions become more suitable, increasing productivity (I). After a certain stage, additional labour causes the production process to become crowded, reducing Marginal Product (III). Thus, the correct sequence is: II → I → III Therefore, Option A is correct.

In the initial stage of production: Statement I is correct because one worker cannot efficiently cultivate four hectares of land. Statement II is correct because each additional worker improves the utilization of land, causing Marginal Product to increase. Statement III is incorrect because Marginal Product falls only after the fixed factor becomes crowded, not during underutilization. Therefore, Option B is correct.

When additional workers are employed while land remains fixed, each worker receives less land to cultivate. After a certain point, the land becomes insufficient for each worker to operate efficiently. This crowding causes the Marginal Product of labour to decline. Therefore, Option B is correct. Option A is incorrect because excessive land characterizes the initial stage. Option C is incorrect because proportional land allocation does not explain crowding. Option D is incorrect because optimal land allocation would maximize efficiency rather than reduce it.

The passage explains that: MP > AP causes AP to rise. MP < AP causes AP to fall. Therefore, when MP = AP, the AP curve changes from rising to falling. This means AP is at its maximum exactly where the MP curve intersects it from above. Therefore, Option B is correct. Option A is incorrect because AP is no longer rising at that point. Option C is incorrect because AP starts falling only after the intersection. Option D is incorrect because AP is well-defined at the intersection.

The passage explains the relationship between Average Product (AP) and Marginal Product (MP): If MP > AP, AP rises. If MP = AP, AP reaches its maximum. If MP < AP, AP falls. Therefore, when AP is falling, MP must be less than AP. Otherwise, AP would either continue rising or remain at its maximum. Hence, Option A is correct. Option B is incorrect because MP below AP pulls the average down, not up. Option C is incorrect because AP is directly influenced by MP. Option D is incorrect because Total Product does not become negative.

According to NCERT, the relationship between Average Product (AP) and Marginal Product (MP) determines the movement of the AP curve. 1 → a To the left of the maximum point of the AP curve, Marginal Product is greater than Average Product. Therefore, AP continues to rise. Hence, 1 → a. 2 → b To the right of the maximum point of the AP curve, Marginal Product becomes less than Average Product, causing AP to decline. Hence, 2 → b. 3 → c At the maximum point of the AP curve, Marginal Product becomes exactly equal to Average Product. Hence, 3 → c. 4 → d The MP curve intersects the AP curve from above precisely at the point where AP is at its maximum. Hence, 4 → d. Thus, the correct matching is: 1 → a 2 → b 3 → c 4 → d Hence, Option C is correct.

Average Product (AP) is calculated as: AP = Total Product ÷ Labour Since Total Product is the cumulative sum of Marginal Products, AP represents the average of all Marginal Products up to a given level of employment. An average changes more gradually than individual marginal values. Hence, the AP curve rises less sharply than the MP curve during the initial stages. Therefore, Option C is correct.

The Assertion is true because Total Physical Product (TPP) is another name for Total Product (TP). Total Product can be obtained by adding the Marginal Products contributed by each unit of the variable input. The Reason is also true because this cumulative addition of Marginal Products directly gives Total Product. Therefore, the Reason correctly explains the Assertion. Hence, Option A is correct.

To calculate Average Product (Average Return) correctly: 1. Ascertain the fixed amount of the other factor so that production is analyzed in the short run (III). 2. Determine the Total Product (Total Return) corresponding to the given level of the variable input (I). 3. Divide Total Product by the number of units of the variable input to obtain Average Product (II). Thus, the correct sequence is: III → I → II Therefore, Option A is correct.