Question

Given below are two statements:
Statement (I): How to produce means what level of inputs to apply in production.
Statement (II): The equation $Y = f(X_1, X_2 / X_3, X_4, \dots, X_n)$ indicates that $X_1$ and $X_2$ are fixed factors, while $X_3, X_4, \dots, X_n$ are held variable at their arithmetic mean level.
In light of the above statements, choose the most appropriate answer from the options given below:

• A. Both Statement (I) and Statement (II) are correct.
• B. Both Statement (I) and Statement (II) are incorrect.
• C. Statement (I) is correct but Statement (II) is incorrect.
• D. Statement (I) is incorrect but Statement (II) is correct.

Hint:

Always remember the production function notation: $Y = f(\text{Variable Inputs} \mid \text{Fixed Inputs})$. The vertical bar or slash separates variables from parameters/fixed factors.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This question tests basic resource allocation principles and standard production function notations in agricultural economics.

Step 3: Detailed Explanation:
Let us analyze each statement:
- Statement (I): The fundamental economic question "How to produce" refers to the choice of technology and input combinations (e.g., labour-intensive versus capital-intensive), which is governed by the factor-factor relationship (finding least-cost combinations). The question of "what level of inputs to apply" corresponds to "how much to produce" (factor-product relationship). Thus, Statement (I) is incorrect.
- Statement (II): In production function notation, the variables written before the slash symbol ($X_1, X_2$) represent the variable inputs whose quantities can be adjusted in the short run. The variables written after the slash ($X_3, X_4, \dots, X_n$) represent the fixed inputs that are held constant. Statement (II) states the opposite, claiming that $X_1, X_2$ are fixed and the rest are variable. Therefore, Statement (II) is incorrect.
Consequently, both Statement (I) and Statement (II) are incorrect.

Step 4: Final Answer:
Both Statement (I) and Statement (II) are incorrect, corresponding to option (B).