For the production function q = K × L, which of the following input combinations lies on the same isoquant as K = 2 and L = 6?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → K = 3 and L = 4
Given:
q = K × L
K = 2, L = 6
Points on one isoquant give the same output, so find the output at K = 2, L = 6 and check each option.
\( \displaystyle 2 \times 6 = 12 \)
\( \displaystyle \text{Option (1): } 4 \times 4 = 16 \)
\( \displaystyle \text{Option (2): } 1 \times 6 = 6 \)
\( \displaystyle \text{Option (3): } 6 \times 3 = 18 \)
\( \displaystyle \text{Option (4): } 3 \times 4 = 12 \)
Only K = 3 and L = 4 gives the same output, 12.
NCERT (2026-27): “3.1 Production Function … Consider the farmer we mentioned above. For simplicity, we assume that the farmer uses only two inputs to produce wheat: land and labour. A production function tells us the maximum amount of wheat he can produce for a given amount of land that he uses, and a given number of hours of labour that he performs. Suppose that he uses 2 hours of labour/ day and 1 hectare of land to produce a maximum of 2 tonnes of wheat. Then, a function that describes this relation is called a production function. One possible example of the form this could take is: q = K × L, Where, q is the amount of wheat produced, K is the area of land in hectares, L is the number of hours of work done in a day.” “Isoquant In Chapter 2, we have learnt about indifference curves. Here, we introduce a similar concept known as isoquant. It is just an alternative way of representing the production function. Consider a production function with two inputs labour and capital. An isoquant is the set of all possible combinations of the two inputs that yield the same maximum possible level of output. Each isoquant represents a particular level of output and is labelled with that amount of output. …” |