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ICAR AIEEA-PG Agricultural Production Economics: practice questions

ICAR AIEEA-PG (Master's admission and PG scholarship) · India · National Testing Agency for ICAR

Original practice questions written to the published syllabus · not past papers
10worked here, free
71written to this exam in this subject
14syllabus units

What this subject covers

The economics of turning inputs into farm output: production functions, the three basic relationships, optimum input use, efficiency, scale and risk.

In the exams: agricultural master's entrance examinations, factor-product relationships (heavy); agricultural economics PhD entrance and fellowship examinations, production economics (heavy); agricultural scientist eligibility tests (heavy)

What ICAR AIEEA-PG asks from it

ICAR AIEEA-PG Group 06 (Agricultural Economics), Unit III

The three relationships and which question each answers; TPP, APP, MPP and elasticity of production; stages of production and where the rational stage lies; MVP = MFC and MC = MR as the optimum; isoquant and PPC properties; types of enterprise relationship. One-step numericals from a response schedule or a quadratic.

Where the 71 questions fall

How our questions for ICAR AIEEA-PG spread across the units of Agricultural Production Economics. Difficulty: 36 easy, 35 medium, 0 hard.

Factor-product relationship7
Optimum input use: MVP equals MFC7
Product-product relationship7
Types of risk and enterprise combination under risk7
Forms of production function and their estimation6
Law of variable proportions and the three stages of production6
Scope of production economics compared with farm management5
Factor-factor relationship5
Cost minimisation5
Isoquants and isoclines4
Economies of scale and size4
Technical and allocative efficiency and production frontiers3
Technological change3
Theory of the family farm2

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Factor-product relationship · easy

Using the same schedule (0 units: 0 q, 1 units: 10 q, 2 units: 26 q, 3 units: 40 q, 4 units: 50 q, 5 units: 56 q, 6 units: 58 q, 7 units: 57 q), the average physical product at 5 units of input is

  1. 6 q
  2. 11.2 q
  3. 56 q
  4. 9.67 q
Answer and working

B. 11.2 q

APP = TPP/X = 56/5 = 11.2 q. 6 q is the MPP of the 5th unit (56 - 50), and 9.67 q is APP at 6 units.

Further reading: Debertin, Agricultural Production Economics

2 · Law of variable proportions and the three stages of production · medium

Why does a rational farmer not operate in stage I for the variable input?

  1. Because APP is still rising, so if it pays to use the input at all, it pays to use more
  2. Because total product is already falling as each additional unit of the variable input is applied
  3. Because marginal product is negative there, so extra input reduces total output
  4. Because the input is free
Answer and working

A. Because APP is still rising, so if it pays to use the input at all, it pays to use more

In stage I Ep > 1: each unit adds more than the average, so returns per unit of input are increasing and more input raises profit per unit. TPP falling and negative MPP describe stage III, not stage I.

Further reading: Debertin, Agricultural Production Economics

3 · Optimum input use: MVP equals MFC · easy

A resource-use-efficiency study finds the ratio MVP/MFC for fertiliser is 1.8. The correct interpretation is that fertiliser is

  1. over-used, and reducing its use would raise profit
  2. used at the optimum
  3. in stage III of production
  4. under-used, and increasing its use would raise profit
Answer and working

D. under-used, and increasing its use would raise profit

A ratio above one means the last unit returns more than it costs, so more should be used until the ratio falls to one. A ratio below one indicates over-use. Stage III would give a negative MVP and so a negative ratio.

Further reading: Heady and Dillon, Agricultural Production Functions

4 · Cost minimisation · medium

The expansion path is the

  1. ridge line where MPP of one input is zero
  2. locus of maximum APP points
  3. long-run average cost curve
  4. isocline along which MRTS equals the input price ratio
Answer and working

D. isocline along which MRTS equals the input price ratio

Every point on the expansion path is a least-cost point for its output at the given prices. Ridge lines are the boundaries of the economic region; the expansion path is one particular isocline within it.

Further reading: Debertin, Agricultural Production Economics

5 · Technical and allocative efficiency and production frontiers · easy

A stochastic frontier estimate shows that a farm could produce 60 q with its inputs, but it produces 42 q. Its output-oriented technical efficiency is

  1. 0.7
  2. 1.429
  3. 0.3
  4. 18
Answer and working

A. 0.7

TE = observed/frontier = 42/60 = 0.7. 0.3 is the inefficiency (the proportion of potential output lost); the inverse 1.429 is the Farrell output-expansion measure (the factor by which output could be raised), not an efficiency score. 18 is the output lost in quintals, not a ratio.

Further reading: Coelli, Rao, O'Donnell and Battese, An Introduction to Efficiency and Productivity Analysis

6 · Technological change · medium

Hicks-neutral technical change is one that

  1. raises the marginal product of labour more than that of capital, so it is biased toward using more labour
  2. leaves output unchanged but lowers costs by making the fixed input cheaper to hire
  3. only affects the fixed input
  4. raises both marginal products in the same proportion, leaving the MRTS unchanged at a given input ratio
Answer and working

D. raises both marginal products in the same proportion, leaving the MRTS unchanged at a given input ratio

Hicks (1932) defined neutrality by an unchanged MRTS at a constant input ratio: isoquants move inward without changing shape. Raising MP of labour relatively more would be capital-saving (labour-using) change.

Further reading: Hicks, The Theory of Wages (1932)

7 · Technological change · medium

Tractors and combine harvesters are examples of technology that is mainly

  1. land-saving
  2. labour-saving
  3. neutral
  4. capital-saving
Answer and working

B. labour-saving

Mechanical technology raises output per worker and substitutes capital for labour, so it is labour-saving (capital-using). Improved seed and fertiliser are the classic land-saving (biological-chemical) technologies.

Further reading: Hayami and Ruttan, Agricultural Development

8 · Types of risk and enterprise combination under risk · medium

For a risk-averse decision maker, the certainty equivalent of a risky prospect is

  1. greater than its expected monetary value
  2. exactly equal to its expected monetary value
  3. always equal to the worst possible outcome
  4. less than its expected monetary value
Answer and working

D. less than its expected monetary value

A concave utility function means the sure sum giving the same utility is below the expected value; the gap is the risk premium. Equality holds only for risk neutrality.

Further reading: Hardaker, Lien, Anderson and Huirne, Coping with Risk in Agriculture

9 · Theory of the family farm · easy

In Chayanov's theory of the peasant family farm, the family applies its labour until

  1. marginal product of labour equals the market wage paid to hired agricultural workers
  2. the marginal drudgery of work equals the marginal utility of the extra consumption
  3. total output is maximum
  4. labour productivity is maximum
Answer and working

B. the marginal drudgery of work equals the marginal utility of the extra consumption

Chayanov's family does not pay itself a wage; it balances the disutility of extra work against the benefit of extra consumption. Setting MVP of labour to the wage is the capitalist (separable) rule.

Further reading: Chayanov, The Theory of Peasant Economy

10 · Theory of the family farm · medium

Schultz's argument in Transforming Traditional Agriculture (1964) is summarised as

  1. traditional farmers are inefficient and need better management training and extension visits
  2. peasants do not respond to prices
  3. traditional farmers are poor but efficient, so growth needs new technology, not reallocation
  4. surplus labour can be withdrawn at no cost
Answer and working

C. traditional farmers are poor but efficient, so growth needs new technology, not reallocation

Schultz held that farmers allocate traditional inputs efficiently, so gains must come from new, more productive inputs. The claim that farmers are price-unresponsive is what he rejected.

Further reading: Schultz, Transforming Traditional Agriculture (1964)

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Read the subject

Agricultural Production EconomicsThe full study manual, free ICAR AIEEA-PGFormat, sections and how it has changed

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