UPHESC Assistant Professor Agricultural Economics 2025 PYQs

Concept: Foster–Greer–Thorbecke family $P_{\alpha }$: α = 0 headcount (incidence), α = 1 poverty gap (depth), α = 2 squared poverty gap (severity).

1. Squaring the gap gives more weight to the poorest, so it captures severity and inequality among the poor.
2. HCR shows only how many are poor.
3. Gini and Kuznets ratio measure inequality of the whole distribution, not poverty.

Short trick: FGT: 0 = how many, 1 = how deep, 2 = how severe.

Concept: Harrod classifies technical change by what happens to K/O at a constant rate of interest.

1. Neutral: K/O unchanged.
2. Capital-using: K/O rises.
3. Capital-saving: K/O falls — less capital per unit of output.
4. Hicks's classification uses the marginal rate of substitution at a constant K/L, a different criterion.

Short trick: Capital-saving ⇒ less capital per unit output ⇒ K/O ↓.

Concept: Economic Survey 2021-22 (based on the First Advance Estimates of national income) put growth of agriculture & allied sectors in 2021-22 at 3.9%.

1. This followed 3.6% in 2020-21 — agriculture was the only sector to grow during the COVID year.
2. Later revisions of the national accounts changed the figure slightly, but 3.9% is the figure reported for 2021-22 in the Survey.

Short trick: 2020-21: 3.6%, 2021-22: 3.9% (Economic Survey 2021-22).

Concept: Structural unemployment arises when the skills (or location) of workers do not match the jobs available, often after changes in technology or the structure of the economy.

1. Frictional — short gap while moving between jobs (information/search).
2. Seasonal — off-season in agriculture, tourism, etc.
3. Cyclical — fall in aggregate demand during recession.

Short trick: Mismatch of skills = structural.

Concept: The Planning Commission (1988–89, Seventh Plan mid-term) divided India into 15 agro-climatic regions.

1. Based on soil, climate, rainfall, temperature and water resources.
2. Examples: Western Himalayan, Eastern Himalayan, Lower/Middle/Upper/Trans Gangetic Plains, … Islands region.
3. NARP (ICAR) further delineated 127 agro-climatic zones; NBSS&LUP gave 20 agro-ecological regions.

Short trick: Planning Commission 15, NBSS&LUP 20, NARP 127.

Concept: Total Economic Value = use value (direct, indirect, option) + non-use value (existence, bequest).

1. Non-use value is the value people place on a resource even though they never intend to use it, e.g. knowing that tigers or a coral reef exist.
2. Value for one's own future use (D) is option value — a part of use value.
3. Market value (B) captures only direct use.

Short trick: Non-use = existence + bequest; future own use = option value.

Concept: NAPCC (30 June 2008) has eight national missions.

1. Solar; Enhanced Energy Efficiency; Sustainable Habitat; Water; Sustaining the Himalayan Ecosystem; Green India; Sustainable Agriculture; Strategic Knowledge for Climate Change.
2. There is no ‘Air Pollution Mitigation’ mission (air quality is addressed separately, e.g. National Clean Air Programme, 2019).

Short trick: 8 missions: Solar, Energy-efficiency, Habitat, Water, Himalaya, Green India, Agriculture, Knowledge.

Concept: Indirect market valuation infers the value of a non-marketed service from a related market (surrogate or cost-based).

1. Travel cost — value of a recreation site from the costs visitors incur.
2. Hedonic pricing — environmental quality reflected in property prices/wages.
3. Replacement cost — cost of replacing the service with man-made means.
4. Factor income (production function) values a service by its contribution to the income from a marketed product, so it is treated as a direct market (production-based) method here.

Short trick: Travel cost, hedonic, replacement = surrogate/cost-based indirect methods; factor income = income from the marketed output.

Concept: Soil conservation covers checking erosion and restoring degraded land.

1. Contour bunding — mechanical measure that cuts slope length and runoff.
2. Catchment afforestation — biological measure against erosion and siltation.
3. Reclamation of alkaline/usar soils (gypsum, drainage) — restores productivity of degraded land.
4. All three are standard soil conservation programmes in India.

Short trick: Mechanical + biological + reclamation = all of the above.

Concept: Land price reflects both its income-earning capacity and market demand–supply conditions.

1. Productivity (fertility, irrigation) determines the rent/income — capitalised value.
2. Location (nearness to roads, markets, towns) adds value.
3. Demand — number of buyers in the area — raises the price for a fixed supply of land.

Short trick: Land price = capitalised rent + location + demand pressure.

Concept: $AFC=\frac{TFC}{Q}$ with TFC a positive constant.

1. As Q rises AFC keeps falling, but a positive number divided by a finite Q is never zero.
2. The AFC curve is a rectangular hyperbola — it approaches the X-axis asymptotically.
3. At Q = 0 AFC is undefined, not zero.

Short trick: AFC = rectangular hyperbola: falls forever, never touches zero.

Concept: The transcendental production function $Y=a{X}^b{e}^{cX}$ (Halter, Carter & Hocking, 1957) allows MP to rise, fall and become negative.

1. So it shows increasing, diminishing and negative returns — all three stages.
2. Linear: constant MP (no stages). Cobb-Douglas: one stage only (diminishing if b < 1).
3. Mitscherlich/Spillman: diminishing returns approaching a maximum, no negative stage.

Short trick: Transcendental = all three stages.

Concept: Agricultural input–output relations show diminishing marginal returns (biological law).

1. A linear function $Y=a+bX$ has a constant MP = b — no diminishing returns and no finite optimum.
2. Spillman, Cobb-Douglas (b < 1) and quadratic forms all show diminishing MP and allow an economic optimum.
3. Hence the linear form is unsuitable for agriculture.

Short trick: Linear = constant MP ⇒ unrealistic for crops.

Concept: Equi-marginal principle (opportunity cost principle): allocate a limited input so that its marginal value product is equal in every use.

1. $\frac{MV{P}_{X1}}{P_X}=\frac{MV{P}_{X2}}{P_X}$ — e.g. limited water or capital between wheat and mustard.
2. Variable proportions deals with one input–one output; comparative advantage with regional specialisation.
3. Fixed/variable cost principle guides short-run production decisions.

Short trick: Limited resource + many uses ⇒ equi-marginal returns.

Concept: Farrell (1957): overall economic (cost) efficiency is the product of its two components.

1. Technical efficiency — producing the maximum output from given inputs (being on the frontier).
2. Allocative efficiency — choosing the input mix that minimises cost at given prices.
3. $EE=TE\times AE$; e.g. TE = 0.8, AE = 0.9 ⇒ EE = 0.72.

Short trick: EE = TE × AE (all values between 0 and 1).

Concept: MP is the first derivative of the production function: $MP=\frac{dY}{dX}$.

1. Derivative of the constant 50 is 0.
2. $\frac{d}{dX}(5.93X^{0.5})=0.5\times 5.93X^{0.5-1}=2.965X^{-0.5}$.
3. MP falls as X rises — diminishing returns.

Short trick: Power rule: bring the power down, reduce it by one.

Concept: MP is the slope of TP.

1. MP rising ⇒ slope of TP increasing ⇒ TP increases at an increasing rate (convex part, before the inflexion point).
2. MP falling but positive ⇒ TP increases at a decreasing rate.
3. MP = 0 ⇒ TP maximum; MP < 0 ⇒ TP falls.

Short trick: MP ↑ ⇒ TP ↑ at increasing rate.

Concept: With one variable input X at price $P_X$: $AVC=\frac{P_{X}X}{Y}=\frac{P_X}{AP}$.

1. AVC is inversely related to AP.
2. So when AP is at its maximum, AVC is at its minimum.
3. Similarly $MC=\frac{P_X}{MP}$ — MP maximum ⇒ MC minimum.

Short trick: AVC = P/AP and MC = P/MP: cost curves are mirror images of product curves.

Concept: CES (Arrow, Chenery, Minhas, Solow, 1961): $Q=A[\delta K^{-\rho }+(1-\delta )L^{-\rho }{]}^{-v/\rho }$ with $\sigma =\frac{1}{1+\rho }$.

1. σ is constant along the function but can take any value from 0 to ∞ depending on ρ.
2. Special cases: σ = 1 Cobb-Douglas, σ = 0 Leontief (fixed proportions), σ = ∞ linear (perfect substitutes).
3. So in general it lies between zero and infinity.

Short trick: CES contains Leontief (0), Cobb-Douglas (1) and linear (∞) as special cases.

Concept: Lenders assess creditworthiness with the five Cs.

1. Character (honesty, willingness to repay), Capacity (repayment ability), Capital (owner's stake), Collateral (security), Conditions (purpose, economic conditions).
2. Commonsense is not one of them.
3. Farm credit also uses the 3 Rs: Returns, Repayment capacity, Risk-bearing ability.

Short trick: 5 Cs: Character, Capacity, Capital, Collateral, Conditions.