UPHESC Assistant Professor Agricultural Economics 2025 PYQs

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.

Concept: Farm liabilities by repayment period: short-term (≤ 1–1.5 years), intermediate/medium (1.5–5 years), long-term (> 5 years).

1. Crop loan — short-term, repaid after harvest.
2. Livestock (dairy animals, bullocks), machinery, pumpsets — intermediate loans.
3. Orchard establishment and land development (levelling, wells) — long-term.

Short trick: Season ⇒ short, animals/machines ⇒ medium, land/orchard ⇒ long.

Concept: In farm financial analysis the current liability ratio compares short-term debt with the farmer's own funds.

1. Current liability ratio = current liabilities ÷ owner's equity (net worth).
2. (A) is the current ratio (liquidity); (C) is the debt ratio (inverse of the net capital ratio).
3. A high value shows heavy dependence on short-term credit.

Short trick: Current ratio = CA/CL; current liability ratio = CL/owner's equity.

Concept: PERT (Program Evaluation and Review Technique) was developed in 1958 by the US Navy Special Projects Office with Booz Allen Hamilton and Lockheed for the Polaris missile programme.

1. It uses three time estimates: $t_e=\frac{t_o+4t_m+t_p}{6}$.
2. CPM was developed in 1957 by DuPont and Remington Rand — don't mix the two dates.

Short trick: CPM 1957 (DuPont), PERT 1958 (Polaris).

Concept: Evaluation timing: ex-ante (before, appraisal), concurrent/mid-course (during, monitoring), ex-post (after completion).

1. Overall impact (outcomes on income, production, welfare) can be judged only after the project is completed and its effects have appeared.
2. Hence ex-post (impact) evaluation.

Short trick: Ex-ante = will it work? Ex-post = did it work?

Concept: Undiscounted measures ignore the time value of money; discounted measures use present values.

1. Undiscounted: payback period, accounting rate of return, ranking by inspection.
2. Discounted: NPW (NPV), BCR, IRR, (discounted payback).
3. So the payback period is the undiscounted method.

Short trick: Payback = years to recover cost, no discounting.

Concept: The Differential Rate of Interest (DRI/DIR) scheme, 1972, gives bank loans to the weakest sections at a concessional rate.

1. Interest rate: 4% per annum.
2. Beneficiaries: small/marginal farmers, landless labourers, artisans and others below a low income limit.
3. Banks had to lend at least 1% of total advances under DRI.

Short trick: DRI 1972 → 4% interest, 1% of advances.

Concept: Marketable surplus = production − (family consumption, seed, feed, wages in kind, wastage); marketed surplus = quantity actually sold.

1. For storable produce the two differ: the farmer may hold stock, sell in distress or buy back.
2. Highly perishable products like milk cannot be stored on the farm, so whatever is surplus is sold at once.
3. Hence marketable surplus = marketed surplus for milk (perishables).

Short trick: Perishable ⇒ no holding ⇒ MS = marketed surplus.

Concept: Hedging is taking an equal and opposite position in the futures market to offset price risk in the physical (spot) market.

1. A trader holding stock sells futures; if prices fall, the gain on futures offsets the loss on stock.
2. Futures trading is only the market/instrument; speculation means deliberately taking on price risk for profit.
3. So the protective technique is hedging.

Short trick: Hedger transfers risk; speculator accepts it.

Concept: Nature of product distinguishes market forms.

1. Perfect competition — homogeneous product (4).
2. Monopolistic competition — differentiated product (1).
3. Oligopoly — homogeneous (pure oligopoly, e.g. steel) or differentiated (e.g. cars) (3).
4. Monopoly — unique product with no close substitute (2). Code 4, 1, 3, 2 = (B).

Short trick: Perfect–same, Monopolistic–different, Oligopoly–either, Monopoly–unique.

Concept: The 2020 amendment allowed stock limits on cereals, pulses, oilseeds, edible oils, onion and potato only on a steep price rise.

1. Trigger: 100% rise in retail price of horticultural produce, or 50% rise for non-perishable agricultural foodstuffs.
2. The rise is measured over the price prevailing immediately preceding twelve months or the average retail price of the last five years, whichever is lower.
3. (The farm laws of 2020 were later repealed in 2021.)

Short trick: Base = lower of (12-month price, 5-year average retail price).