Six Acres, Two Uses: The Panchayat's Land Decision
A gram panchayat in Hassan district owns 8 acres of flat land beside the highway. Two proposals are on the table for the 6 acres still unused. The mandi merchants' association wants a regulated market yard, which would pay the panchayat about ₹6 lakh per acre per year in rent. The school development committee wants a playground; it earns nothing but would save 400 children a daily 3 km walk. Officials note that the first two acres given to the market yard would be the rocky strip nobody else wants, but the sixth acre is the only level, well-drained patch on which a playground can be built. At the same meeting a member says, 'No land should go to the market yard; the children's health matters more than rent,' while another reads out that the panchayat's rent income has fallen from ₹40 lakh to ₹31 lakh this year. The panchayat must record its decision and its reasoning.
1. Explain the shape of the panchayat's production possibility curve between 'acres under the market yard' and 'acres kept as playground', and state the opportunity cost of the full 6-acre market yard.
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The acres are not equally suited to the two uses: the first acres are rocky, the sixth is the only level patch. So each additional acre taken for the market yard sacrifices a better and better playground site - marginal opportunity cost rises, and the PPC is concave (bowed out) to the origin, not a straight line.
Opportunity cost of the 6-acre market yard = ₹36 lakh of rent forgone (6 × ₹6 lakh) plus the playground that can then no longer be built, since no other land is suitable. In playground terms, the first two acres cost almost nothing; the fifth and sixth acres cost the entire playground.
A straight-line PPC would be correct only if every acre were equally productive in both uses - the description explicitly denies this. This is also why the panel cannot simply 'take the average rent per acre' as the cost of the last acre.
2. Classify the two quoted statements as positive or normative, and explain which of the questions raised is microeconomic and which would be macroeconomic.
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'Rent income has fallen from ₹40 lakh to ₹31 lakh' is a positive statement: it is a factual claim that can be checked against the panchayat's accounts and is either true or false.
'No land should go to the market yard; children's health matters more than rent' is normative: the word 'should' and the ranking of health above rent are value judgements. Data cannot prove or disprove it; at best data can show how many children benefit.
Allocating 6 acres is a microeconomic question - one decision-making unit (the panchayat) choosing among alternatives under scarcity, with a price (rent) attached to each option. A macroeconomic question would be, for example, how the total output, employment or income of Hassan district changes if every panchayat builds a market yard - aggregate magnitudes rather than one unit's choice.
3. A state grant builds a second all-weather road to the town, raising the rent the market yard can earn to ₹9 lakh per acre. Does this shift, rotate or merely move along the PPC, and what happens to the opportunity cost of the playground?
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Only the market-yard use has become more productive; the playground's yield is unchanged. So the maximum market-yard intercept rises (6 × ₹9 lakh = ₹54 lakh) while the playground intercept stays where it was: the PPC rotates outward on the market-yard axis, it does not shift out parallel, and it is not a movement along the curve. A parallel shift would require both uses to become more productive at once (for example, better drainage plus higher rents).
The rotated curve is steeper, which is the graphical statement that the opportunity cost of the playground has risen - each acre kept for children now forgoes ₹9 lakh instead of ₹6 lakh.
The economics of the decision therefore changes even though the children are no better off: the grant makes the playground look costlier, so a panchayat that still chooses it is revealing a stronger preference for it, not making an arithmetic error.