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acceptors Activity Analysis adaptive research agricultural Arrow assumption avoided birth benefits birth rates capital choice Cjez coefficients commodity computational concave constraints consumer consumption convergence convex cost countries cultivated acre decentralized discussed efficient eigenstates Employment equations equilibrium exist extension personnel family planning family planning programme feasible firm gross income home technology important income per family increasing returns indifference curve infinite number input investment iterations labor linear programming lines of research Malinvand marginal productivity maximization migration number of births operator opportunity costs optimal optimum owner cultivator Philippines planning procedures population planning organizations problem production sets profit profit maximization programme outputs proposals Punjab quantity relate research line research resources resource allocation returns to scale sectors shadow prices share tenancy socialist economy solution statistical T. N. Srinivasan tatonnement techniques tenant and owner theory utility function variables Welfare economics West Pakistan X-efficiency