Given below are two statements: Statement (I): Institutional... | Agrigyan

Optimization techniques and duality of production and cost:

• Statement (I) is true: Both budgeting and linear programming evaluate resource allocation among competing enterprises, but LP is a mathematically rigorous mathematical optimization tool (simplex algorithm) that identifies the global optimum.
• Statement (II) is false: Since $\text{AVC} = \frac{P_x}{\text{APP}}$, Average Variable Cost reaches its minimum (not maximum) at the exact point where Average Physical Product (APP) reaches its maximum.
• Thus, Statement (I) is true but Statement (II) is false.

Cooperative farming classifications and agrarian history:

• Statement (I) is false: Pochampally (Telangana) was the birthplace of the Bhoodan Movement on 18 April 1951. The first village to come under Gramdan was Magroth in Hamirpur district, Uttar Pradesh in 1952.
• Statement (II) is true: In Cooperative Collective Farming, individual members surrender their land titles to the society; therefore, both ownership and day-to-day farm management/operations are entirely collective.
• Hence, Statement (I) is false but Statement (II) is true.

Typology of cooperative farming and farming systems:

• Cooperative better farming: Farmers retain individual ownership and cultivate lands individually, cooperating only for inputs and marketing - (II).
• Cooperative joint farming: Land ownership remains individual, but field operations are pooled and conducted collectively - (IV).
• Cooperative tenant farming: Land is owned collectively by the society and leased out to individual members for individual operation - (I).
• Specialized farming: A farm enterprise where $50\%$ or more of total gross farm income is derived from a single enterprise - (III).
  Matching: (A)-(II), (B)-(IV), (C)-(I), (D)-(III).

Classification of farm accounts and book-keeping records:

• Supplementary record: Special transaction logs such as an Auction register - (III).
• Financial record: Monetary payment records like the Wage register documenting cash disbursements - (I).
• Physical record: Quantitative non-monetary logs like Labour record (mandays/hours of work performed) - (IV).
• Giving account: Corresponds to the Credit side in double-entry bookkeeping (credit gives, debit receives) - (II).
  Matching: (A)-(III), (B)-(I), (C)-(IV), (D)-(II).