Microeconomics

Profit function .Simplify: Differentiate and equate to zero to find critical points. Solve for .Maximum profit occurs at .

Economies of scale occur when increasing the level of production leads to lower per-unit costs. This happens due to factors like bulk purchasing, better utilization of fixed costs, and operational efficiencies.

Price elasticity of demand is determined by:
- The availability of close substitutes (A)
- Whether the good is a necessity or luxury (B)
- Definition of the market (C)
- Time Horizon (D)

Step 1: Perfect competition features: Homogeneous product, free entry/exit, price taker (not maker), large buyers & sellers.

Step 2: Identify correct options: B and D.

Step 1: Properties of indifference curves: Downward sloping, convex to origin, and do not intersect.

Step 2: Conclude: Option 2 is incorrect as ICs never intersect.

Step 1: Recall economic terms.
- Free Rider → Consumes a good/service without paying for it
- Debtor → Owes money
- Willful Defaulter → Deliberately avoids payment of dues
- Ungrateful Beneficiary → Not an economic term