Step 1: Statement of the Law The law of diminishing marginal utility, proposed by economists like Alfred Marshall, posits that the marginal utility (additional satisfaction) from consuming additional units of a commodity decreases as the quantity consumed increases, ceteris paribus (other things being equal).
Step 2: Explanation with Example
- Marginal utility is the change in total utility from consuming one more unit. For instance, if a person eats one apple, they get high satisfaction (e.g., 10 units). The second apple gives less (e.g., 8 units), the third even less (e.g., 6 units), and so on, until it may become zero or negative.
- This occurs because needs are satisfied progressively, and the intensity of want decreases.
Step 3: Assumptions and Exceptions
- Assumptions: The consumer's tastes remain constant, units are identical and consumed successively without time gaps, and the good is homogeneous.
- Exceptions: Applies less to rare collections (e.g., stamps), addictions, or money (as more money can increase utility indefinitely in some views).
- Importance: Explains downward-sloping demand curves, consumer surplus, and progressive taxation.
Match List-I with List-II
| List-I (Term) | List-II (Definition) |
|---|---|
| (A) Oligopoly | (IV) A market consisting of more than one (but few) sellers |
| (B) Marginal Cost | (III) Change in total cost per unit of change in output |
| (C) Duopoly | (II) A market with just two firms |
| (D) Cost function | (I) For every level of output, it shows the minimum cost for the firm |
Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) Theory of Big Push | (III) Rosenstein Rodan |
| (B) Theory of Unbalanced Growth | (II) Albert Hirschman |
| (C) Division of Labour | (I) Adam Smith |
| (D) Reserve Army of Labour | (IV) Karl Marx |
$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.