Consider the following statements regarding wind erosion and its control measures in western Rajasthan: 1. Wind erosion is most active in areas with less than 20 cm of annual rainfall and sparse vegetation. 2. Shelterbelts of Prosopis juliflora and Acacia tortilis have been successfully used to stabilize shifting sand dunes. 3. Mulching with organic waste is the primary method used to control wind-induced soil drift on active sand dunes. Which of the statements given above are correct?
Options:
- A: 1 and 3 only
- B: 2 and 3 only
- C: 3 only
- D: 1 and 2 only
Related Practice Questions:
- Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
- Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
- Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
- In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?