Consider the following statements regarding the soil and crop suitability of Bihar's agro-climatic zones:\n\n1. Zone I (North West Alluvial Plain) is highly suitable for sugarcane and wheat due to its fertile, medium-textured alluvial soil.\n2. Zone II (North East Alluvial Plain) is characterized by high rainfall and acidic soils, making it ideal for jute and maize.\n3. Zone III (South Bihar Alluvial Plain) is characterized by highly acidic soils that completely prevent the cultivation of pulses.\n\nWhich of the statements given above is/are correct?
Options:
- A: 2 and 3 only
- B: 1 and 3 only
- C: 1, 2 and 3
- 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?