With reference to the early English commercial attempts in Patna, consider the following statements: 1. The first English attempt to establish trade in Patna was made in 1620 under Robert Hughes and John Parker. 2. The English successfully established a permanent, continuous factory in Patna in 1651. 3. Job Charnock served as the chief of the English factory at Patna from 1664 to 1680. Which of the statements given above are correct?
Options:
- A: 1 and 2 only
- B: 2 and 3 only
- C: 1, 2 and 3
- D: 1 and 3 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?