Given below are two statements, one labeled as Assertion (A) and the other as Reason (R).\n\n **Assertion (A):** Muzaffarpur and its adjoining districts in Bihar have a virtual monopoly in the production of the GI-tagged 'Shahi Litchi'.\n **Reason (R):** Bihar is the largest producer of litchi in India, accounting for over 70 percent of the country's total production.\n\n In the context of the above statements, which of the following is correct?

Options:

• A: Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
• B: Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
• C: Assertion (A) is true but Reason (R) is false.
• D: Assertion (A) is false but Reason (R) is true.

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?