Given below are two statements, one labelled as Assertion (A) and the other labelled as **Reason (R):** Assertion (A):** The Food Corporation of India (FCI) periodically conducts the Open Market Sale Scheme (OMSS) to sell wheat and rice in the open market through e-auctions. **Reason (R):** The primary objective of OMSS is to dispose of surplus foodgrain stocks during harvest seasons and maximize the commercial profits of the FCI. Select the correct answer using the code given below:

Options:

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