The maximum number of basic feasible solutions for the system of linear equations AX = b, where A is an m × n matrix, b is an m × 1 column matrix, and the rank of A, ρ(A) = m, is given by:

Consider the linear programming problem: Maximize 3x1 + 4x2 subject to: 3x1 + 2x2 ≤ 12, 3x1 + 5x2 ≤ 15, 2x1 - x2 ≥ 0, x2 ≤ 2, and x1, x2 ≥ 0. Which of the following values is the optimal value of the objective function in the feasible region?

Consider the following Linear Programming Problem (LPP): Maximize: Z = 4x + 2y Subject to: 2x + y ≤ 8 x + y ≤ 5 x ≥ 0, y ≥ 0 Which of the following statements is true regarding this problem?