The feasible region for a linear program is identified by these constraints:2A - 1B 0; -1A + 1.5B 200; A 0; B 0. An optimizing student in the management science class is interested in finding the best feasible solution under TWO different objectives: Objective 1 maximizes 4A + B; Objective 2 minimizes A + B. Which of the following statements is true about this linear program?

A) (100,0) is a feasible point for the LP.

b) (100, 200) maximizes objective 1 and (0, 0) minimizes objective 2.

C) The LP has 5 corner points.

D) (0, 133.33) maximizes objective 1 and the same corner point also minimizes objective 2.