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The feasible region for a linear program is defined by these constraints: 2a - 1b less than or = 0; 1A + 1.5B greater than or equal to 200; A greater than or equal to 0; B greater than or equal to zero; 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?