Question: The feasible region for a linear program is defined by these three constraints: 5A + 5B 400; -1A + 1B 10; 1A + 3B 90;

The feasible region for a linear program is defined by these three constraints: 5A + 5B 400; -1A + 1B 10; 1A + 3B 90; A 0; B 0. In this feasible region, the objective function (A B) is maximized. Which of the following statements is true?

Group of answer choices

The feasible region has 4 corner points all of which are equally good for this objective function.

(35, 45) is the best corner point for (A-B)

(15, 25) is the best corner point for this objective .

The optimal objective value is 70.

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