Question: 1. True or False (10 points, 2 points each question) Please write in the line T if the statement is true, or F if the

1. True or False (10 points, 2 points each

1. True or False (10 points, 2 points each question) Please write in the line T if the statement is true, or F if the statement is false. a) An optimal solution is a solution that attains the best possible objective function value among all feasible solutions. b) f(x1, x2) = x1x2 + 2xy is a linear function. c) A constraint is binding if the left-hand side and right-hand side of the constraint are equal when the optimal values of the variables are plugged in the constraint. d) The set in Figure 1 (below) is convex. o Figure 1. The set under study is represented by the gray area. e) For a maximization problem, the optimal objective value for an integer programming problem is greater than or equal to the optimal objective value of its LP (linear programming) relaxation

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