Question: Let x 1 , x 2 , and x 3 be 0-1 variables whose values indicate whether the projects are not done (0) or are

Let x1, x2, and x3 be 0-1 variables whose values indicate whether the projects are not done (0) or are done (1). Which of the following answers indicates that at least one of the projects must be done?

x1 + x2 + x3 1

x1 + x2 + x3 > 1

x1 + x2 + x3 0

x1 + x2 + x3 = 1

x1 + x2 + x3 2

Max 5X + 6Y s.t. 17X + 8Y 136 3X + 4Y 36 X, Y 0 and integer What is the optimal solution to the above LP problem?

X = 4, Y = 6, Objective = 56

X = 5.818, Y = 4.636, Objective = 56.909

X = 7, Y = 4, Objective = 59

X = 6, Y = 4, Objective = 54

X = 5, Y = 4, Objective = 49

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