Assuming W1, W2, and W3 are 0-1 integer variables, we have a constraint W1 + W2 + W3 ≤ 2 in the model. Which of the following statements is correct?  minimum two variables can occur at the same time. Correct!  all variables can be 0 at the same time.   the variables are mutually exclusive.   none of the above.

Assuming W1, W2, and W3 are 0-1 integer variables, we have a constraint W1 + W2 + W3 ≤ 2 in the model. Which of the following statements is correct?Group of answer choicesminimum two variables can occur at the same time.all variables can be 0 at the same time.the variables are mutually exclusive.none of the above.

Assuming W1 and W2 are 0-1 integer variables indicating whether projects 1 and 2 are selected, respectively, the constraint W1 + W2 <= 1 means thatGroup of answer choicesthe projects are mutually exclusiveproject 1 is conditional on project 2project 2 is conditional on project 1none of the above.

Suppose we have the following LP model.Maximize Z = 10X + 5YSubject to:3X + 3Y ≤ 6 (Constraint 1)2X + 4Y ≥ 6 (Constraint 2)X, Y ≥ 0It came to be that the optimal solution is X = 1 and Y = 1. Which of the following options is a correct statement?Group of answer choicesConstraint 1 is a binding constraint, and constraint 2 is a non-binding constraint.Constraint 1 is a non-binding constraint, and constraint 2 is a binding constraint.Both constraints 1 and 2 are binding constraints.Both constraints 1 and 2 are non-binding constraints.

The following questions refer to a capital budgeting problem with six projects represented by 0-1 variables x1, x2, X3, X4, X5, and x6: (i) Write a constraint modeling a situation in which two of the projects 1, 3, 5, and 6 must be undertaken. (ii) Write a constraint modeling a situation in which, if projects 3 and 5 must be undertaken, they must be undertaken simultaneously. (iii) Write a constraint modeling a situation in which project 1 or 4 must be undertaken, but not both. (iv) Write constraints modeling a situation where project 4 cannot be undertaken unless projects 1 and 3 also are undertaken. (v) In addition to the requirement in part (iv), assume that when projects 1 and 3 are undertaken, project 4 also must be undertaken.

Nonnegativity constraints ensure that _____.Group of answer choicesthe solution to the problem will contain only nonnegative values for the decision variablesthere are no inequalities in the constraintsthe problem modeling includes only nonnegative values in the constraintsthe objective function of the problem always returns maximum quantities PreviousNext