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.

The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem Xi is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the model for this problem is that either project 2 or project 5 must be selected but not both of them. This condition is represented by the following constraint:Group of answer choices𝑥2+𝑥5=1

In a BIP problem, 1 corresponds to a yes decision and 0 to a no decision. If there are twoprojects under consideration, A and B, and either both projects will be undertaken or noproject will be undertaken, then the following constraint needs to be added to theformulation:A) A ≤ B.B) A + B ≤ 2.C) A ≥ B.D) A = B.E) None of the choices is correct.

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.

This is a modification of homework problem 14 in chapter 5.The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem Xi is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the modified model is that the same decision be applied to project 2 and project 5. If project 2 is selected then project 5 is selected. And if project 2 is not selected then project 5 is not selected. So, modify the constraint on decision variables x2 and x5 to represent this updated condition. Leave the other constraints (budget and personnel) the same. Then answer the following question.Which projects are selected?Group of answer choicesProject 1Project 2Project 3Project 4Project 5Project 6Project 7Project 8

Let x1, x2, x3 and x4 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 no more than three of the projects must be done?Group of answer choicesx1 + x2 + x3 + x4  ≤ 2x1 + x1 + x3 + x4  ≤ 3x1 + x2 + x3 + x4  ≤ 4x1 + x2 + x3 + x4  ≤ 3