# Integer Programming

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• Published : March 27, 2013

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Introduction to Management Science, 10e (Taylor)
Chapter 5 Integer Programming

1) The 3 types of integer programming models are total, 0 - 1, and mixed. Answer: TRUE
Diff: 1Page Ref: 182
Key words: integer programming models

2) In a total integer model, all decision variables have integer solution values. Answer: TRUE
Diff: 1Page Ref: 182
Key words: integer programming models

3) In a 0 - 1 integer model, the solution values of the decision variables are 0 or 1. Answer: TRUE
Diff: 1Page Ref: 182
Key words: integer programming models

4) In a mixed integer model, some solution values for decision variables are integer and others can be non-integer. Answer: TRUE
Diff: 1Page Ref: 183
Key words: integer programming models

5) In a mixed integer model, all decision variables have integer solution values. Answer: FALSE
Diff: 2Page Ref: 184
Key words: integer programming models

6) In a mixed integer model, the solution values of the decision variables are 0 or 1. Answer: FALSE
Diff: 2Page Ref: 184
Key words: integer programming models

7) The branch and bound method can only be used for maximization integer programming problems. Answer: FALSE
Diff: 1Page Ref: 187
Key words: integer programming models, branch and bound

8) The branch and bound solution method cannot be applied only to 0-1 integer programming problems. Answer: FALSE
Diff: 2Page Ref: 187
Key words: integer programming models, branch and bound method

9) In a problem involving capital budgeting applications, the 0-1 variables designate the acceptance or rejection of the different projects. Answer: TRUE
Diff: 2Page Ref: 196
Key words: capital budgeting, 0-1 variables

10) In a 0-1 integer programming problem involving a capital budgeting application (where xj = 1, if project j is selected, xj = 0, otherwise) the constraint x1 - x2 ≤ 0 implies that if project 2 is selected, project 1 can not be selected. Answer: FALSE

Diff: 2Page Ref: 196
Key words: capital budgeting, 0-1 variables

11) The divisibility assumption is violated by integer programming. Answer: TRUE
Diff: 1Page Ref: 182
Key words: integer linear programming models, multiple choice constraint

12) One type of constraint in an integer program is a multiple choice constraint. Answer: TRUE
Diff: 1Page Ref: 184
Key words: integer linear programming models, multiple choice constraint

13) If exactly 3 projects are to be selected from a set of 5 projects, this would be written as 3 separate constraints in an integer program. Answer: FALSE
Diff: 2Page Ref: 184
Key words: integer linear programming models, multiple choice constraint

14) A conditional constraint specifies the conditions under which variables are integers or real variables. Answer: FALSE
Diff: 1Page Ref: 184