## MMAT 540 Week 9 Quiz 5 Set 1

Quiz 5

Question 1

2 out of 2 points

 In a _______ integer model, some solution values for decision variables are integer and others can be non-integer.Answer Selected Answer:   mixedCorrect Answer:   mixed

Question 2

2 out of 2 points

 In a total integer model, some solution values for decision variables are integer and others can be non-integer. Answer Selected Answer:  FalseCorrect Answer:  False

Question 3

2 out of 2 points

 In a problem involving capital budgeting applications, the 0-1 variables designate the acceptance or rejection of the different projects. Answer Selected Answer:  TrueCorrect Answer:  True

Question 4

2 out of 2 points

 If a maximization linear programming problem consist of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ______ result in a(n)  _____ solution to the integer linear programming problem.Answer Selected Answer:   sometimes, optimalCorrect Answer:   sometimes, optimal

Question 5

2 out of 2 points

 The branch and bound method of solving linear integer programming problems is an enumeration method.  Answer Selected Answer:  TrueCorrect Answer:  True

Question 6

2 out of 2 points

 In a mixed integer model, all decision variables have integer solution values. Answer Selected Answer:  FalseCorrect Answer:  False

Question 7

2 out of 2 points

 For a maximization integer linear programming problem, feasible solution is ensured by rounding _______  non-integer solution values if all of the constraints are less-than -or equal- to type.Answer Selected Answer:   downCorrect Answer:   down

Question 8

2 out of 2 points

 In a total integer model, all decision variables have integer solution values. Answer Selected Answer:  TrueCorrect Answer:  True

Question 9

2 out of 2 points

 The 3 types of integer programming models are total, 0 – 1, and mixed. Answer Selected Answer:  TrueCorrect Answer:  True

Question 10

2 out of 2 points

 The branch and bound method of solving linear integer programming problems is  ________________.Answer Selected Answer:   an enumeration methodCorrect Answer:   an enumeration method

Question 11

2 out of 2 points

 The linear programming relaxation contains the  _______ and the original constraints of the integer programming problem, but drops all integer restrictions.Answer Selected Answer:   objective functionCorrect Answer:   objective function

Question 12

2 out of 2 points

 The branch and bound method can only be used for maximization integer programming problems. Answer Selected Answer:  FalseCorrect Answer:  False

Question 13

2 out of 2 points

 The solution value (Z)  to the linear programming relaxation of a minimization problem  will always be less than or equal to the optimal solution value (Z) of the integer programming minimization problem Answer Selected Answer:  TrueCorrect Answer:  True

Question 14

2 out of 2 points

 The implicit enumeration methodAnswer Selected Answer:   eliminates obviously infeasible solutions and evaluates the remaining solutions to determine which one is optimalCorrect Answer:   eliminates obviously infeasible solutions and evaluates the remaining solutions to determine which one is optimal

Question 15

2 out of 2 points

 Types of integer programming models are _____________.Answer Selected Answer:   all of the aboveCorrect Answer:   all of the above

Question 16

2 out of 2 points

 In a 0 – 1 integer model, the solution values of the decision variables are 0 or 1. Answer Selected Answer:  TrueCorrect Answer:  True

Question 17

2 out of 2 points

Question 18

2 out of 2 points

 In a mixed integer model, some solution values for decision variables are integer and others can be non-integer. Answer Selected Answer:  TrueCorrect Answer:  True

Question 19

2 out of 2 points

 Rounding small values of decision variables to the nearest integer value causes ______________ problems than rounding large values.Answer Selected Answer:   moreCorrect Answer:   more

Question 20

2 out of 2 points

 In using rounding of a linear programming model to obtain an integer solution, the solution isAnswer Selected Answer:   sometimes optimal and feasibleCorrect Answer:   sometimes optimal and feasible

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