Strayer Mat540 week 10 quiz

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Question 1

  1. If we are solving a 0-1 integer programming problem with three decision variables, the constraintx1 +x2 +x3 ? 3 is a mutually exclusive constraint.
2 points

Question 2

  1. Rounding non-integer solution values up to the nearest integer value will result in an infeasible solution to an integer linear programming problem.
2 points

Question 3

  1. The solution to the LP relaxation of a maximization integer linear program provides an upper bound for the value of the objective function.
2 points

Question 4

  1. If we are solving a 0-1 integer programming problem with three decision variables, the constraintx1 +x2 ? 1 is a mutually exclusive constraint.
2 points

Question 5

  1. If we are solving a 0-1 integer programming problem, the constraintx1 ?x2 is a conditional constraint.
2 points

Question 6

  1. A conditional constraint specifies the conditions under which variables are integers or real variables.
2 points

Question 7

  1. In a __________ integer model, some solution values for decision variables are integers and others can be non-integer.
2 points

Question 8

  1. Max Z = 5×1 + 6×2
    Subject to: 17×1 + 8×2 ? 136
    3×1 + 4×2 ? 36
    x1, x2 ? 0 and integer
    What is the optimal solution?
2 points

Question 9

  1. In a 0-1 integer programming model, if the constraint x1-x2 = 0, it means when project 1 is selected, project 2 __________ be selected.
2 points

Question 10

  1. Binary variables are
2 points

Question 11

  1. The Wiethoff Company has a contract to produce 10000 garden hoses for a customer. Wiethoff has 4 different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.

    Write the constraint that indicates they can purchase no more than 3 machines.
2 points

Question 12

  1. Assume that we are using 0-1 integer programming model to solve a capital budgeting problem and xj = 1 if project j is selected and xj = 0, otherwise.
    The constraint (x1 + x2 + x3 + x4 ? 2) means that __________ out of the 4 projects must be selected.
2 points

Question 13

  1. If we are solving a 0-1 integer programming problem, the constraintx1 +x2 ? 1 is a __________ constraint.
2 points

Question 14

  1. In a capital budgeting problem, if either project 1 or project 2 is selected, then project 5 cannot be selected. Which of the alternatives listed below correctly models this situation?
2 points

Question 15

  1. You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are:
    Restriction 1. Evaluating sites S1 andS3 will prevent you from exploring site S7.
    Restriction 2. Evaluating sites S2or
    S4 will prevent you from assessing site S5.
    Restriction 3. Of all the sites, at least 3 should be assessed.
    Assuming that Si is a binary variable, the constraint for the first restriction is
2 points

Question 16

  1. In a 0-1 integer programming model, if the constraint x1-x2 ? 0, it means when project 2 is selected, project 1 __________ be selected.
2 points

Question 17

  1. If we are solving a 0-1 integer programming problem, the constraintx1 ?x2 is a __________ constraint.
2 points

Question 18

  1. If we are solving a 0-1 integer programming problem, the constraintx1 =x2 is a __________ constraint.
2 points

Question 19

  1. Consider the following integer linear programming problem

    Max Z = 3x1 + 2x2
    Subject to: 3x1 + 5x2? 30
    4x1 + 2x2? 28
    x1? 8
    x1 , x2? 0 and integer
    Find the optimal solution.What is the value of the objective function at the optimal solution.Note: The answer will be an integer.Please give your answer as an integer without any decimal point.For example, 25.0 (twenty-five) would be written 25
2 points

Question 20

  1. Max Z = 3x1 + 5x2
    Subject to: 7x1 + 12x2 ? 136
    3x1 + 5x2 ? 36
    x1, x2 ? 0 and integer

    Find the optimal solution.What is the value of the objective function at the optimal solution.Note: The answer will be an integer.Please give your answer as an integer without any decimal point.For example, 25.0 (twenty-five) would be written 25

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