Mat 540 Quiz 5

Topics: Linear programming, Optimization, Operations research Pages: 6 (1011 words) Published: August 27, 2013
Attempt Score 34 out of 40 points

Question 1
2 out of 2 points

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
Selected Answer: False
Correct Answer: False

. Question 2
2 out of 2 points

Rounding non-integer solution values up to the nearest integer value will result in an infeasible solution to an integer linear programming problem.
Answer
Selected Answer: False
Correct Answer: False

. Question 3
2 out of 2 points

If we are solving a 0-1 integer programming problem, the constraint x1 ≤ x2 is a conditional constraint.
Answer
Selected Answer: True
Correct Answer: True

. Question 4 .2 out of 2 points

If we are solving a 0-1 integer programming problem with three decision variables, the constraint x1 + x2 + x3 ≤ 3 is a mutually exclusive constraint.
Answer
Selected Answer: False
Correct Answer: False

. Question 5 .2 out of 2 points

The solution to the LP relaxation of a maximization integer linear program provides an upper bound for the value of the objective function.
Answer
Selected Answer: True
Correct Answer: True

. Question 6 .2 out of 2 points

A conditional constraint specifies the conditions under which variables are integers or real variables.
Answer
Selected Answer: False
Correct Answer: False

. Question 7 .2 out of 2 points

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

. Question 8 .2 out of 2 points

The solution to the linear programming relaxation of a minimization problem will always be __________ the value of the integer programming minimization problem. Answer
Selected Answer: less than or equal to
Correct Answer: less than or equal to

. Question 9 .0 out of 2 points

If we are solving a 0-1 integer programming problem, the constraint x1 + x2 ≤ 1 is a __________ constraint. Answer
Selected Answer: corequisite
Correct Answer: mutually exclusive

. Question 10 .0 out of 2 points

If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a __________ constraint. Answer
Selected Answer: conditional
Correct Answer: corequisite

. Question 11 .0 out of 2 points

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. Answer

Selected Answer: exactly 2
Correct Answer: at most 2

. Question 12 .2 out of 2 points

In a 0-1 integer programming model, if the constraint x1-x2 ≤ 0, it means when project 2 is selected, project 1 __________ be selected. Answer
Selected Answer: can sometimes
Correct Answer: can sometimes

. Question 13 .2 out of 2 points

Binary variables are
Answer
Selected Answer: 0 or 1 only
Correct Answer: 0 or 1 only

. Question 14 .2 out of 2 points

If we are solving a 0-1 integer programming problem, the constraint x1 ≤ x2 is a __________ constraint. Answer
Selected Answer: conditional
Correct Answer: conditional

. Question 15 .2 out of 2 points

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 and S3 will prevent you from exploring site S7. Restriction 2. Evaluating sites S2 or

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, write the constraint(s) for the second restriction...
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