# Math540 Wk10 Quiz 5 Essay

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Math540 Wk10 Quiz 5
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Quiz 5
Question 1
2 out of 2 points In a mixed integer model, some solution values for decision variables are integer and others are only 0 or 1. Answer Question 2
2 out of 2 points If we are solving a 0-1 integer programming problem, the constraint x1 ≤ x2 is a conditional constraint. Answer Question 3
2 out of 2 points 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 Question 4
2 out of 2 points A conditional constraint specifies the conditions under which variables are integers or real variables. Answer 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 Question 6
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 Question 7
2 out of 2 points If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a __________ constraint.
Answer
Question 8
2 out of 2 points In a __________ integer model, some solution values for decision variables are integers and others can be non-integer.
Answer
Question 9
2 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 __________