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OPRE FINAL EXAM QUESTIONS WITH ANSWERS 2025/2026 GRADED A+
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OPRE FINAL EXAM QUESTIONS WITH ANSWERS 2025/2026 GRADED A+ The optimal solution to the integer linear program will be an extreme point of the a. objective contour b. cutting plane c. convex hull d. slope - c. convex hull Corequisite constraint - A constraint requiring that two 0-1 variables ...

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  • February 23, 2025
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  • 2024/2025
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OPRE FINAL EXAM QUESTIONS WITH ANSWERS 2025/2026
GRADED A+
The optimal solution to the integer linear program will be an extreme point of the

a. objective contour
b. cutting plane
c. convex hull
d. slope - c. convex hull

Corequisite constraint - A constraint requiring that two 0-1 variables be equal. Thus,
they
are both in or out of solution together.

Feasible Region - Region that represents all permissible combinations of the decision
making model

feasible - A(n) ___________ solution satisfies all the constraint expressions
simultaneously.

The importance of _________ for integer linear programming problems is often
intensified by the fact that a small change in one of the coefficients in the constraints
can cause a relatively large change in the value of the optimal solution.
a. sensitivity analysis
b. objective function
c. optimization analysis
d. decision variables - a. sensitivity analysis

Which of the following decision variables would not require you to add an integer
constraint?

a. The number of full time and part time employees to hire for a new bank
b. The percent of an investment portfolio to be invested in bonds
c. The number of passengers to book on a flight from Cincinnati to Cancun
d. The number of units of product A and B to ship from Chicago to Cincinnati - b. The
percent of an investment portfolio to be invested in bonds

distribution system design problem - A mixed-integer linear program in which the binary
integer variables usually represent sites selected for warehouses or plants and
continuous
variables represent the amount shipped over arcs in the distribution network.

Parameter (Coefficient or given constraint) - Value that the decision maker cannot
control and that does not change when the solution is implemented

, a. Objective Cell values do not converge. - Which of the following error messages is
displayed in Excel Solver when attempting to solve an unbounded problem?

Certainty - Word that is used to describe that a fact is known without a doubt

a. sensitivity analysis - The importance of _________ for integer linear programming
problems is often intensified by the fact that a small change in one of the coefficients in
the constraints can cause a relatively large change in the value of the optimal solution.

Fixed cost problem - A 0-1 mixed-integer programming problem in which the binary
variables represent whether an activity, such as a production run, is undertaken
(variable 5 1) or
not (variable 5 0).

In the Bank Location problem, four of the twenty counties were on adjacent to
Pennsylvania. (Counties 1, 14, 15, 16.) If the bank president wanted to be sure that at
least one bank was located in one of these counties, what constraint would need to be
added to the model?

a. x1 + x14 + x15 + x16 > 1
b. x1 + x14 + x15 + x16 >= 1
c. x1 + x14 + x15 + x16 = 1
d. x1 + x14 + x15 + x16 <= 1 - b. x1 + x14 + x15 + x16 >= 1

The study of how changes in the input parameters of a linear programming problem
affect the optimal solution is known as
a. regression analysis.
b. optimality analysis.
c. model analysis.
d. sensitivity analysis. - d. sensitivity analysis.

The __________ value for each less-than-or-equal-to constraint indicates the difference
between the left-hand and right-hand values for a constraint.
a. slack
b. surplus
c. objective function coefficient
d. unbounded - a. slack

The sum of two or more binary variables must be less than or equal to one is a _____
constraint.

a. conditional
b. mutually exclusive
c. multiple-choice
d. corequisite - b. mutually exclusive

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