OPRE 3360 EXAM 1 QUESTIONS AND CORRECT
ANSWERS (VERIFIED ANSWERS) PLUS RATIONALE
Q&A 2026 |INSTANT DOWNLOAD PDF
1. Which of the following is a primary goal of Operations
Research?
A. Increase social media presence
B. Optimize decision-making and resource allocation
C. Improve artistic creativity
D. Minimize the number of employees
Rationale: Operations Research focuses on using quantitative
methods to make the best decisions under constraints.
Answer: B
2. In linear programming, the objective function is:
A. Always nonlinear
B. A function to be maximized or minimized
C. Only used in probability calculations
D. Ignored during optimization
Rationale: The objective function represents the goal, such as
maximizing profit or minimizing cost.
Answer: B
,3. Which of the following is a constraint in a linear
programming model?
A. Decision variables
B. Equations or inequalities limiting resources
C. The objective function
D. Random variables
Rationale: Constraints restrict the values that decision variables
can take.
Answer: B
4. What is a feasible solution in linear programming?
A. Any solution that satisfies all constraints
B. Any solution regardless of constraints
C. The solution that maximizes profit only
D. A solution that ignores resource limits
Rationale: A feasible solution must satisfy all the model’s
constraints.
Answer: A
5. If a linear programming problem has two variables, the
graphical method:
A. Cannot be used
B. Can determine the optimal solution visually
,C. Always produces multiple optimal solutions
D. Is only for probability models
Rationale: Graphical methods are ideal for 2-variable LP
problems to identify feasible regions and optimum points.
Answer: B
6. What is the significance of the shadow price in linear
programming?
A. It is the cost of adding an extra unit of a resource
B. It is the total profit
C. It measures the risk in decision-making
D. It represents a random variable
Rationale: Shadow price shows the marginal value of a resource
in the objective function.
Answer: A
7. A linear programming model is said to be unbounded when:
A. There are no feasible solutions
B. The objective function can increase indefinitely without
violating constraints
C. There are too many constraints
D. The solution is non-integer
Rationale: Unboundedness occurs when optimization can
increase infinitely without constraint violation.
, Answer: B
8. Probability of an event occurring is always:
A. Greater than 1
B. Between 0 and 1
C. Negative
D. Unlimited
Rationale: By definition, probability ranges from 0 (impossible)
to 1 (certain).
Answer: B
9. The sum of probabilities for all possible outcomes in a
sample space equals:
A. 0
B. 0.5
C. 1
D. Depends on the number of events
Rationale: Total probability of all mutually exclusive outcomes
equals 1.
Answer: C
10. In decision-making under uncertainty, a pessimistic
approach assumes:
A. Best possible outcome will occur
ANSWERS (VERIFIED ANSWERS) PLUS RATIONALE
Q&A 2026 |INSTANT DOWNLOAD PDF
1. Which of the following is a primary goal of Operations
Research?
A. Increase social media presence
B. Optimize decision-making and resource allocation
C. Improve artistic creativity
D. Minimize the number of employees
Rationale: Operations Research focuses on using quantitative
methods to make the best decisions under constraints.
Answer: B
2. In linear programming, the objective function is:
A. Always nonlinear
B. A function to be maximized or minimized
C. Only used in probability calculations
D. Ignored during optimization
Rationale: The objective function represents the goal, such as
maximizing profit or minimizing cost.
Answer: B
,3. Which of the following is a constraint in a linear
programming model?
A. Decision variables
B. Equations or inequalities limiting resources
C. The objective function
D. Random variables
Rationale: Constraints restrict the values that decision variables
can take.
Answer: B
4. What is a feasible solution in linear programming?
A. Any solution that satisfies all constraints
B. Any solution regardless of constraints
C. The solution that maximizes profit only
D. A solution that ignores resource limits
Rationale: A feasible solution must satisfy all the model’s
constraints.
Answer: A
5. If a linear programming problem has two variables, the
graphical method:
A. Cannot be used
B. Can determine the optimal solution visually
,C. Always produces multiple optimal solutions
D. Is only for probability models
Rationale: Graphical methods are ideal for 2-variable LP
problems to identify feasible regions and optimum points.
Answer: B
6. What is the significance of the shadow price in linear
programming?
A. It is the cost of adding an extra unit of a resource
B. It is the total profit
C. It measures the risk in decision-making
D. It represents a random variable
Rationale: Shadow price shows the marginal value of a resource
in the objective function.
Answer: A
7. A linear programming model is said to be unbounded when:
A. There are no feasible solutions
B. The objective function can increase indefinitely without
violating constraints
C. There are too many constraints
D. The solution is non-integer
Rationale: Unboundedness occurs when optimization can
increase infinitely without constraint violation.
, Answer: B
8. Probability of an event occurring is always:
A. Greater than 1
B. Between 0 and 1
C. Negative
D. Unlimited
Rationale: By definition, probability ranges from 0 (impossible)
to 1 (certain).
Answer: B
9. The sum of probabilities for all possible outcomes in a
sample space equals:
A. 0
B. 0.5
C. 1
D. Depends on the number of events
Rationale: Total probability of all mutually exclusive outcomes
equals 1.
Answer: C
10. In decision-making under uncertainty, a pessimistic
approach assumes:
A. Best possible outcome will occur
