Question 11  ​The three assumptions necessary for a linear programming model to be appropriate include all of the following except

Question 11
​The three assumptions necessary for a linear programming model to be appropriate include all of the following except
Question 11 options:

​proportionality

​additivity

​divisibility

​normality
Question 12
To find the optimal solution to a linear programming problem using the graphical method
Question 12 options:

find the feasible point that is the farthest away from the origin.

find the feasible point that is at the highest location.

find the feasible point that is closest to the origin.

None of the alternatives is correct.
Question 13
Which of the following special cases does not require reformulation of the problem in order to obtain a solution?
Question 13 options:

alternate optimality

infeasibility

unboundedness

each case requires a reformulation.
Question 14
​A redundant constraint results in
Question 14 options:

​no change in the optimal solution(s)

​an unbounded solution

​no feasible solution

​alternative optimal solutions
Question 15
All linear programming problems have all of the following properties EXCEPT
Question 15 options:

a linear objective function that is to be maximized or minimized.

a set of linear constraints.

alternative optimal solutions.

variables that are all restricted to nonnegative values.
Question 16
George Dantzig is important in the history of management science because he developed
Question 16 options:

the scientific management revolution.

powerful digital computers.

World War II operations research teams.

the simplex method for linear programming.
Question 17
Problem definition
Question 17 options:

must involve the analyst and the user of the results.

includes specific objectives and operating constraints.

must occur prior to the quantitative analysis process.

each of these choices are true.
Question 18
The quantitative analysis approach requires
Question 18 options:

mathematical expressions for the relationships.

the manager’s prior experience with a similar problem.

a relatively uncomplicated problem.
Question 19
When the value of the output cannot be determined even if the value of the controllable input is known, the model is
Question 19 options:

deterministic.

analog.

stochastic.

digital.
Question 20
Inputs to a quantitative model
Question 20 options:

must all be deterministic if the problem is to have a solution.

are uncertain for a stochastic model.

are a trivial part of the problem solving process.

are uncontrollable for the decision variables.