Exam 2 QMB
What is the optimal solution for the following problem? Maximize P = 4x + 12y subject to 3x + 5y ≤ 12 6x + 2y ≤ 10 and x ≥ 0, y ≥ 0.
(x,y)=(0,2.4)
Given the following 2 constraints, which solution is a feasible solution for a minimization problem? (1) 10x1 + 5x2 ≥ 50 (2) x1 + 2x2 ≥ 12
(x1, x2) = (3, 5)
The key identifying feature of a fixed-requirements problem is which of the following? Constraints with the form "Amount of resource used ≥ Amount of resource available". Constraints with the form "Amount of resource used ≤ Amount of resource available". Constraints with the form "Level achieved ≥ Minimum acceptable level". All constraints have the form "Amount provided = Required amount".
All constraints have the form "Amount provided = Required amount".
Editing's purpose is to ensure which of the following? That all data are entered according to the mapping rules for each variable The data entry gaps are filled That data is validated That missing data is addressed
All of these
The key identifying feature of a mixed problem is which of the following? I. Constraints with the form "Amount of resource used ≥ Amount of resource available". II. Constraints with the form "Amount of resource used ≤ Amount of resource available". III. Constraints with the form "Level achieved ≥ Minimum acceptable level". IV. All constraints have the form "Amount provided = Required amount".
At least two of II, III, and IV
Which of the following statements about what-if analysis is TRUE?
Changes in an objective function coefficient will always lead to changes in decision variable values. Changes to constraint right-hand side values will always lead to changes in decision variable values. Changes in an objective function coefficient will never lead to changes in decision variable values. Changes to constraint right-hand side values will never lead to changes in decision variable values. None of these
The key identifying feature of a resource-allocation problem is which of the following? Constraints with the form "Amount of resource used ≥ Amount of resource available". Constraints with the form "Amount of resource used ≤ Amount of resource available". Constraints with the form "Level achieved ≥ Minimum acceptable level". All constraints have the form "Amount provided = Required amount".
Constraints with the form "Level achieved ≥ Minimum acceptable level".
In a linear programming problem, the changing cells do which of the following?
Contains the decisions made about levels of activity.
In a linear programming problem, the output cells do which of the following?
Ensures that usage of resources does not exceed available supply.
Transportation problems can be classified as which type of linear programming problem? Resource-allocation problems. Cost-benefit-tradeoff problems. Fixed-requirement problems.
Fixed requirement problem
Assignment problems can be classified as which type of linear programming problem? Resource-allocation problems. Cost-benefit-tradeoff problems. Fixed-requirement problems.
Fixed requirement problems
To determine if an increase in an objective function coefficient will lead to a change in final values for decision variables, an analyst can do which of the following? I. Compare the increase in the objective function coefficient to the allowable decrease. II. Compare the increase in the objective function coefficient to the allowable increase. III. Rerun the optimization to see if the final values change
II and III only
The key identifying feature of a resource-allocation problem is which of the following? I. Constraints with the form "Amount of resource used ≥ Amount of resource available". II. Constraints with the form "Amount of resource used ≤ Amount of resource available". III. Constraints with the form "Level achieved ≥ Minimum acceptable level". IV. All constraints have the form "Amount provided = Required amount".
II only
The measurement instrument contains a multi-item grid, requesting a rating of each of 10 items on a 5-point strongly agree-strongly disagree scale. This measurement question has a higher incidence of missing data than any other question on the instrument. This question is an example of what type of missing data?
MCAR
In a linear programming problem, the objective cell does which of the following?
Measures the performance of candidate solution.
A measurement instrument contains a question about personal use of opioids. Missing data is higher for this question than for other questions in the instrument. This is an example of what type of missing data?
NMAR
For a problem with two decision variables, which of the following statements about what-if analysis is TRUE? I. What-if analysis can be done graphically. II. Solver will generate reports to assist with what-if analysis. III. Shadow prices will not be valid with only two decision variables.
Only I and II are true
In a linear programming problem, the data cells do which of the following?
Provides important information about the availability of resource.
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate.
TRUE
Which of the following statements about feasible solutions to a linear programming problem is TRUE? There will be at most one feasible solution to any linear programming problem. All linear programming problems have at least one feasible solution. A feasible solution will also be an optimal solution. The optimal solution will also be a feasible solution. Correct All of the answer choices are true.
The optimal solution will also be a feasible solution.
Which of the following statements about feasible solutions to a linear programming problem is FALSE? There will always be at least one feasible solution to any linear programming problem. Some linear programming problems have no feasible solution. A feasible solution does not violate any of the problem constraints. The optimal solution will also be a feasible solution. All of the answer choices are false.
There will always be at least one feasible solution to any linear programming problem.
A shadow price indicates how much the optimal value of the objective function will increase per unit increase in the right-hand side of a constraint.
True
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C = 14x + 7y subject to 8x + 12y ≥ 19 17x + 24y ≥ 43 and x ≥ 0, y ≥ 0. a. optimal value of x b. optimal value of y c. minimum value of the objective function
a. 0.000 b. 1.792 c. 12.542
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Maximize C = 12x + 4y subject to 11x + 13y ≤ 20 14x + 18y ≤ 34 and x ≥ 0, y ≥ 0. a. optimal value of x b. optimal value of y c. maximum value of the objective function
a. 1.818 b. 0.000 c. 21.818
____ contains each variable in the study and specifies the application of mapping rules to the response codes of each variable.
coding scheme
Which of the following components of a linear programming model sets limits on the set of potential solutions?
constraints
_____ involves a systematic, objective approach to code message characteristics so a researcher can treat diverse textual or verbal content quantitatively.
content analysis
The process for verifying that variables have used the designated coding scheme and that all data collected is entered correctly is called ____.
data editing
What process converts data gathered by secondary or primary methods into data for examination?
data entry
Which of the following components of a linear programming model represents the level of each activity?
decision variables
In robust optimization, a constraint that cannot be violated is known as a
hard constraint
Which of the following components of a linear programming model is the overall performance measure?
objective
Because individuals have busy lives, even those who have committed to participation in a survey may need _____.
participant reminder(s)
When data editing replaces the missing data for a MAR variable in a data record with the response from that participant on another variable, the editing strategy is _____.
predictive replacement
If we study content that includes assertions or claims about an object, we are interested in what type of recording units?
propositional
Which of the following recording units looks for the way objects are described in words or phrases?
referential
Which of the following represents the marginal gain in the objective value that would occur if one more unit of a resource were added?
shadow price
A parameter in a linear programming problem is said to be "sensitive" when
small changes in the parameter lead to changes in the optimal solution.
The decision that indicates the researcher has addressed all known measurement instrument problems is _____.
survey activation
Which of the following recording units study author-defined paragraphs?
syntactical
Training of survey interviewers includes all of the following EXCEPT _____. learning instrument pitfalls following skip directions selecting participants using body language to provide emphasis Correct correctly disposing of the completed instrument
using body language to provide emphasis
The process of determining the effect of changing objective function coefficients, right-hand side values of constraints, and decision variable values on a linear program is known as
what-if analysis
The objective of your study is to determine what makes print advertising of men's personal care products effective. A sampling unit for content analysis would be _____.
word in the ads
Find the values of x1 and x2 where the following two constraints intersect. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (1) 8x1 + 4x2 ≥ 73 (2) 4x1 + 1x2 ≥ 20
x1 .875 x2 16.500
Find the values of x1 and x2 where the following two constraints intersect. (Round your answers to 3 decimal places.) (1) 10x1 + 5x2 ≥ 50 (2) 1x1 + 2x2 ≥ 12
x1 2.668 x2 4.666
