Math 451 Unit 3 Sensitivity for Minimization Interactive Example
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Colorado Technical University *
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451
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Mathematics
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Feb 20, 2024
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docx
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Math 451
Unit 3 Sensitivity for Minimization
Interactive Examples
Question 1
If there are four objective variables in a model, how many resources are there in the model?
Equal to or less than 4
2
4
Unlimited
Solution
The correct answer is
Unlimited
Correct
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Question 2
Which of the following is true about the reduced cost under the variable section of a sensitivity report?
It is the difference between the marginal contribution of resources and the objective function value.
It is the difference between the cost of an ingredient and the worth of the resource.
It is the difference between the marginal contribution of the objective function value and the marginal worth of resources.
It is the difference between the complete contribution of the objective function value and the complete worth of resources.
Solution
The correct answer is
It is the difference between the marginal contribution of the objective function value and the marginal worth of resources.
Correct
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Question 3
Linear programming models and the related Solver software can be used for which of the following?
Minimization optimal solutions only
Maximization and minimization optimal solutions simultaneously
Maximization optimal solutions only
Maximization and minimization optimal solutions
Solution
The correct answer is
Maximization and minimization optimal solutions
Correct
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Question 4
In the Constraints portion of the sensitivity report for the Diet Drink Company, the reduced cost for ingredient B is $0.17. If ingredient B is used, what would be the effect on the new optimal cost?
The cost would not change.
The cost would increase.
The cost would decrease.
The cost of other products would increase.
Solution
The correct answer is
The cost would increase.
Correct
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Question 5
If a situation requires that two ingredients A and B have at least a combination of three and four units, respectively, on one resource X and the constraint is ≥ 100 units for an optimal solution, what would the formula look like?
A × B ≥ = 100
A + B ≥ 100
A + B = X
A + B ≤ 100
Solution
The correct answer is
A + B ≥ 100
Correct
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