In a BIP problem with 2 mutually exclusive alternatives,x1 and x2,the following constraint needs to be added to the formulation:

A) x1 + x2 $\le$ 1. B) x1 + x2 $\ge$ 1. C) x1 - x2 $\le$ 1. D) x1 - x2 = 1. E) None of the above. A) x1 + x2 $\le$ 1. B) x1 + x2 $\ge$ 1. C) x1 - x2 $\le$ 1. D) x1 - x2 = 1. E) None of the above. A

In a BIP problem with 2 mutually exclusive alternatives,x1 and x2,the following constraint needs to be added to the formulation if one alternative must be chosen:

A) x1 + x2 $\le$ 1. B) x1 + x2 = 1. C) x1 - x2 $\le$ 1. D) x1 - x2 = 1. E) None of the above. A) x1 + x2 $\le$ 1. B) x1 + x2 = 1. C) x1 - x2 $\le$ 1. D) x1 - x2 = 1. E) None of the above.

In a BIP problem with 3 mutually exclusive alternatives,x1,x2,and x3,the following constraint needs to be added to the formulation:

A) x1 + x2 +x3 $\le$ 1. B) x1 + x2 +x3 = 1. C) x1 - x2 -x3 $\le$ 1. D) x1 - x2 -x3= 1. E) None of the above. A) x1 + x2 +x3 $\le$ 1. B) x1 + x2 +x3 = 1. C) x1 - x2 -x3 $\le$ 1. D) x1 - x2 -x3= 1. E) None of the above.

Exam 7: Using Binary Integer Programming to Deal With Yes-Or-No Decisions

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If choosing one alternative from a group excludes choosing all of the others then these alternatives are called mutually exclusive.

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Question 1

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The constraint x₁ + x₂ + x₃ $\le$ 3 in a BIP represents mutually exclusive alternatives.

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In a BIP problem with 2 mutually exclusive alternatives,x₁ and x₂,the following constraint needs to be added to the formulation:

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Solver Table can be used to perform sensitivity analysis for integer programming problems. Multiple Choice Questions

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Question 4

A linear programming formulation is not valid for a product mix problem when there are setup costs for initiating production.

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Question 5

Binary variables are best suited to be the decision variables when dealing with yes-or-no decisions.

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Question 6

In a BIP problem with 2 mutually exclusive alternatives,x₁ and x₂,the following constraint needs to be added to the formulation if one alternative must be chosen:

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Question 7

The algorithms available for solving BIP problems are much more efficient than those for linear programming which is one of the advantages of formulating problems this way.

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Question 8

Binary variables can have the following values:

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Question 9

BIP can be used to determine the timing of activities.

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Question 10

In a BIP problem with 3 mutually exclusive alternatives,x₁,x₂,and x₃,the following constraint needs to be added to the formulation:

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Question 11

A problems where all the variables are binary variables is called a pure BIP problem.

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Question 12

It is possible to have a constraint in a BIP that excludes the possibility of choosing none of the alternatives available.

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Question 13

The constraint x₁ $\le$ x₂ in a BIP problem means that alternative 2 cannot be selected unless alternative 1 is also selected.

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Question 14

Binary integer programming can be used for:

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Question 15

In a BIP problem,1 corresponds to a yes decision and 0 to a no decision.If there are 4 projects under consideration (A,B,C,and D)and at most 2 can be chosen then the following constraint needs to be added to the formulation:

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Question 16

A BIP problem considers one yes-or-no decision at a time with the objective of choosing the best alternative.

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Question 17

Which of the following techniques or tools can be used to perform sensitivity analysis for an integer programming problem?

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Question 18

The Excel sensitivity report can be used to perform sensitivity analysis for integer programming problems.

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Question 19

BIP can be used in capital budgeting decisions to determine whether to invest a certain amount.

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Question 20

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Exam 7: Using Binary Integer Programming to Deal With Yes-Or-No Decisions

If choosing one alternative from a group excludes choosing all of the others then these alternatives are called mutually exclusive.

The constraint x1 + x2 + x3 ≤\le≤ 3 in a BIP represents mutually exclusive alternatives.

In a BIP problem with 2 mutually exclusive alternatives,x1 and x2,the following constraint needs to be added to the formulation:

Solver Table can be used to perform sensitivity analysis for integer programming problems. Multiple Choice Questions

A linear programming formulation is not valid for a product mix problem when there are setup costs for initiating production.

Binary variables are best suited to be the decision variables when dealing with yes-or-no decisions.

In a BIP problem with 2 mutually exclusive alternatives,x1 and x2,the following constraint needs to be added to the formulation if one alternative must be chosen:

The algorithms available for solving BIP problems are much more efficient than those for linear programming which is one of the advantages of formulating problems this way.

Binary variables can have the following values:

BIP can be used to determine the timing of activities.

In a BIP problem with 3 mutually exclusive alternatives,x1,x2,and x3,the following constraint needs to be added to the formulation:

A problems where all the variables are binary variables is called a pure BIP problem.

It is possible to have a constraint in a BIP that excludes the possibility of choosing none of the alternatives available.

The constraint x1 ≤\le≤ x2 in a BIP problem means that alternative 2 cannot be selected unless alternative 1 is also selected.

Binary integer programming can be used for:

In a BIP problem,1 corresponds to a yes decision and 0 to a no decision.If there are 4 projects under consideration (A,B,C,and D)and at most 2 can be chosen then the following constraint needs to be added to the formulation:

A BIP problem considers one yes-or-no decision at a time with the objective of choosing the best alternative.

Which of the following techniques or tools can be used to perform sensitivity analysis for an integer programming problem?

The Excel sensitivity report can be used to perform sensitivity analysis for integer programming problems.

BIP can be used in capital budgeting decisions to determine whether to invest a certain amount.

Introduction

Linear Programming: Basic Concepts

Linear Programming: Formulation and Applications

The Art of Modeling With Spreadsheets

What-If Analysis for Linear Programming

Network Optimization Problems

Nonlinear Programming

Decision Analysis

Cd Supplement - Decision Analysis

Forecasting

Queueing Models

CD Supplement - Additional Queueing Models

Computer Simulation: Basic Concepts

CD Supplement - the Inverse Transformation Method for Generating Random Observations

Computer Simulation With Crystal Ball

CD - Solution Concepts for Linear Programming

CD - Transportation and Assignment Problems

CD - Pertcpm Models for Project Management

CD - Goal Programming

CD - Inventory Management With Known Demand

CD - Inventory Management With Uncertain Demand

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The constraint x₁ + x₂ + x₃ $\le$ 3 in a BIP represents mutually exclusive alternatives.

In a BIP problem with 2 mutually exclusive alternatives,x₁ and x₂,the following constraint needs to be added to the formulation:

In a BIP problem with 2 mutually exclusive alternatives,x₁ and x₂,the following constraint needs to be added to the formulation if one alternative must be chosen:

In a BIP problem with 3 mutually exclusive alternatives,x₁,x₂,and x₃,the following constraint needs to be added to the formulation:

The constraint x₁ $\le$ x₂ in a BIP problem means that alternative 2 cannot be selected unless alternative 1 is also selected.