Exam 3: Linear Programming: Formulation and Applications

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When formulating a linear programming problem on a spreadsheet, data cells will show the levels of activities for the decisions being made.

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Choosing the best tradeoff between cost and benefits is a managerial judgment decision.

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It is fairly common to have both resource constraints and benefit constraints in the same formulation.

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  Where are data cells located? Where are data cells located?

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A freelance writer must choose how to spend her time working on several different types of projects. Newspaper stories take 3 hours to write and pay a flat rate of $45 per story. Magazine articles take much longer to write (25 hours) but pay significantly better ($400 per article). Proofreading is often tedious, but the writer can always find proofreading jobs that pay $20 per hour. The writer wants to maximize her income, but doesn't want to work more than 45 hours per week. Additionally, she dislikes proofreading so she would like to spend no more than 7 hours per week on that task. Both newspaper stories and magazine articles must be completed in the week they are started (HINT: use an integer constraint to be sure that all newspaper and magazine jobs are finished within a week). Which of the following is the constraint that limits the amount of time the writer will work each week?

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Applications of assignment problems may include:

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Strict inequalities (i.e., < or >) are not permitted in linear programming formulations.

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Cost-benefit tradeoff problems have the following type of constraints:

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A freelance writer must choose how to spend her time working on several different types of projects. Newspaper stories take 3 hours to write and pay a flat rate of $45 per story. Magazine articles take much longer to write (25 hours) but pay significantly better ($400 per article). Proofreading is often tedious, but the writer can always find proofreading jobs that pay $20 per hour. The writer wants to maximize her income, but doesn't want to work more than 45 hours per week. Additionally, she dislikes proofreading so she would like to spend no more than 7 hours per week on that task. Both newspaper stories and magazine articles must be completed in the week they are started (HINT: use an integer constraint to be sure that all newspaper and magazine jobs are finished within a week). Which of the following is the objective function for the writer's problem?

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A linear programming model contains which of the following components?

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Cost-benefit-tradeoff problems are linear programming problems involving the allocation of limited resources to activities.

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Once a linear programming problem has been formulated, it is rare to make major adjustments to it.

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The transportation model method for evaluating location alternatives minimizes:

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An assignment problem is a special type of transportation problem.

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In an assignment problem, it is necessary to add an integer constraint to the decision variables to ensure that they will take on a value of either 0 or 1.

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A mathematical model will be an exact representation of the real problem.

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