Exam 3: Linear Programming: Formulation and Applications

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In linear programming formulations, it is possible to have the following types of constraints:

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A grocery store manager must decide how to best present a limited supply of milk and cookies to its customers. Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen. To increase appeal to customers, one gallon of milk and a dozen cookies can be packaged together and are then sold for a profit of $3.00 per bundle. The manager has 100 gallons of milk and 150 dozen cookies available each day. The manager has decided to stock at least 75 gallons of milk per day and demand for cookies is always 140 dozen per day. To maximize profits, how much of each product should the manager stock. What is the maximum daily profit that the grocery store can achieve?

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  Where are the output cells located? Where are the output cells located?

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Transportation and assignment problems are examples of fixed-requirement problems.

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When formulating a linear programming problem on a spreadsheet, which of the following is true?

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Using techniques to test the initial versions of a model to identify errors and omissions is called:

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Mixed problems may have the following type of constraints:

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Starting with a simple version of a model and adding to it until it reflects the real problem is called:

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When formulating a transportation problem on a spreadsheet, which of the following are necessary?

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  Where are the changing cells located? Where are the changing cells located?

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In a cost-benefit-trade-off problem, management defines the maximum amount that can be spent and the objective is to maximize benefits within this cost target.

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Model formulation should precede problem formulation.

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A transportation problem requires a unit cost for every source-destination combination.

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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). The writer's problem falls within which classification?

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Generally, assignment problems match people to an equal number of tasks at a minimum cost.

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In the algebraic form of a resource constraint, the coefficient of each decision variable is the resource usage per unit of the corresponding activity.

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When dealing with huge real problems, there is no such thing as the perfectly correct linear programming model for the problem.

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Blending problems are a special type of mixed linear programming problems.

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A grocery store manager must decide how to best present a limited supply of milk and cookies to its customers. Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen. To increase appeal to customers, one gallon of milk and a dozen cookies can be packaged together and are then sold for a profit of $3.00 per bundle. The manager has 100 gallons of milk and 150 dozen cookies available each day. The manager has decided to stock at least 75 gallons of milk per day and demand for cookies is always 140 dozen per day. To maximize profits, how much of each product should the manager stock. Which of the following is the constraint that limits the amount of milk the store will use (both in bundles and sold separately) each day?

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A mixed linear programming problem will always contain some of each of the three types of constraints in it.

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