After formulating and solving a linear programming model for Julia’s Food Booth, I feel that Julia should lease the food booth at the Tech stadium football games. Yes. Julia should lease the booth because she would potentially make a profit of $1150 ($2250-$1100) each game; this is more than what she needs to run the booth. In addition, because she has cash on hand of $1500 to purchase and prepare the food items for the first game, Julia would not have to use any of the money that she makes to
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12 Integer Programming In Chap. 3 you saw several examples of the numerous and diverse applications of linear programming. However, one key limitation that prevents many more applications is the assumption of divisibility (see Sec. 3.3), which requires that noninteger values be permissible for decision variables. In many practical problems, the decision variables actually make sense only if they have integer values. For example, it is often necessary to assign people, machines, and vehicles to
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Michelle D. Griner MAT540 – Professor Johnson Strayer University Formulate a linear programming model for Julia that will help you to advise her if she should lease the booth. Formulate the model for the first home game. Explain how you derived the profit function and constraints and show any calculations that allow you to arrive at those equations. Let, X1 =No of pizza slices, X2 =No of hot dogs, X3 = No of barbeque sandwiches Objective function co-efficient: The objective is to maximize
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Answer: False Correct Answer: False Question 5 5 out of 5 points Correct If we are solving a 0-1 integer programming problem, the constraint x1 = x2 is a conditional constraint. Answer Selected Answer: False Correct Answer: False Question 6 5 out of 5 points Correct Fractional relationships between variables are not permitted in the standard form of a linear program. Answer Selected Answer: True Correct Answer: True Question 7 5 out of 5 points Correct A business
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warehouses in its distribution network. In response to forecasted demands in 5 years, Usemore is considering building 2 new plants and 6 new warehouses. The problem is modeled as a linear program with objective to minimize cost. However, the model must be formulated as piecewise linear in order to account for the non-linear warehousing costs. The recommended course of action for Usemore is to build 1 new plant, shut down 5 of the existing public warehouses, and open 5 of the new warehouses. Table
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Koopmans. The first two were famous mathematicians. The last three received the Nobel Prize in economics. In the years from the time when it was first proposed in 1947 by the author (in connection with the planning activities of the military), linear programming and its many extensions have come into wide use. In academic circles decision scientists (operations researchers and management scientists), as well as numerical analysts, mathematicians, and economists have written hundreds of books and
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20) + .20($1.05) = $1.07 Holiday mix: .25($1.25) + .15($.95) + .15($.90) + .25($1.20) + .20($1.05) = $1.10 2.) Let R = number of regular mix produced D = number of deluxe mix produced H = number of holiday mix produced The following linear programming model can be solved to maximize profit contribution for the nuts already purchased. Max = 1.65R + 2D + 2.25H .15R + .20D + .25H < = 6000 Almonds .25R + .20D + .15H < = 7500 Brazil .25R + .20D + .15H < = 7500 Filbert .10R + .20D
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OPERATIONS MANAGEMENT 1. Write a linear programming model that represents the diet problem of NM Co. Explain parameters, variables, constraints and objective function 5 Products : A, B, C, D, E A : corn B : milk C : bread D : French fries E : ice cream Parameters : the quantities of each vitamins and of calories provided by 100 grams of each type of food (see table 1) the price of 100 grams of each type of food (see table 1) the diet requirements for one person (see table 2) Variables : xa : the
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Natural Computing Series Series Editors: G. Rozenberg Th. Bäck A.E. Eiben J.N. Kok H.P. Spaink Leiden Center for Natural Computing Advisory Board: S. Amari G. Brassard K.A. De Jong C.C.A.M. Gielen T. Head L. Kari L. Landweber T. Martinetz Z. Michalewicz M.C. Mozer E. Oja G. P˘ un J. Reif H. Rubin A. Salomaa M. Schoenauer H.-P. Schwefel C. Torras a D. Whitley E. Winfree J.M. Zurada For further volumes: www.springer.com/series/4190 Franz Rothlauf Design of Modern Heuristics Principles
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distance between warehouses into consideration. Linear Programming model: Advantages: 1. it’s used to analyze economic, social, military problems 2. it’s used to solve complex problems 3. It’s make uses of available resources. 4. Improves quality of decisions. 5. Helps in productive management which gives better results. 6. More flexible than any other system. Disadvantages: 1. It only applies to problems where the constraints and objective are linear. 2. Factors like emergency, weather conditions
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