a) P=PIZZA H=HOTDOGS S=BARBEQUE SANDWHICHES The L.P. for this case is‚ Maximize: P= 0.75P +1.05H +1.35S Subject to: 24.5p +16h +25s ≤ 55296 0.75p + 0.45h+0.90s ≤ 1500 P – h – s ≥ 0 H - 2s ≥ 0 P ‚ h ‚ s ≥ 0 The optimal solution occurs when P=1250 h-1250 s=0 Profit =$2250 Since the booth costs $1000 to lease per game‚ and the oven is $100 per game‚ then Julia’s overall profit is‚ P = 2250 - 1100 = $1150 Hence it is worth leasing the booth. b) The shadow price for
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Final Examination Math 540 Quantitative Methods Good luck on the exam. I hope you have enjoyed the course. Dr. West Multiple Choice (2 points each) (Select 8 – drop 1) ______1) For your project‚ what one way will not possibly generate increased profit? a) Increase your building space or lot size. b) Decrease the money paid to employees. c) Refinance the loan at a lower rate. d) Charge more for
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Give a generic definition for a model According to Wilson’s definition a model is the explicit interpretation of one’s understanding of a situation‚ or simply of one’s idea about that situation. It can be expressed in mathematics‚ symbols or words. But it is essentially a description of entities‚ process or attributes and the relationships between them. It may be prescriptive or illustrative‚ but about all‚ it must be useful. Describe the purpose and uses of models There are various use
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The International Review of Mathematical Sciences 2010 (IRMS 2010) stated that "UK researchers represent excellence in continuous‚ stochastic and combinatorial optimisation... in particular‚ UK work on hyper-heuristic methods is world-leading and has had a significant impact." The mathematical aspects of operational research have received significant support from EPSRC in recent years. The LANCS Initiative‚ a Science and Innovation award‚ has led to increased capacity at the four universities
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CHAPTER 8 Linear Programming Applications Teaching Suggestions Teaching Suggestion 8.1: Importance of Formulating Large LP Problems. Since computers are used to solve virtually all business LP problems‚ the most important thing a student can do is to get experience in formulating a wide variety of problems. This chapter provides such a variety. Teaching Suggestion 8.2: Note on Production Scheduling Problems. The Greenberg Motor example in this chapter is largest large
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Linear Programming Concept Paper There are two types of linear programming: 1. Linear Programming- involves no more than 2 variables‚ linear programming problems can be structured to minimize costs as well as maximize profits. Due to the increasing complexity of business organizations‚ the role of the management executive as a decision maker is becoming more and more difficult. Linear programming is a useful technique to solve such problems. The necessary condition is that the data must be
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Z07_TAYL4367_10_SE_ModB.QXD B-22 Module B 1/9/09 8:19 AM Page B-22 Transportation and Assignment Solution Methods Solution of the Assignment Model An assignment model is a special form of the transportation model in which all supply and demand values equal one. Table B-34 The Travel Distances to Each Game for Each Team of Officials An opportunity cost table is developed by first substracting the minimum value in each row from all other row values and then repeating
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Primal-Dual Approximation Algorithms We just saw how the primal-dual schema permits sometimes designing efficient combinatorial algorithms for solving certain problems. We will now see an example of how a related technique can sometimes be used to design efficient approximation algorithms The major tool that we will use will be the RELAXED Complementary Slackness conditions The problem we examine will again be weighted set-cover. 1 Recall that given canonical primal n minimize
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Production & Operations Management–Homework 1 for Section 4 Due Tuesday October 16‚ 2012 1.1 Eastman publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation‚ textbook design‚ and production setup is estimated to be $80‚000. Variable production and material costs are estimated to be $3 per book. Demand over the life of the book is estimated to be 4‚000 copies. The publisher plans to sell the text to college
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nt MULTIMEDIA UNIVERSITY GROUP ASSIGNMENT BDS4614 / BDS2074 – MANAGEMENT DECISION SCIENCE INSTRUCTIONS TO STUDENT 1. This Assignment is a Group Assignment of not more than 2 students and consists of 5 pages with 5 Questions only. 2. Answer all the questions. All questions carry equal marks and the distribution of the marks for each question is given. 3. The hard copy of the answer booklet must be printed and must be submitted to your respective
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