"The optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem" Essays and Research Papers

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    Graphical and Simplex Methods of Linear Programming The graphical method is the more popular method to use because they are easy to use and understand. Working with only a few variables at a time they allow operations managers to compare projected demand to existing capacity. The graphical method is a trial and error approach that can be easily done by a manager or even a clerical staff. Since it is trial and error though‚ it does not necessarily generate the optimal plan. One downside of this method

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    socioeconomic problems‚ which our country is facing today‚ the problem of unemployment is one of the most serious Unemployment is defined as condition of a person who is willing to work but unable to find a paying job. There are various factors that are responsible for unemployment i country. Unemployment can be due to seasonal layoff particularly in agricultural sector. It can be due to technological changes in an automated industry or due to lack of adequate skills by the workers. Unemployment can also

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    School security is a current problem people are trying to strengthen and advance. They are trying to make schools a safe place for kids so parents do not have to worry about the safety of their child when they are at school. Recently a man worked his way into a school in Connecticut and shot students and teachers. This shows that even though people are trying to strengthen school security‚ there are still weaknesses that need to be fixed so something like this does not happen again. Somehow this

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    the total cost of borrowing over the life of the bond. (4) Would the total bond interest expense be greater than‚ the same as‚ or less than the total interest expense that would be reported if the straight-line method of amortization were used? SOLUTION (a) (1) 2010 July  1 Cash 3‚501‚514 Discount on Bonds   Payable   498‚486 Bonds Payable 4‚000‚000 (2) Dec. 31 Bond Interest Expense   ($3‚501‚514 X 5%) 175‚076 Discount on Bonds   Payable     15‚076

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    the order of the matrix is 3 × 4. (ii) Since the order of the matrix is 3 × 4‚ there are 3 × 4 = 12 elements in it. (iii) a13 = 19‚ a21 = 35‚ a33 = −5‚ a24 = 12‚ a23 = Question 2: If a matrix has 24 elements‚ what are the possible order it can have? What‚ if it has 13 elements? Answer We know that if a matrix is of the order m × n‚ it has mn elements. Thus‚ to find all the possible orders of a matrix having 24 elements‚ we have to find all the ordered pairs of natural numbers whose product

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    there is a 20% increase in demand at each of the three cities‚ which can be met by purchasing electricity from another network at a premium rate of $1000 per million kwh. The network is not linked to city 3‚ however. The utility company wishes to determine the most economical plan for the distribution and purchase of additional energy. (a) Formulate the problem (b) Solve the problem using Excel Solver and determine an optimal distribution plan for the company. SET B: 10979107‚ 10355529‚ 10656650

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    (b) The latest allowable time (TL) for them‚ (c) The slack values‚ (d) The critical paths‚ and (e) The probability factor for completing the project in 30 weeks. [pic] [pic] SOLUTION: [pic][pic] [pic] (iv) Critical Path 1–2–4–6–7–9–10 = 28 weeks. Vcp = 2 and σcp = 1.41 (v) The probability factor for completing the project in 30 weeks. Z = (X – μ)/σ where X = 30 weeks‚ μ = 28 weeks

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    What is a linear programming problem ? Discuss the steps and role of linear programming is solving management problems. Discuss and describe the role of liner programming in managerial decision-making bringing out limitations‚ if any. Ans : Linear Programming is a mathematical technique useful for allocation of scarce or limited resources to several competing activities on the basis of given criterion of optimality. The usefulness of linear programming as a tool for optimal decision-making

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    Problem 1:Input names of students from the user‚ terminated by ZZZ‚ andcreate a data file GRADES with records of the form:student (string)‚ test1 (integer)‚ test2 (integer)‚ test3 (integer)In this file‚ all test scores should be set equal to 0. Main Program Open GRADES Declare Name as String Call Write Grades Module Close GRADES End Main Module Write Grades Module Display "Enter Student’s Name‚ ZZZ to quit” Input Name While Name <> "ZZZ" Write Name to GRADES Write "0 0 0" to GRADES Write newline

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    Pg. 134 # 2 A) The students can go to the computer lab to do this‚ because an instructor wants students to have extra practice in a subject (such as reading or math.) B) Students may also want to use computer labs for reports and papers‚ because most instructors require neatly type assignments. C) If some students don’t have access to the Internet at home‚ they may use computer labs at school to find information on the Web for their assignments. D) Sometimes students may use computer labs

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