Simplex Method Example - 1545 Words

Simplex Method — more examples with standard problems COPYRIGHT  © 2006 by LAVON B. PAGE Farmer problem (once again) A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre of corn planted, her expenses are $50 and for each acre of soybeans planted, her expenses are $100. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90. If the total amount of storage space available is 19,200 bushels and the farmer has only $20,000 on hand, how many acres of each crop should she plant in order to maximize her profit? What will her profit be if she follows this strategy? COPYRIGHT  © 2006 by LAVON B.†¦show more content†¦How many houses of each type should he construct in order to maximize his profit? COPYRIGHT  © 2006 by LAVON B. PAGE Planning Subdivision x = # townhouses y = # single story z = # 2-story COPYRIGHT  © 2006 by LAVON B. PAGE Planning Subdivision x = # townhouses y = # single story z = # 2-story 1/6 x + 1/4 y + 1/2 z ! 60 40x + 50y + 60z ! 2880 25x + 30y + 40z ! 2400 Maximize: P = 15x + 18y + 20z (in thousands of $) COPYRIGHT  © 2006 by LAVON B. PAGE 1/6 x + 1/4 y + 1/2 z ! 60 40x + 50y + 60z ! 2880 25x + 30y + 40z ! 2400 1/6 x + 1/4 y + 1/2 z + u = 60 40x + 50y + 60z + v = 2880 25x + 30y + 40z + w = 2400 –15x – 18y – 20z + P = 0 COPYRIGHT  © 2006 by LAVON B. PAGE x ! 1 # # 6 # # 40 # # 25 # # -15 y 1 4 50 30 -18 z 1 2 60 40 -20 u v w P 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 $ 60 2880 2400 % 0 Find the first pivot element. COPYRIGHT  © 2006 by LAVON B. PAGE x ! 1 # # 6 # # 40 # # 25 # # -15 y 1 4 50 30 -18 z 1 2 60 40 -20 u v w P 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 $ 60 2880 2400 % 0 Here is the first pivot element. What is the first row operation? COPYRIGHT  © 2006 by LAVON B. PAGE x !1 # # 6 # #2 # # 3 # # 25 # # -15 y 1 4 5 6 30 -18 z 1 2 u v w P 1 0 0 0 $ 60 1 1 0 60 0 0 48 40 0 0 1 0 2400 -20 0 0 0 1 0% Specify the row operations to finish this step. COPYRIGHT  © 2006 by LAVON B. PAGE x ! -1Show MoreRelatedSimplex Method Essay1189 Words   |  5 PagesSimplex Method Paper Simplex Method Paper Many people may be wondering exactly what the simplex method is. The simplex method definition is a method for solving linear programming problems. According to Barnett, Byleen, and Karl (2011) the simplex method is used routinely on applied problems involving thousands of variables and problem constraints. George B. Dantzig developed the simplex method in 1947. In this paper the topic of discussion includes how to solve a simplex method problem thatRead MoreHw Solutions1306 Words   |  6 PagesTUTORIAL 2 Linear Programming - Minimisation Special cases Simplex maximisation 1. Innis Investments manages funds for a number of companies and wealthy clients. 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Other Methods of solving transportation problem..................................................11 LINEAR PROGRAMMING Linear programming is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linearRead MoreIkea Benchmarking1019 Words   |  5 PagesLinear Programming ï  · ï  · ï  · ï  · ï  · ï  · Model Formulation Graphical Solution Method Linear Programming Model Simplex method Solution Solving Linear Programming Problems with Excel Dr A Lung ï  · Student exercises Kingston University London 1 Linear Programming (LP) †¢ A model consisting of linear relationships representing a firm’s objective and resource constraints †¢ LP is a mathematical modeling technique used to determine a level of operational activity in order to achieve an objective, subject toRead MoreThe Application of Algebraic Topology ot Data Analysis1440 Words   |  6 Pagesdimensional data we would like to identify significant phenomena, and the persistence of topological features provides a new and potentially useful measure of significance. 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Concept of Fate In The Tragedy of Julius Caesar by William Shakespeare - Free Essay Example

Sample details Pages: 3 Words: 891 Downloads: 7 Date added: 2019/03/25 Category History Essay Level High school Tags: Julius Caesar Essay William Shakespeare Essay Did you like this example? Fate is inevitable, unavoidable, and ultimately ends in death. In The Tragedy of Julius Caesar by William Shakespeare, multiple characters experience a deadly fate, but it is not completely unavoidable. People also have control of their own lives and the ability to make decisions, affecting them and others. Shakespeare uses characters in this play to illustrate the theme of fate and to project how easily it can be tampered with. Fate, as a theme in this play, is involved in many of the characters lives. Fate is dependent on a persons actions. Julius Caesar is a character who inflicts death upon himself. Caesar ruled in the triumvirate with two powerful men, and when it came crashing down, Caesar was the only one lucky enough to stay alive. He had been involved in the death of another member, Pompey, whom was loved by the Romans: O you hard hearts, you cruel men of Rome, Knew you not Pompey? (1:1:38-39). Caesar is now taking Pompeys place, and was being celebrated, when he killed the peoples ruler. If Caesar hadnt been so ambitious for power, he wouldnt have gone into battle with Pompey and ultimately taken the throne from him. Then, when he is awarded with the power, he turned down the crown three times to seem humble, He put it by thrice, every time gentler than other; and at every putting by mine honest neighbors shouted (1:2:228-230). Most people still applauded him, but others saw his bluff. If Caesar wouldnt have been as greedy for the power, he would have been alive at the end of the play. The reader sees Caesars d ownfall play out. After killing a respected member of the government and taking over, there is bound to be criticism. The senators begin to turn on Caesar, just like he does against Pompey. Don’t waste time! Our writers will create an original "Concept of Fate In The Tragedy of Julius Caesar by William Shakespeare" essay for you Create order All the senators join to justly plot the murder of Caesar, but they dont complete it without consequences. Brutus, a well-respected man of Rome, believed in the mission to put Caesar to rest, And therefore think him of a servants egg Which hatched, would as his king grow mischievous, And kill him in the shell (2:1:32-34). The conspirators do not feel as though Caesar is trustworthy as a ruler; he did turn on Pompey. The belief is that Rome will be a much better place if Caesar is not part of it. Some conspirators had other reasons, on top of Caesar being selfish and greedy, that led them to participate in killing Julius Caesar. For example, Metellus Cimber, a conspirator, asks Caesar one last time before he dies, to let his brother come back: Is there no voice more worthy than my own, to sound more sweetly in great Caesars ear For the repealing of my banished brother? (3:1:49-51). Caesar had banished his brother from Rome prior to the setting of the play and Metellus seems to hold a grudge about it throughout the plot. Caesar is put to death in order to prove a point that Rome and its citizens would be better off without a ruler like him. Participating in the murder soon comes back to haunt each conspirator and lead to the formation of their own fates. The conspirators all face the repercussions for their actions. Brutus allowed Antony to speak at Caesars funeral. This was a big mistake. He uses sarcasm to address the conspirators as being honorable throughout his speech. By rallying the citizens up, together with Antony they can riot against each of the conspirators. They even go so far as to kill an innocent man with the same name as Cinna, Cinna the poet. A group of citizens carry Cinna the poet off the stage and one can only imagine what they would do to a real conspirator: Tear him! Tear him! (They attack him) Come, brands, ho! To Brutus, to Cassius! Burn all! Some to Decius house, and some to Cascas; some to Ligarius! (3:3:35-38). The people are finally giving all the senators what they believe is just. Brutus should have listened to Cassius and decided not to let Antony speak because now every Roman citizen wants the conspirators dead, and all eventually face that. Brutus could have saved himself by refusing to join in the first place, they all could have. But all of them participated and must deal with the consequences. Before the battle begins, Brutus tells Cassius, But this same day Must end that work the ides of March begun (5:1:112-113). The conspirators completed their mission on the 15th of March, and then their fates were altered. Caesar made decisions and acted in ways that formed his fate; the Conspirators should have seen their death coming. Life is full of choices, each choice that is made contributes to a persons fate. Caesar killed Pompey and was a selfish ruler, for his short time in power. The conspirators saw the truth in this and decided to act on Caesars bad ruling capabilities. But, by killing Caesar, they too changed their own fates. Any little action made by a person can be remembered and held against them. What someone thinks is unfair or just may not appear that way to everyone. It only takes one small decision to change a persons fate. Keep in mind every time a decision is going to be made, that people will remember it.

What Is ‘Creativity’ and How Can It Be Assessed Free Essays

Creativity refers to intuitive solutions that are of genuine value. A characteristic seen as most desirable, linked to problem solving and expertise (Garnham and Oakhill,1994). Additionally, Weisberg(1993) believed intended originality is involved with creative thinking. We will write a custom essay sample on What Is ‘Creativity’ and How Can It Be Assessed? or any similar topic only for you Order Now Despite its difficulty to define, creativity has been studied in diverse disciplines, often in conjunction with intelligence testing. According to Mooney(1963), the study of creativity arises from 4 perspectives; creative people, creative processes, products of creativity and creative places. The psychometric approach attempts to predict creative achievement and identify the products of creativity. Several established tests have been administered to creative people, to explain differences between intelligence, as measured by IQ and creativity tests. Guilford(1956) derived a hypothesis regarding this difference, differentiating between convergent and divergent thinking. Convergent thinking seeks to find the correct answer to specific problems, a strategy for solving most well-defined problems. Conversely, divergent thinking requires flexibility and originality, leading to many possible solutions which aid solving ill-defined problems. Guilford identified the process of divergent thinking as important for creativity, since involving indirect and productive thinking. However, research has indicated only slight correlation between performance on divergent thinking tasks and other measures of creativity. Additionally, its mixes creativity with intelligence or originality therefore is difficult to establish. The autobiographic and biographic approaches focus on the products of creativity. Unlike above, assumptions that intelligence and creativity correlate are ignored, as they are based on observation. Wallas(1926) proposed a four stage account of creative insights. Beginning with; perception, preparatory work on a problem; incubation, internalisation of problem into the unconscious mind. Followed by the most crucial stage, inspiration, the solution begins to appear in conscious awareness, in the form of flash of insight. Intimation occurs, feelings of the solution about to emerge; sensitivity is crucial in order to avoid distraction. Finally, verification is when the solution is applied and elaborated, ensuring the problem is solved. Wallas considered creativity to be a legacy of the evolutionary process, allowing humans to adapt to rapidly changing environments. How to cite What Is ‘Creativity’ and How Can It Be Assessed?, Essay examples What Is ‘Creativity’ and How Can It Be Assessed Free Essays Creativity refers to intuitive solutions that are of genuine value. A characteristic seen as most desirable, linked to problem solving and expertise (Garnham and Oakhill,1994). Additionally, Weisberg(1993) believed intended originality is involved with creative thinking. We will write a custom essay sample on What Is ‘Creativity’ and How Can It Be Assessed? or any similar topic only for you Order Now Despite its difficulty to define, creativity has been studied in diverse disciplines, often in conjunction with intelligence testing. According to Mooney(1963), the study of creativity arises from 4 perspectives; creative people, creative processes, products of creativity and creative places. The psychometric approach attempts to predict creative achievement and identify the products of creativity. Several established tests have been administered to creative people, to explain differences between intelligence, as measured by IQ and creativity tests. Guilford(1956) derived a hypothesis regarding this difference, differentiating between convergent and divergent thinking. Convergent thinking seeks to find the correct answer to specific problems, a strategy for solving most well-defined problems. Conversely, divergent thinking requires flexibility and originality, leading to many possible solutions which aid solving ill-defined problems. Guilford identified the process of divergent thinking as important for creativity, since involving indirect and productive thinking. However, research has indicated only slight correlation between performance on divergent thinking tasks and other measures of creativity. Additionally, its mixes creativity with intelligence or originality therefore is difficult to establish. The autobiographic and biographic approaches focus on the products of creativity. Unlike above, assumptions that intelligence and creativity correlate are ignored, as they are based on observation. Wallas(1926) proposed a four stage account of creative insights. Beginning with; perception, preparatory work on a problem; incubation, internalisation of problem into the unconscious mind. Followed by the most crucial stage, inspiration, the solution begins to appear in conscious awareness, in the form of flash of insight. Intimation occurs, feelings of the solution about to emerge; sensitivity is crucial in order to avoid distraction. Finally, verification is when the solution is applied and elaborated, ensuring the problem is solved. Wallas considered creativity to be a legacy of the evolutionary process, allowing humans to adapt to rapidly changing environments. How to cite What Is ‘Creativity’ and How Can It Be Assessed?, Papers

Military appts free essay sample

Doctors appointments are missed each and every day by people who either forget to show up or choose not to call and cancel their appointment. One of the reasons why it is best to try and keep your doctors appointment is because it is the polite thing to do. Would you arrange a job interview with a company you were serious about working for but then fail to show up? No, not in the civilian world. It is very important to schedule routine doctor appointments regularly to ensure proper treatment as needed to care for my health as an injured soldier. I schedule my appointments so I can work on treating my injuries physically and mentally so when I medically retire I can hope for a better future of recovering and living a healthy life with a greater chance of being alive a lot longer than if I didnt take proper treatment. We will write a custom essay sample on Military appts or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page If I didnt think appointment were important than I would see my health go downhill and the recovery would be nearly impossible. Its very important to be on time to my appointments because if I were late I wouldnt receive the proper treatment I need, I would be taking time away from another soldier that thinks his appointments are just as important for his treatment and it wouldnt be fair to anyone, including myself and my healthy life and another reason is because it is my place of duty while in the military. When scheduling appointments you do not want to miss them for a number of reasons. If you miss the appointment, you are not only wasting your doctors time. You could also place your health at risk if you do not start your treatment as quickly as possible. It is rude to your doctor and you are not following through with treatment thats important for your health. Someone who also needed treatment sooner could have had the opportunity to be seen if I was going to schedule and miss my appointment. One of the primary concerns with missed appointments is that they limit access to care for multiple patients. When patients fail to appear for their appointments or they dont call and cancel in advance, its kind of hard to have enough appointments to meet the health-care needs of other patients. Making an appointment is the same as guaranteeing you will be somewhere at the agreed upon time. Just as you expect a provider to be there as scheduled, the provider expects you to be there as well. The dental office supports hundreds of members a day and works hard to keep the process of seeing Soldiers flowing smoothly. Missing an appointment interrupts that process and creates unnecessary additional work for schedulers, providers, and staff. Our goal is to support the organization that supports us by meeting all appointments. Although I can understand your missing an appointment because of recent distractions, there is no valid excuse for missing an appointment. We must find a way to make sure you dont miss future appointments. People use a variety of methods but they all share one thing in common: they all realize, at the moment they make the appointment, that they have made a promise to be present at a certain time and place and must find a way to make sure they meet their obligation. Some people have established methods that they use over and over such as writing the appointment down in an appointment book and reviewing it daily. Others write it down on a sticky note and put it somewhere where they will see it every day to remind them of the impending appointment. I will not dictate the method you use because our goal is to make sure you meet all future appointments and the method I suggest may not work for you. You must choose a method that works for you and ensure you make all future appointmets because further missed appointments will result in more severe action and affect your career.