Linear Model For Emporium Coffee †Click to get free solution

Question: Discuss about theLinear Model for Emporium Coffee. Answer: Introduction According to Lucey (1994), the first step is to define the variables so that we can be able to develop the linear model. In order to develop the linear model we are given the following information; The company produces 2 coffee blends; Blend O and blend F Each blend requires an exact number of caffeine units for each 250g Blend O requires 7.5 caffeine units/ 250g Blend F requires 6 caffeine units/ 250g Selling price/250g of blend O is $ 190 Selling price/250g of blend F is $ 165 Production cost/250g of blend O is $ 25 Production cost/250g of blend F is $ 22 Overhead cost/250g of both blends is $ 10 To produce both blends requires 2 varieties of raw coffee beans; Arusha beans and Boyo beans Arusha beans contain 9.5 caffeine units/ 250g Boyo beans contain 5 caffeine units/ 250g Company capacity as inventory is Arusha beans 1,250kg; Boyo beans 3,750 kg The next step is to convert the conditions into symbolic form. We first identify the decision variables thus; Let x = Blend O y = Blend F Express the constraints as a system of inequalities x 0, y 0, where x and y are whole numbers The objective is to maximize the monthly profit thus the objective function is; Maximize 190x + 165y Based on the information above, the linear model can now be expressed as; Maximize 190x + 165y (profit) Subject to: 7.5x + 6y 250 (precision constraint) 25x + 22y 250 (production constraint) 10x + 10y 250 (overhead constraint) x + y 250 (Arusha beans constraint) x + y 250 (Boyo beans constraint) x + y 1,250 (Arusha beans inventory constraint) x + y 3,750(Boyo beans inventory constraint) The model works by first designing the Linear programming equation. Since the objective is to maximize profit, the objective function is designed in such a way to achieve optimality given the resources and constraints available. The method used is the simplex method of linear programming and the calculations of optimality are calculated using the solver function of Microsoft excel 2007. The LP model was designed that way to determine the maximum achievable profit given the seven constraints and recommend the best way to utilize the available resources at minimum cost The Solver answer report below shows the maximum Boyo beans required per 250g to produce blend O and F has been achieved. This means that if we were to utilize Boyo beans only, optimum profit is attainable. Table 1: Solver Answer Report The answer report also had non-binding variables which indicates there is a difference between the LHS and RHS. The slack values indicated that there were some unused resources at optimal solution. For the precision constraint, 37.5g is used for a total of 250g available. Likewise, in the production,overhead, Arusha beans, Arusha beans inventory and Boyo beans inventory constraints they were underutilized by 125,200,4.5, 1245 and 3745 respectively of the maximum allocated. The answer report shows that the optimum value of $ 950. See the table below. Table 2: The LP Model with Optimized Solution Target Cell (Max) Cell Name Original Value Final Value $B$6 Z Blend O (x) 0 950 Optimum value Adjustable Cells Cell Name Original Value Final Value $B$5 Solutions Blend O (x) 0 5 $C$5 Solutions Blend F (y) 0 0 Constraints Cell Name Cell Value Formula Status Slack $B$17 precision constraint LHS 37.5 $B$17=$C$17 Not Binding 212.5 $B$18 production constraint LHS 125 $B$18=$C$18 Not Binding 125 $B$19 overhead constraint LHS 50 $B$19=$C$19 Not Binding 200 $B$20 Arusha beans constraint LHS 5 $B$20=$C$20 Not Binding 4.5 $B$21 Boyo beans constraint LHS 5 $B$21=$C$21 Binding 0 $B$22 Arusha beans inventory constraint LHS 5 $B$22=$C$22 Not Binding 1245 $B$23 Boyo beans inventory constraint LHS 5 $B$23=$C$23 Not Binding 3745 $B$5 Solutions Blend O (x) 5 $B$5=0 Not Binding 5 $C$5 Solutions Blend F (y) 0 $C$5=0 Binding 0 The sensitivity report below includes the adjustable cells and constraints section. In the range of optimality represents the allowable increase and decrease of the original objective coefficient that is, the profit of blend O and blend F. using the constraints of the objective function, blend O can be reduced to $ 165 and no maximum increase limit without affecting the final value. In addition, blend F can be reduced to zero and increased to $ 190 The range of feasibility relates to the constraints available and the same case as in the optimality check. Precision constraint can be reduced by 37.5 with no upper limit, production constraint reduced to 125 with no upper limit, overhead constraint can be reduced to 50 with no upper limit, Arusha beans constraint can be reduced to 4.5with an upper limit of 5; Boyo beans constraint cane be reduced to zero and a maximum of 9.5; Arusha beans inventory constraint can be reduced to 5 with no upper limit and; Boyo beans inventory constraint to a low of 5 with no upper limit. All these adjustments can be done without affecting the final values . Constraints with no upper limits are those that were non-binding in the model and should be handled with caution. The sensitivity report also produced a shadow price. The shadow price means that if we were to increase the value of Boyo beans by one, assuming the range of feasibility of between zero and 9.5,then instead of getting the optimum value (z) of $950 we would get $ 1,140. All the other constraints were not binding since the shadow prices were zero. Therefore, the critical constraint is the Boyo beans constraint. Table 3: Sensitivity Report Adjustable Cells Final Reduced Objective Allowable Allowable Range of Optimality Cell Name Value Cost Coefficient Increase Decrease Lower limit Upper limit $B$5 Solutions Blend O (x) 5 0 190 infinity 25 165 infinity $C$5 Solutions Blend F (y) 0 -25 165 25 infinity 0 190 Constraints Final Shadow Constraint Allowable Allowable Range of feasibility Cell Name Value Price R.H. Side Increase Decrease Lower limit Upper limit $B$17 precision constraint LHS 37.5 0 250 infinity 212.5 37.5 infinity $B$18 production constraint LHS 125 0 250 infinity 125 125 infinity $B$19 overhead constraint LHS 50 0 250 infinity 200 50 infinity $B$20 Arusha beans constraint LHS 5 0 9.5 infinity 4.5 5 infinity $B$21 Boyo beans constraint LHS 5 190 5 4.5 5 0 9.5 Critical constraint $B$22 Arusha beans inventory constraint LHS 5 0 1250 infinity 1245 5 infinity $B$23 Boyo beans inventory constraint LHS 5 0 3750 infinity 3745 5 infinity Conclusion Emporium Coffee produces two blends of coffee, blend O and blend F. The model was designed to illustrate how the company can maximize profits given the constraints of each blend. The LP model found a maximum profit of $ 950 per month while considering the constraints. It can be concluded that Boyo beans are more profitable than Arusha beans given the available constraints. The profit can be maximized to $1,140. It is therefore recommended that Emporium Coffee should consider using only Boyo beans to maximize profit. It is also recommended that the inventory be reduced for both varieties of beans to improve cash flow. References Lucey, T. (1996)Quantitative techniques. United Kingdom: Cengage Learning EMEA.

Career Essay Example For Students

Career Essay Normal people dont understand this concept; they believe that if it aint broke dont fix it. Engineers believe if it aint broke it doesnt have enough features yet. -Scott Adams. My choice career is engineering. After high school I plan on furthering my education in Mechanical Design Engineering. The greatest of the skills I possess is mathematics and the art of creativity, and out of which becomes most of the modern day engineers. Engineers are just artistically innovative problem solvers or lately problem makers engineering joke. My long-time set goal is to graduate high school with honors, attend and graduate Georgia Tech (or Kennesaw State) with Bachelors degree, and transfer to Seoul University for my masters and doctoral degrees. I will be majoring in Engineering Mathematics which is pretty rigorous and minoring in mostly culinary arts or photograph as an enjoyable breather. Fun Fact: %83 of mathematics majors prefered culinary arts as a Plan B career choice. To prepare to take on my career, it would be best to start finding things around me that may need improvement to make it better to manage and evaluate what and how it can be done. This way of thinking is the nonstop process of engineering minds. Once the mind is trained to be keen in recognizing flaws that can be improved upon, I will be prepared most of the way.Anyone can dream to become an engineer but I need to be a needed or prioritized engineer. Mechanical engineers produce specifications for, design, develop, manufacture and install new or modified mechanical components or systems. I, to make myself more marketable in my field, will have specialized education to mechanical engineering as well as greatly familiarized myself with other field related to mine that my overlap at a time. This means that I can do more than just one specific job, which in turn saves money because the less man power you have to pay for the more profit received. Not only am i more marketable it also makes me more valuable. The average salary of a mechanical engineer is 84,190$. However, if we combine the extra skill sets and abilities that I bring to the table the average number goes up. Id be a pretty well payed problem solver, just doing what i like to do. I hope to make everyday functions easier and more effective to rid of our modern frustrations. The stability is in the zill and drive i put into the work that i enjoy to help others and myself. Although this is my absolute dream there are other career choices to choose from as backups such as: technician, technologist, mechatronics engineering, professor, teacher, and/or mentor. These are still in the line of work i aspire to accomplish and are still just as enjoyable. We all know that its only fair if we work the jobs of our dreams in the place of our dreams. Bearing this in mind, the places i would love to work is in my hometown Shinsadong, Rep. Korea, or in Japan, England, and maybe even back here in Georgia. But wherever I work, I want to work on what i love doing, canceling unnecessary stress that isnt really called for but rather live for the enjoyment and get payed for it. Nothing beats being a good mechanical engineer to me.

The Stranger By Albert Camus Essays - Absurdist Fiction,

The Stranger by Albert Camus In The Stranger, Albert Camus portrays Meursault, the book's narrator and main character, as aloof, detached, and unemotional. He does not think much about events or their consequences, nor does he express much feeling in relationships or during emotional times. He displays an impassiveness throughout the book in his reactions to the people and events described in the book. After his mother's death he sheds no tears; seems to show no emotions. He displays limited feelings for his girlfriend, Marie Cardona, and shows no remorse at all for killing an Arab. His reactions to life and to people distances him from his emotions, positive or negative, and from intimate relationships with others, thus he is called by the book's title, "the stranger". While this behavior can be seen as a negative trait, there is a young woman who seems to want to have a relationship with Meursault and a neighbor who wants friendship. He seems content to be indifferent, possibly protected from pain by his indif ference. Meursault rarely shows any feeling when in situations which would, for most people, elicit strong emotions. Throughout the vigil, watching over his mother's dead body, and at her funeral, he never cries. He is, further, depicted enjoying a cup of coffee with milk during the vigil, and having a smoke with a caretaker at the nursing home in which his mother died. The following day, after his mother's funeral, he goes to the beach and meets a former colleague named Marie Cardona. They swim, go to a movie, and then spend the night together. Later in their relationship, Marie asks Meursault if he wants to marry her. He responds that it doesn't matter to him, and if she wants to get married, he would agree. She then asks him if he loves her. To that question he responds that he probably doesn't, and explains that marriage really isn't such a serious thing and doesn't require love. This reaction is fairly typical of Meursault as portrayed in the book. He appears to be casual and i ndifferent about life events. Nothing seems to be very significant to him. Later on in the book, after he kills an Arab, not once does he show any remorse or guilt for what he did. Did he really feel nothing? Camus seems to indicate that Meursault is almost oblivious and totally unruffled and untouched by events and people around him. He is unwilling to lie, during his trial, about killing the Arab. His reluctance to get involved in defending himself results in a verdict of death by guillotine. Had Meursault been engaged in his defense, explaining his actions, he might have been set free. Meursault's unresponsive behavior, distant from any apparent emotions, is probably reinforced by the despair which he sees open and feeling individuals experience. He observes, for example, Raymond cheated on and hurt by a girlfriend, and sees his other neighbor, Salamano, very depressed when he loses a dear companion, his dog. Meursault's responses are very different, he doesn't get depressed at d eath nor does he get emotionally involved. He appears to be totally apathetic. Thus, he seems to feel no pain and is protected from life's disappointments. Sometimes a person like Meursault can be appealing to others because he is so non-judgmental and uncritical, probably a result of indifference rather than sympathetic feelings. His limited involvement might attract some people because an end result of his distance is a sort of acceptance of others, thus he is not a threat to their egos. Raymond Sintes, a neighbor who is a pimp, seems to feel comfortable with Meursault. Sintes does not have to justify himself because Meursault doesn't comment on how Sintes makes money or how he chooses to live his life. Even though Meursault shows no strong emotions or deep affection, Marie, his girlfriend, is still attracted and interested in him. She is aware of, possibly even fascinated by, his indifference. Despite the seemingly negative qu

How to Write a Handy Argumentative Essay Sample

How to Write a Handy Argumentative Essay SampleYou're having a hard time thinking of an argumentative essay sample to work from. Your professor may not have anything for you. Maybe he or she has a terrible idea for a topic or you can't think of anything, or something. Here's a suggestion, and we'll discuss the topic in detail in another article.Sit down in your professor's office and ask him or her what he or she wants for you to write about. There's a good chance that they will give you exactly what you need. When you do this, try not to be offended. After all, this is a process where you'll be taking your advice and using it. If your professor finds it useful, you'll learn.Sometimes someone doesn't want to choose topics that are controversial. The idea is that we live in a free country. We're allowed to say and do what we want. People who really hold a passion for something may choose topics that they feel will make them stand out.Euthanasia and assisted suicide are examples of top ics that some people are passionate about. Some people would want to end their lives if their doctors told them that it's the best thing for them to do. Some people believe that death is something we should be willing to try, however. They believe that they're giving themselves a better chance at living.In other words, some people believe that euthanasia and assisted suicide are cases where what you do matters. If you choose a topic that doesn't involve issues like these, you might get a very poor grade on your thesis. Some people argue that euthanasia and assisted suicide are cases where there should be no problem. There is a real debate about this topic. When you'choosing your topic, do yourself a favor and make sure that it doesn't have anything to do with euthanasia or assisted suicide.Remember that your topic should be relevant. To do this, you need to find a topic that will talk about important issues. It's OK to use research as a jumping off point. But don't do this just to u se research as a way to start your argumentative essay sample. You need a topic that will speak to a group of people that you know.When you're selecting a topic, choose a topic that you can relate to a person. A good example is 'My colleague insists that: A.' When you research the topic of euthanasia and assisted suicide, you can't be sure of what 'A' means.Another example of a topic that can relate to a person is 'Some people believe that: B.' As you research, you'll begin to see which topics can be used to help you write a good argumentative essay sample. When you get ready to select a topic, consider if it's important to you and whether or not it can be used to speak to a person. With each topic that you choose, consider what you want to say in your argumentative essay sample. Then, choose the topic that you feel works best for you.

Cola Wars paper

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The Ethical Theories of Punishment Essay Example | Topics and Well Written Essays - 2500 words

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Strategic management Essay Example | Topics and Well Written Essays - 1750 words - 2

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