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Two-Variable Inequality
Two-Variable Inequality
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Two-Variable Inequality
Two-variable inequalities are relations between two expressions which are not equivalent and they also have two terms that vary. Ax + By > C is one of the forms that these inequalities take. The two-variable inequalities use signs such as ‘≠’ meaning not equal to, ‘?’ meaning that the unknown can take any value from the number that follows the sign, ‘<’ for less than and ‘>’ for greater than. Ozark Furniture makes various types or rockers. Two-variable inequalities are important when this company wants to determine the number of a particular type of rocker that they are to make in order to maximize profits and meet the market demands.
The assignment requires that I write an inequality limiting the number of strip hammocks. First of all, the variable needs to be defined for purpose of clarity. The number of full-size hammocks will be represented with “f” and the number of chair-size hammocks will be represented with “c”. Each full size hammock requires 10 yards of canvas so the expression that will represent the hammock shall be 10f and 5c for the expression representing the chair hammock as it requires 5 yards of canvas. The canvas that can be used does not exceed 2000 yards because that is all the company has available. “Less than or equal to” will be used in the inequality as it is appropriate in explaining that all the canvas can be used. The inequality will thus be:
10f + 5c ≤ 2000
Making c the dependent variable (on the vertical axis) and f is the independent variable (on the horizontal axis) then using the intercepts the inequality can be graphed as an equation. The process involves the following steps:
C-intercept can be found when the value of f is zero.
2000> 5c
400> c the intercept, c-intercept, is thus (0, 400).
F-intercept can be found when the value of c is zero.
2000>10f
200>f the intercept, f-intercept, is thus (200, 0).
The curve on the graph will be solid as the inequality is that takes the form of “less than or equal to”. As it moves from left to right it will slope downwards. This problem can only find relevance in the first quadrant of the graph, so the shaded section is from the line towards the origin and stops at the two axes. Graph represents real-world application as it cannot extend into the other quadrants since it is impossible to create negative hammocks. So as to check whether the order can be filled, test points can be used to see if they fall within the relevant section of the graph. Let’s consider points (105, 175) on the graph. The points are inside the shaded region which means the company could fill an order of 105 full size hammocks and 175 chair hammocks. If this was the total number made they would need:
105(10) + 175(5) = 1925 yards of striped canvas and have 75 yards of canvas left over thus this is an order that can be filled by the company.
Considering on the graph point (150, 125) which is outside the shaded region meaning the company will not be able to fill out such an order.
150(10) + 125(5) = 2125 yards of canvas required. They cannot fill the order.
The point (75, 250) is right on the line meaning if the company fills out this order it would be able to deliver if they provided no room for mistake as all the canvas would be needed. The proof for this is: 75(10) + 250(5) = 2000.
If a customer submits an order for 120 full size hammocks and 180 chair hammocks, then on the graph the point (120, 180) is outside of the shaded area therefore the company cannot meet such an order. 120(10) + 180(5) = 1200 + 900 = 2100 showing that the company need an addition of 100 yards of canvas so that they are able to fill this order.
In conclusion, the application of the two-variable inequalities has helped the company in planning and organizing itself when they receive an order. For instance an order for 120 full size hammocks and 180 chair hammocks can be plotted on the graph as (120, 180) and then this plot is used to determine whether or not the company has enough canvas to supply the customer. Inequalities are important in planning within a company as it helps reduce waste and improve customer satisfaction. The procurement department of a company may use the knowledge to organize the supply of raw materials to match the demand of the customers.
References
Dugopolski, M. (2012). Elementary and intermediate algebra (4th Ed.). New York, NY: McGraw-Hill Publishing.
Krause, E. F. (2012). Taxicab geometry: An adventure in non-Euclidean geometry. Courier Dover Publications.
SOCIAL INSTITUTIONS AND ORGANIZED CRIME
SOCIAL INSTITUTIONS AND ORGANIZED CRIME
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Introduction
The term social institution means a wide set of organized beliefs and rules that establish how society meets its basic functions. These set of beliefs and rules are very important to human life as they provide a structure for human life to base its coexistence upon. More academic research and scholarly expansion on the topic has come up with better definitions of the term. Recently, social institution was taken to mean an organized system that consists of roles, norms and values, in which members of a community coordinate, operate and relate with one another. So it is evident that social institutions satisfy the society’ basic needs and at the same time defining social behavior as well as patterns of behavior.
All societies consist of social institutions, but some vary more than others. For example, the social institution of the family enables us to bring up our kids while providing for them and protecting their development. However, in the current Western set up, the caregiver – whoever the individual is – is the head. In ancient Rome, the father was the head of the household whatever the circumstances. This shows a stark contrast in how the two periods ran families as units of society.
Studying social institution assists us in better understanding the individual roles of family members as part of the society’s core unit in relation to their interactions with other members of the society. There are many types of social institution, for example, family, government, mass media, economic and healthcare. In this paper, we shall dwell more on the effects of social institution on organized crime and less on a deeper explanation of the different types of this crucial element of social development.
Social institution and organized crime
The relationship between members of normal a social institution and organized crime is very obvious. Both are headed by a single figure that has a premeditated objective. Both act a leader and boss in different circumstances. In case a member of their organization goes astray, this leader acts as the boss and exacts a form of punishment that is deemed commensurate with the mistakes. In case of group activities that require input from several members of the groups or all of them, he/she acts like the leader and guides his group in accomplishing its goal. Sometimes the leader is not able to partake in any of these activities, instead choosing to delegate the same to a select group of members who have his trust and have proven themselves as capable of the task.
As mentioned earlier, a normal social institution’s members and those of cartel or any other group involved in organized crime are objective (Liddick, 1999). They have a common goal. The normal institution’s members are governed by its role in society. A family supports each other while raising its children, a mass media social institution support each other in the collection and dissemination of information in a timely, unbiased and easy-to-comprehend manner. On the other hand, organized crime members are involved in various illegal and/or criminal activities that include drug trafficking, prostitution, human trafficking, arms trade and smuggling and others. This shows a good relationship between social institution and organized crime as both are object-oriented.
Another relationship between social institutions and organized crime if their area of focus. Members of some social institutions focus on one area, as exemplified by the Girl Guide and Boy Scout movement. These are existent all over the world but each group focuses its activities in its home area providing assistance to outside regions only in times of need. Organized crime groups operate in a similar manner. Rabin (1979), supports the understanding that “these groups are very territorial and invasion into other’s territory often leads to gang wars and murders or torture” (pg, 236-251). Both groups focus their energies in their own regions and strengthen the group to avoid its falling apart.
Empirical and Speculative theories applicable to organized crime
Theories are explanations that consist of clearly defined, interrelated, and measurable propositions that try to explain an occurrence or problem. In trying to understand organized crime, the following theories have been forwarded.
Alien Conspiracy Theory
This is the most widely held theory among scholars and specialists that try to understand the emergence and prevalence of organized crime among many parts of the world. In the US, the images of smartly dressed men of foreign descent, wielding machine guns and riding in sleek cars, is blamed for the rise in organized crime rates during the period characterized by Mafia activity and after.
Although ethnicity is the key to this theory, many empirical scholars argue that its heavy reliance on the same overstates the role of ethnicity in organized crime. Desroches (2005) found that criminals of one ethnicity often engaged in crime as a unit but not exclusively. Albanese (2010) summed up on this observation using his study of Lansky and Capone’s organized crime activity by saying, “organized criminals who wished to survive and prosper relied more on business sense and logic than on kinship and ethnicity” (p. 25)
Rational Choice Theory
In trying to understand how man conducts himself the way he does in the current circumstance, theories have come up to explain organized crime that seem to justify its existence as a mere result to rational thinking. Sometimes, individuals find themselves in positions that demand a more critical look into bettering their circumstances. A bank teller who is experiencing financial difficulties might see sense in defrauding the very bank he works in. A distraught husband might decide to kill a man if he discovers that he has been sleeping with his wife. Such actions seem justified from their perpetrators’ perspectives, but the law cannot be subject to rationale. Potter & Jenkins point out the viability of this theory as the driving factor in many of the current organized crime groups as the existence. Loopholes in the constitution and corruption make these individuals come together to exploit gray opportunities since they know they have a way out.
Deterrence Theory
Some scholars believe that the existence of deterrence measures drive some criminals into organizing themselves into large groups in order to increase their powers of resistance against authorities and the law. Larger groups mean more resources which in turn mean the ability to intimidate authorities and bribe the morally sensitive ones. In addition, the best lawyers are sought since finances are no longer an issue in addition to ties with powerful political figures. Gandhirajan (2004) states,” criminals are more willing to commit crimes since courts have recently embraced a policy of correction rather than punishment, and with their vast resources they can better fight these” (p. 513).
Reference
Albanese, J. S. (2010). Organized Crime in Our Times. Burlington: Elsevier Science.
Desroches, F. J. (2005). The crime that pays: Drug trafficking and organized crime in Canada. Toronto: Canadian Scholars’ Press.
Gandhirajan, C. K. (2004). Organized crime. New Delhi: A.P.H. Pub. Corp.
Liddick, D. (1999). An empirical, theoretical, and historical overview of organized crime. Lewiston, NY: Edwin Mellen Press.
Showing Multiple Interpretations of a Visual Text
Showing Multiple Interpretations of a Visual Text
There are no facts, only interpretations.
Friedrich Nietzsche
Context
For most people, watching movies is a pastime they enjoy for the entertainment value, but for the movie creators it is sometimes an opportunity to express their ideas about an issue or a number of different issues in a society. When most people watch a movie, they tend to focus on the surface meaning behind the ideas and scenes, but more often than not there is a deeper meaning that can be found in any movie if we look deeply enough. In some movies, this hidden meaning may be intentional; in others, it is identified as a result of finding patterns that even the movie creator was not aware existed. This is because people interpret events and ideas through different lenses, or perspectives, and what they see (or not see) is sometimes determined by their own life experiences and ideas about the world.
DescriptionFor this assignment, you will write a paper that informs readers about a common way of understanding a film as well as a different, more surprising way of understanding that text. In other words, you will explain two ways of making sense of a visual text, and analyze it to show evidence of the surprising interpretation.
This paper highlights the factor of tension—the existence of two quite different ways of making sense of a text. You will need to summarize those different ways of interpreting the text and then explain in detail how the second way extends or complicates the first. Recognizing more than one interpretation is a crucial skill for different kinds of academic assignments you will be asked to write in other courses.
Learning Objectives
Through this writing project, you will:
Produce an effective summary.
Complete a critical reading and analysis of the chosen text.
Demonstrate effective integration and appropriate documentation of ideas from secondary source
Communicate original analysis of a text and generate new insight
Audience
Think of your audience as people who are well versed in film and television, but mainly they are consumers, not interpreters, of pop culture. Your goal is to help these readers re-see the film, a show, or a commercial.
