Math Modeling For Economics

Modeling is crucial in economics because it is used in place of the real experiments that could be expensive, time consuming, and dangerous. Mathematical models describe situations with a few words using tools and theorems for making general statements. Here, the focus is on how to explicitly state assumptions with a clear and precise ease of making multi dimensionality descriptions.Advertising We will write a custom essay sample on Math Modeling For Economics specifically for you for only $16.05 $11/page Learn More In economics different mathematical models have been developed to address certain market trends and behaviors such as demand and supply with time. One such is the models related to competitive markets. The product demand and supply and price changes are dynamic aspects of the system and can be modeled through a differential equation with a constant solution referred to as the equilibrium of the equation. Here, x(t) = f (x) (equilibrium equati on)- definition Based on the above definition, the linear differential equation can be expressed as: x + u (t) = w (t) In this case, w (t) and u (t) are functions of t in the above expression. The homogeneous case here is u (t) =a and w (t) =0 giving the solution for the differential expression: x + ax =0 as x (t) =Ae-at. In this case A is taken as an arbitrary constant. The case for a non-homogeneous situation is x + ax = b where b≠ 0 and a =0,as solution is x (t) =bt +A providing a solution with known initial state x(0) as given by:Advertising Looking for essay on business economics? Let's see if we can help you! Get your first paper with 15% OFF Learn More x (t) = {x(0)-b/a} e-at +b/a A typical example is the demand and supply mentioned in the above scenario. The dynamics of a price of a single commodity is considered. The demand and supply function is stated as below: Qd=a1-b1P, Qs=a2-b2P, both satisfy the condition aj, bj0. In the above expressions, Qd and Q s are respective values for the demand and supply for the given price P within the parameters aj and bj. If the price changes are taken with the changes in time t, excess demand proportional to the time t is Qd– Qs expressed as P (t) =m (((Qd (t) – Qs (t))), where m0 When substituted: P (t) + m (b1+b2) P = m (a1+a2) giving the solution shown here:Advertising We will write a custom essay sample on Math Modeling For Economics specifically for you for only $16.05 $11/page Learn More In this case Satisfying the general case: In this case, the problem related to the above model is demand and supply of a product and its effect on price with time illustrated as x (t) = f (x). This essay on Math Modeling For Economics was written and submitted by user Ellen Sharpe to help you with your own studies. You are free to use it for research and reference purposes in order to write your own paper; however, you must cite it accordingly. You can donate your paper here.

Directions for a Child Meteorologists Workstation

Directions for a Child Meteorologist's Workstation A home weather station can entertain your kids regardless of the season. Theyll also learn about weather patterns and the science behind sunny skies and rainy days. The more fun you make your home weather station activities, the more your kids will engross themselves in this fun learning activity. They wont even realize theyre learning as they tackle this science experiment for kids of all ages while the whole family gauges the weather together Rain Gauge No home weather station would be complete without a rain gauge. Your kids can measure everything from the amount of rain thats fallen to how much snow has accumulated. You can buy a rain gauge or its easy enough to make your own. Your most basic rain gauge is to simply put a jar outside, let it collect rain or snow and then stick a ruler inside to see how high the precipitation reaches. Barometer A barometer measures air pressure. Monitoring the changes in air pressure is one way to make predictions about the forecast. The most common barometers are Mercury Barometers or Aneroid Barometers.   Hygrometer A hygrometer measures the relative humidity in the air. Its an important tool in helping forecasters predict the weather. You can buy a hygrometer for about $5. Weather Vane Record the winds direction with a weather vane. The weather vane swivels when the wind blows to show you the direction the breeze is coming from so your kids can record it. Kids can also learn if the wind is blowing north, south, east or west with a weather vane in their home weather station. Anemometer While the weather vane measures the direction the wind is blowing, an anemometer measures the winds speed. Make your own anemometer with items you can find at a hardware store. Use your new anemometer with the weather vane to record wind direction and speed. Windsock A windsock is a more simple way to identify wind direction and speed as opposed to solely using a weather vane and anemometer. Its also fun for kids to watch the sock fly in the wind. Make your own windsock out of a shirt sleeve or pant leg. Your windsock can be flying in about an hour. Compass Even if your weather vane has the N, S, W and E points of direction, kids love holding a compass in their hands. A compass can help kids identify wind direction, which way the clouds are rolling in and can also teach kids how to navigate. Be sure the kids know the compass is for the weather station only. Compasses are an easy buy so if you think your compass will end up on a childs bike or in their backpack instead of staying with the weather station, pick up a few so you can always have one in place. Weather Journal A kids weather journal can have basic information within its pages or be as detailed as you want. Younger children can draw a picture of a sunshine and the letter to mark the winds direction. Older children can record the date, todays weather, wind speed, direction, humidity levels and make weather predictions based on their findings.

Pick A Team Coursework Example | Topics and Well Written Essays - 500 words

Pick A Team - Coursework Example This organization maintains mainly three websites named as â€Å"The red Cross Website†, â€Å"The History of The Red Cross†, and â€Å"The Clara Barton National Historic Site†. The Chairman of Board of governors is responsible for the operation of ARC in United States, and US president is the honorary chairman of the Red Cross. The most attractive feature of American Red Cross is that it offers services to beneficiaries without any discrimination on the basis of nationality, sex, race, economical class, religious beliefs, or political opinions (ICRC, 1996). The ARC is governed by volunteers and funded by community donations. In addition, income from health and safety products and blood products also add to the operating funds of the ARC. The major characteristic feature of this organization is that it is a nationwide network having more than 650 chapters and 36 blood services divisions which are fully dedicated to people in need (Community Resources Guide). ARC has millions of volunteers who are always ready to dedicate their services to disaster relief and they are the absolute assets of the organization. ARC’s main areas of focus include community services, communication services for military members, collection and distribution of blood products, educational programs, and international relief and welfare programs.

Consideration In Total Quality Environment Essay

Consideration In Total Quality Environment - Essay Example Consideration in a total quality environment is to take care of all employees. It is the duty of the leaders to take care of the needs of their subordinates and to keep them motivated at all levels of management. Consideration is considered very important as it is the key to keep up the spirits of the employees and makes them loyal to the organization. Giving employees a sense of belonging to the organization is very crucial in increasing productivity which in turn increases the sales and profit margins gradually (Gupta & Valarmathi, 178). For this very reason many scholars have formed various models in order to retrench employee motivation through extended consideration like the Maslow’s hierarchy of needs theory and Fredrick Herzberg’s motivator – hygiene factors theory. Consideration in the context of Total quality management needs to be implemented at all levels as in total quality control environments the quality of the productivity of all employees has to be in good health and furthermore enhanced. Consideration is not only to take care of employees needs but it also deals with providing them with a vision to work towards as without a given direction employees tend to feel alienated from the organization. To keep employees productive and satisfied they should not only be given monetary benefits but also a set of goals and tasks that have to be accomplished within a given amount of time. This helps the employees to be satisfied with their job as they feel that they are linked with the foremost working aspects of the organization (Wu?stenhagen, 228). Therefore consideration is one of the core elements in total quality management as without proper employee consideration leadership and management an organization will not be able to succeed the qualit y of its productivity, its services and its organization and/or production processes. Consideration is now given a priority even in the organizations which are far from the total quality concept as employees are the backbone and without a strong backbone an organization cannot succeed (Total Quality Management, 312). INITIATING STRUCTURE Initiating structure is to organize the order in which information flows within the levels of the organization and the accountability of an employee to its superior, in simpler context it means getting people organized. It is also the way in which a leader sets and creates expectations for their subordinates and holds the employees accountable. Organizational structure is very important as it is responsible for a smooth flow of decisions, duties, goals and information from the up to downstream of employees. All activities are allocated in the best way to achieve the strategies and objectives of the organization. Initiating structure is to lay down a foundation of operating procedures on which routine tasks are placed and organized. It also helps to define the importance of one individual over another through their position in the organization and also decides which individuals in the organization are responsible for decision making processes. Without a definite structure an organization is more likely to break apart. In a total quality environment it is important to see if the structure of the organization is prominent enough to give the employees a direction and understanding of how things are carried out and how tasks are performed. A lack in the initiation of structure will result in ambiguity of tasks and actions of the employees, noise in the information flow and eventually directly affect the productivity of all employees. Total quality management refers to the improvement of all aspects of the organization to improve productivity on the whole and so without proper initiation of structure the total quality management pri nciple holds no value. CONCLUSION There are two types of leaders one who give importance to consideration and others who consider initiation of structure more important than consideration. Moreover, in several research

The Production Function for Buses - Edgeworth Box Assignment

The Production Function for Buses - Edgeworth Box - Assignment Example Our function will reproduce increasing returns to scale. This means that with an accumulation of production factors volume of produced goods will grow. To find a number of buses with every combination of production factors, it is necessary to substitute each number of employees and the number of machines for K and L indicators. Hence, if a number of machines are 14 and number of employees who make buses is 5, the calculation of production output will be the following: In accordance with above example, we can calculate all the rest level of production. (K=10, L=3): (K=8, L=1): etc. From the table, we can also see that in accordance with the accumulation of employees, the number of produced buses grows. Part (B) Make an ‘Edgeworth box’ diagram for the production of buses in Utropica: put the number of employees making buses on the horizontal axis (0 to 6), and a number of machines used to make buses on the vertical axis (0 to 16). Draw an isoquant line for 5 buses. On the same diagram, add an isoquant for 7 buses, and an isoquant for 10 buses. To draw an ‘Edgeworth box’ diagram for the production of a specific number of buses, it is required to find all combinations of factors that are able to create the stated level of production. Hence, using a table above, it can be seen that 5 buses can be produced by 10 machines and 1 employee or 8 machines and 2 employees. So there are several alternatives for this output. Consequently, finding all possible combinations, we receive points that will form the isoquant line on the diagram. Using the same method, we find combinations of the factors for producing 7 buses.

Fast Food: Effects and Implications

Fast Food: Effects and Implications Any food that has poor nutritional value is considered unhealthy and may be called Fast Food. A food that is high in fat and sodium is known as fast food. It is easy to carry, purchase and consume. Generally, fast food is given a very attractive appearance by adding colors to enhance flavor, texture and appearance. It has high level of calories. Fast food is also known as junk food, processed food, and ready-meals. They are zero in nutritional value. They have only fats lying in it causing ill effects on the health of the consumer. The taste is the most attractive feature in fast foods. And once children are in a restaurant, unhealthy foods overshadow healthy ones on the menu. In most cases, unhealthy food such as French fries automatically come as sides with a meal, rather than the more healthy options, such as apples, that are shown in commercials. Their contents are rich in sodium salts and fats which provide high calories yet useless in value. A quick look at fast food tells us f ast food and diet does not go hand in hand. Perhaps this is the reason why fast foods are also called as empty calorie foods. Nevertheless, junk foods are popular because of their simplicity to manufacture, consume and of course, their taste. People have their own notions about a certain food being listed as fast food. However, chocolates, burgers, pizzas, potato wafers and fries will surely find their way in to everyones list. The habit of taking in fast food is seen particularly with children, teenage and young adult and in the long run it can tell on their health. The main factor that attracts people to eat fast food is their taste. Their taste must be substituted with food that is cooked well and delicious, but at the same time healthy for the body while intake eating salad and fruits must be taken up and even increased. Remember, fast foods are empty calories. An empty calorie lacks in micro-nutrients such as vitamins, minerals, but has high energy (calories). In order to know the impact of fast food, a simple questionnaire has been prepared. The students-group has selected the respondents of teenagers particularly undergraduates, both male and female. Some of them are habituated, where as some they have suffered a lot. The article is based on, face to face interaction. Thus, in general, it is the study of 1000 respondents and in particular, a sample of a group of 30 respondents and based on both primary and secondary sources of information. Following are the significant observations from the information provided by the respondents. Most of the respondents are aware about the ingredients used in fast food which they purchase from the nearby stalls, hotels, restaurants, canteens tec. The fast food experiences by the respondents include burgers. Respondents prefer burgers over pizza. They opinioned that it is different from daily food, tasty and economical. They said that they are attracted towards fast food through advertisements, convinced by the friend. They experienced that the fast food is harmful for the health of human being. As fast foods dont provide you with essential nutrients, even though they can be very much sufficient, you feel weakened. Children given more fast food meals will grow up to have a lower IQ than those who regularly eat freshly-cooked meals. Parents with a higher status gave their children meals prepared with fresh ingredients more often, which positively affected their IQ. Survey found more than 70% of children take fast food at lunch time. When you have a junk meal rich in oil you feel drowsy and fail to concentrate. Fast food is very tasty and no one goes by not noticing it and wanting to bite into it. Resisting fast food is difficult, but with age, taking in fast food is something to be desisted as they do not have a healthy effect on the body. Human food gets food but not healthy food. Fast food causes weight loss. People who are obesity are those who have a preference for fast food. Fast food actually fastens the effects of aging. People show signs of old age faster because of continuously eating fast food. Fast food and its ill effects on health are plenty. Be it obesity, diabetes, heart problems or any other disorders, it is now a well known fact that regular consumption of fast food can have serious ill effects on a persons health. Do not let children to get habituated to fast foods. Fast food, the name itself is tempting enough. Eliminating the temptation is one way to avoid it. Keeping good food nearby and having meals right on time may help in this direction. Preference should be given to the traditional and home-made food. From the study, it may be concluded that the fast food are not suitable to the health of students. People eat fast food because they dont have time to cook but on the same hand they also thought that no item can replace homemade items. At the end we can say, Fast Food may be making children fatter and unhealthy but they also make them happy.

Sri Lanka :: Politics, Sinhalese Majority

Obtaining true Independence for Sri Lanka as a nation from the British was a long struggle which began in 1915 due to a rivalry between the Sri Lankan Muslims and the Sinhalese Majority over commercial interests which led to a riot in Colombo, the administrative capital of what is then known to the world as Ceylon (Corporation, 2008). The British, in response to the riots among the Ceylonese and the Muslims, placed the sole blame of these riots on the Sinhalese and implemented strict punishments on the Sinhalese showing (IrÄ manÃŒ ²Ã„ tanÃŒ ², 1916). As a result anti British feelings began to increase among the Sinhalese majority, and an intense interest was placed in needing to be an independent nation (Corporation, 2008). However, it was just a work in progress until the LSSP Sri Lanka Socialist movement founded in 1935 demanded that the nation be freed from the British and the administrative language of English be replaced with Sinhala and Tamil (Tambiah S. J., 1992). However, the plan of Sri Lanka being an independent nation which addressed the needs of all ethnic groups of the nation, despite starting as a collectivist ideology soon began to deteriorate upon obtaining the long waited freedom in February 1948. This was due to the post colonial separatist mentality (LePoer, 2002). Additionally following the independence, vital questions as the citizenship concerns of Sri Lanka’s up country Indian Tamils and the National Language concerns were not addressed (Roberts, 1994). Furthermore when these questions were addressed during the S.L.F.P rule from 1956-1965 the methods used in addressing these imperative problems which gave the minorities of Sri Lanka their individual identity was slanted toward the Sinhala majority (Hennayake, 2006, pp. 76-91). Considering the fact that an ethnic identity in a nation being a result of long preserved traditions followed by a set of people, when combined as a state with multiple ethnic identities will possibly result in a conflict of interests. Furthermore, as mentioned by Authors David Lake and Donald Rothchild, in most cases, the small minority will adopt to the Majority but when considering a substantial seize minority it becomes hard to adopt in such manner (Lake & Rothchild, 1998, p. 48). This being the case of the Sri Lankan Tamils who is a large minority in comparison to other groups, and having key administrative roles during the colonial era began to protest on the new Sri Lankan legislation as the â€Å"Sinhala Only Act† (Tambiah S.