Free Essay

How to Use Solver Spanish

In:

Submitted By ablancob
Words 1383
Pages 6
Instrucciones de EXCEL Solver

Octubre de 2000

2
La opción Solver de EXCEL sirve para resolver problemas de optimización lineal y no lineal; también se pueden indicar restricciones enteras sobre las variables de decisión. Con Solver es posible resolver problemas que tengan hasta 200 variables de decisión, 100 restricciones explícitas y 400 simples (cotas superior e inferior o restricciones enteras sobre las variables de decisión). Para acceder a Solver, seleccione Tools en el menú principal y luego Solver. La ventana con los parámetros de Solver aparecerá tal y como se muestra a continuación:

3

Cuadro de diálogo de los parámetros de Solver
La ventana Solver Parameters se utiliza para describir el problema de optimización a EXCEL. El campo Set Target Cell contiene la celda donde se encuentra la función objetiva correspondiente al problema en cuestión. Si desea hallar el máximo o el mínimo, seleccione Max o Min. Si la casilla Value of está seleccionada, Solver tratará de hallar un valor de la celda igual al valor del campo que se encuentra a la derecha de la selección. El cuadro de diálogo By Changing Cells contendrá la ubicación de las variables de decisión para el problema. Por último, las restricciones se deben especificar en el campo Subject to the Constraints haciendo clic en Add. El botón Change permite modificar las restricciones recién introducidas y Delete sirve para borrar las restricciones precedentes. Reset All borra el problema en curso y restablece todos los parámetros a sus valores por defecto. Con el botón Options se accede a las opciones de Solver (ver más adelante). El botón Guess carece de interés para nuestros fines y no se tratará en estas instrucciones. A continuación, y para mayor claridad, se señalan las partes más importantes del cuadro de diálogo de los parámetros de Solver.

4

Al hacer clic en el botón Add, aparece la ventana Add Constraint.

Si hace clic en el campo Cell Reference podrá especificar la ubicación de una celda (por lo general, una celda con una fórmula). Introduzca el tipo de restricción haciendo clic en la flecha del campo central desplegable (=, =, int, donde int se refiere a un número entero, o bin, donde bin se refiere a binario). El campo Constraint puede llevar una fórmula de celdas, una simple referencia a una celda o un valor numérico. El botón Add añade la restricción especificada al modelo existente y vuelve a la ventana Add Constraint. El botón OK añade la restricción al modelo y vuelve a la ventana Solver

5
Dialog. Nota: Solver no asume la no negatividad de las variables de decisión. En la ventana de opciones puede especificar que las variables han de ser no negativas.

Si en la ventana de los parámetros de Solver hacemos clic en el botón Options, aparece la ventana siguiente:

Max Time permite especificar el número de segundos antes de que Solver se detenga. El campo Iterations, al igual que el campo anterior, permite especificar el número máximo de iteraciones (pasos del algoritmo solver) antes de que el programa se detenga. Precision es el grado de exactitud del algoritmo solver (por ejemplo, lo cerca que tiene que estar el valor del lado derecho de una restricción antes de que se considere igual al lado izquierdo). El campo Tolerance se utiliza para programas enteros. Especifica un porcentaje dentro del cual se garantiza la optimalidad de la solución. Si intenta hallar la solución óptima, ponga el valor cero en este campo, aunque tal vez desee establecer un valor más alto si el tiempo de ejecución es demasiado largo (siempre que le interese aceptar una solución dentro de ese porcentaje de optimalidad). Si su modelo es un programa lineal o un programa entero lineal, le aconsejamos que seleccione la casilla Assume Linear Model. De este modo, el programa utiliza el algoritmo simplex en lugar de un algoritmo no lineal más largo y complicado (Generalized Reduced

6
Gradient Meted). Seleccione la casilla Assume Non-Negative si desea que todos los valores de las celdas cambiantes sean ≥ 0. Seleccione Show Iterations Results si le interesa ver la información iteración por iteración (esto ralentiza mucho el tiempo de procesamiento). Use Automatic Scaling es útil si el modelo que utiliza tiene una escala defectuosa (si las entradas son de órdenes de magnitud completamente diferentes). Por último, la parte inferior de la ventana contiene las opciones para el algoritmo no lineal, a saber, cómo calcula la no linealidad, cómo se calculan las tasas de cambio y el tipo de técnica de búsqueda empleado. En términos generales, los valores por defecto de la mayoría de estos parámetros son perfectamente válidos. Es importante acordarse de seleccionar Assume Linear Model si se trata de un programa lineal o un programa lineal entero. Seleccione la casilla Assume NonNegativity si desea que las celdas cambiantes adopten sólo valores no negativos. Del mismo modo, si intenta obtener la solución óptima de un programa entero, no olvide establecer un 0% en el campo Tolerance.

Un ejemplo: la empresa Colorado Cattle Company1 La empresa Colorado Cattle Company (CCC) puede comprar tres tipos de ingredientes alimentarios sin procesar a un distribuidor mayorista. El ganado de la empresa tiene ciertas necesidades alimenticias con respecto a las grasas, proteínas, calcio y hierro. Cada vaca requiere al menos 10 unidades de calcio, no más de 7,5 unidades de grasa, al menos 12 unidades de hierro y al menos 15 unidades de proteína al día. La tabla siguiente indica la cantidad de grasa, proteína, calcio y hierro por cada libra de los tres ingredientes

Este problema se extrajo de Camm, J.D. y Evans, J.R., Management Science, Modeling , Analysis, and Interpretation, South-Western Publishing Co., Cincinnati, Ohio, 1996.

1

7 alimentarios. El alimento de grado 1 cuesta 0,25 dólares; el de grado 2, 0,10 dólares; y el de grado 3, 0, 08 por libra. El ganado se puede alimentar con una mezcla de los tres tipos de alimento sin procesar. CCC está interesada en alimentar al ganado del modo más barato posible. -------------------------------------------------------------------------------------------------------------Datos de Colorado Cattle Company Ingredientes alimentarios (Unidades por libra) Grado 1 Calcio Hierro Proteínas Grasa 0,7 0,9 0,8 0,5 Grado 2 0,8 0,8 1,5 0,6 Grado 3 0 0,8 0,9 0,4

------------------------------------------------------------------------------------------------------------------A continuación se formula el modelo de programación lineal del problema: Sea grado 1 = cantidad diaria (en libras) de grado 1 utilizada en alimentar una vaca grado 2 = cantidad diaria (en libras) de grado 2 utilizada en alimentar una vaca grado 3 = cantidad diaria (en libras) de grado 1 utilizada en alimentar una vaca

Minimizar 0,25 grado 1 + 0,1 grado 2 + 0,08 grado 3 sujeto a 0,7 grado 1 + 0,8 grado 2 + 0 grado 3 ≥10 0,9 grado 1 + 0,8 grado 2 + 0,8 grado 3 ≥ 12 0,8 grado 1 + 1,5 grado 2 + 0,9 grado 3 ≥ 15 (Calcio) (Hierro) (Proteínas)

8
0,5 grado 1 + 0,6 grado 2 + 0,4 grado 3 ≤ 7,5 grado 1, grado 2, grado 3 ≥ 0 A continuación se muestra una hoja EXCEL con el modelo de este escenario: (Grasa)

Las fórmulas de celda en esta hoja todas tienen lugar en la sección Model Outputs (esto es, restricciones).

9

La función SUMPRODUCT lleva a cabo el producto escalar. Por ejemplo, la cantidad de calcio utilizada es SUMPRODUCT(B7:D7,B15:D15) = ( B7*B15 + C7*C15 + D7*D15 ). Siga los siguientes pasos para crear el modelo de PL que se muestra más abajo: 1. 2. 3. 4. Vaya a Tools - Solver. Haga clic en el campo Set Target Cell y escriba B26. Haga clic en Min. Haga clic en el campo By Changing Cells y, en la hoja de cálculo, haga clic y arrastre el ratón de B15 a D15 (o escriba B15:D15). Haga clic en el botón Add para acceder a la ventana Add Constraint. Para introducir las restricciones necesarias mínimas: haga clic en Cell Reference e introduzca B20:B22, seleccione el tipo >= y, a continuación, vaya al campo Constraint e introduzca F7:F9. Haga clic en Add. Para introducir las restricciones máximas permitidas: haga clic en Cell Reference e introduzca B24, seleccione el tipo =$F$7 Obligatorio 12 $B$21>=$F$8 Obligatorio 15,1 $B$22>=$F$9 Opcional 7,5 $B$24

Similar Documents

Premium Essay

Persuasive Speech: Spanish For The Future

...Spanish for the Future Specific Purpose Statement: To persuade my classmates to further their knowledge of the Spanish Language and Culture by enrolling in their first Spanish class or another one. Central Idea: To make my classmates realize all the benefits of enrolling in Spanish classes. INTRODUCTION 1. Gain the attention and interest of the listener/s: (“Attention” of Monroe’s Sequence) When I was in seventh grade, I enrolled in my first Spanish class. All I thought was, “Wow this class is a pain in my butt, it is so hard, and what is the point?” After nine years of studying this language and culture, my feelings have not changed, but I have discovered “the point” of learning Spanish. 2. Reveal the topic: I understand the negative feelings that you may feel about taking a Spanish class, but being a college student is all about pushing your limits, reaching your greatest potential, and...

Words: 1137 - Pages: 5

Premium Essay

Creativity and Management

...Gifted Education International 1993 Vol. 9, pp. 68-77 © 1993 A B Academic Publishers C. June Maker, The University of Arizona, USA creativity, intelligence, and problem solving: a defmition and design for cross-cultural research and measurement related to giftedness Abstract A new definition of giftedness is proposed based on a review of the constructs of intelligence, creativity, and problem solving. A research design employed in a series of studi~s of giftedness in children and adults is presented, along w1th a summary of important results. Finally, implications of the design for both research and practice are outlined. Intelligence A central concept in many theories and definitions of intelligence is solving problems or adaptation to one's environment. Although the phrase "problem solving" is not always found, the concept of "adaptation" or "ability to adapt", a central concept in many definitions (Binet & Simon, 1909 (cited in Terman, 1916); Boynton, 1933; Colvin, 1921; French, 1962; Piaget, 1981; Pintner, 1921; Stern, 1914; Wechsler, 1941 ), implies that individuals encounter situations (problems) to which they must devise ways of reacting. Thus, they are solving problems. Later theorists and researchers revised these general concepts of "adaptation" by adding the idea of adapting to the cultural as well as the biological environment (Laboratory of Comparative Human Cognition, 1982_; Goodnow, 1976; Charlesworth, 1976; Olson, 1976; Ne1sser...

Words: 9926 - Pages: 40

Premium Essay

Adaption Innovation Theory Overview

...AdaptionInnovation Inventory (KAI) to readers not familiar with this subject. It will explain the origins of both, the theory and the psychometric instrument and give an overview of the core concepts of the theory. It will also discuss the contributions of A-I and KAI to management practice and explore its current use in organizations for improving team’s problem solving. Introduction In a world of complex and diverse problems, where change is constant, which is better: Adaption or Innovation? Following the current trend we probably should choose innovation betting it will solve most of the problems. However, accordingly to Kirton (2003), which is better depends on the problem-solving context. The current trend underplays adaption and ignores all creative solutions that come from “doing things better” (Kirton, 2003 p.55). Adaption-Innovation theory (A-I from now on) proposes that a diversity of problem solvers (“more adaptive” to “more innovative”) is required to solve a diversity of problems. Not only innovators are creative and capable of bring about change. This approach is a different view, or a “complete reformation” (Foxall, in Kirton, 2003, bookcover) of how creativity has been conceived. In our view, part of this “reformation” comes from the restoration of terms such as creativity and innovation, as Kirton’s work offered conceptual clarity to the field. For example, in the creativity literature, as well as in the current management...

Words: 7053 - Pages: 29

Free Essay

Reading

...5 Reading, Writing, and Speaking in Mathematics As teachers of mathematics, we sometimes forget that the words and phrases that are familiar to us are foreign to our students. Students need to master this language if they are to read, under­ stand, and discuss mathematical ideas. -Thompson & Rubenstein Thompson and Rubenstein were referring to the issue of language and mathematics learning in mainstream classrooms. They state vocabulary or the fluent use of terminology is a necessary condition for overall mathematics achievement. If the learning of mathematics is highly dependent on its language and the teaching of math vocabulary is crucial, it is doubly so for ELLs. English language learners in secondary schools should have many opportunities to communicate their mathematical ideas and questions. Talking and writing about their mathematical thinking helps ELLs build word knowledge and oral expression and clarify their thinking. Discussions with the teacher or peers are also useful monitoring tools for teachers. Through listening and recording student conversations and peer problem solving, teachers can monitor individual student progress. Mathematics is no longer viewed as isolated, individualistic, or competitive. Mathematics problems are ideally suited to cooperative group discussions because they have solutions that can be objectively demonstrated. Students can persuade one another by the logic of their arguments. Mathematics problems can often be solved by several...

Words: 3416 - Pages: 14

Premium Essay

Capital Structure of Sme Sector in Bangladesh

...Banks∗ Estelle Brack†and Ramona Jimborean‡ First Draft: September 2008 This Version: April 2009 Abstract The paper addresses the issue of French banks efficiency, compared to their homologous from Europe and the United States. The analysis is realized on a sample formed by the ten biggest banks from France, Germany, Italy, Spain, the United Kingdom and the United States, over the period 1994-2006. The Data Envelopment Analysis (DEA) method is employed. The results show an improvement in cost-efficiency of French and Spanish banks, while in the other countries a decline in cost-efficiency is noted. We proceed to several tests of convergence, showing that inefficient banks have reduced the gap during the period 1994-2006. In a second step analysis, we focus on the factors standing behind the efficiency scores obtained through DEA methodology. These are bank-specific variables, the macro environment, the regulatory regime and the non-bank financial sector development. We use a standard censured Tobit model and show that capitalized, newly established banks, with tighter ratios of Tier 1 capital and operating in a country with a lower GDP per capita record the highest cost-efficiency scores. JEL Classification: C14, C6, D24, G21, L25 Keywords: Cost-efficiency; Banking systems; Data envelopment analysis The authors gratefully acknowledge Serge Oppenchaim, C´line Choulet, Guillaume Guidoni and Julien e Geffroy for their contribution to this work. The views expressed in this paper are those...

Words: 14183 - Pages: 57

Premium Essay

The Effects of Study Habit on the Academic Performance of Students: a Case Study of Some Secondary Schools in Ogun State.

...Philosophical Perspectives in Education Educational Philosophies Within the epistemological frame that focuses on the nature of knowledge and how we come to know, there are four major educational philosophies, each related to one or more of the general or world philosophies just discussed. These educational philosophical approaches are currently used in classrooms the world over. They are Perennialism, Essentialism, Progressivism, and Reconstructionism. These educational philosophies focus heavily on WHAT we should teach the curriculum aspect. Perennialism For Perennialists, the aim of education is to ensure that students acquire understandings about the great ideas of Western civilization. These ideas have the potential for solving problems in any era. The focus is to teach ideas that are everlasting, to seek enduring truths which are constant, not changing, as the natural and human worlds at their most essential level, do not change. Teaching these unchanging principles is critical. Humans are rational beings, and their minds need to be developed. Thus, cultivation of the intellect is the highest priority in a worthwhile education. The demanding curriculum focuses on attaining cultural literacy, stressing students' growth in enduring disciplines. The loftiest accomplishments of humankind are emphasized– the great works of literature and art, the laws or principles of science. Advocates of this educational philosophy are Robert Maynard Hutchins who developed a Great Books...

Words: 2181 - Pages: 9

Premium Essay

A Stochastic Approach to Indian Banking Sector : Technical Analysis of Private Sector Banks

...A Stochastic Approach to Indian Banking Sector : Technical Analysis of Private Sector Banks Dr. Rahul Rajan Abhilasha Srivastava Abstract The objective of this paper is to present a method for estimating the cost efficiency of Indian banks in order to study the degree of technical and cost performance of the Indian banking sector and to analyze how the banking sector has been affected by technical efficiency and cost efficiency. Initially, the evolution in the technical front in the banks between 2005 to 2012 is measured. For this analysis purpose a sample of 101 Indian banks including 28 public ,29 private and 44 foreign banks operating in India is taken for the period 2005-2012. For analysis purpose both the parametric method of productive efficiency frontier (Stochastic Frontier Analysis ) and nonparametric method (Data Envelopment Analysis) are taken. Introduction The financial system is the lifeline of the economy. The changes in the economy get mirrored in the performance of the financial system, more so of the banking industry. The banking system in India is significantly different from that of other Asian nations because of the country’s unique geographic, social, and economic characteristics. India has a large population and land size, a diverse culture, and extreme disparities in income, which are marked among its regions. There are high levels of illiteracy among a large percentage of its population but, at the same time, the country has a large reservoir...

Words: 5433 - Pages: 22

Premium Essay

Artificial Intelligence

...Artifical Intellegence Charles Perry INF103 Computer Literacy June 18th, 2012 Christopher Powell Artificial Intelligence AI is defined as the ability of a computer or machine to think for itself, and mimicking the thought processes a human might have only smarter. The idea that a computer has the ability to react more intelligently than a human being has fascinated us for several centuries. There are thoughts of robotic red blood cells to create a scientifically generated longer life span or the ability to conquer certain disease.[1] Although there have been major advancements in AI and technology in this century that we never dreamed possible, we have yet to prove that science and engineering have the ability to become smarter than the human brain. Evidence of A.I. is said to be traced back to ancient Egypt but the ability to create machine intelligence was not developed until 1941 with the first electronic computer in 1955, Newell and Simon developed The Logic Theorist.[2] The Logic Theorist was a program that demonstrated problems as a tree and would attempt to solve them by choosing the best possible solution, based on each branch of the tree. It was in 1956 when the term “Artificial Intelligence” was first coined at the Dartmouth conference, where the proposed 2 month, 10-man study of AI would be carried out.   The conference, in which John McCarthy called upon the leading researchers to discuss topics which were such a new topic to the imagination...

Words: 2933 - Pages: 12

Premium Essay

About Me

...using computers to understand human intelligence, but Artificial Intelligence does not have to confine itself to methods that are biologically observable. Intelligence is basically the computation part of the ability to achieve goals in the world varying kinds and degrees of intelligence occur in people, many animals and some machines. There is no solid definition of intelligence relating it to human intelligence. The problem is that it cannot yet be characterize in general what kinds of computational procedures can be called intelligent. We understand some of the mechanisms of intelligence and not others. Sometimes Artificial Intelligence is about simulating human intelligence but not always. On the one hand, we can learn something about how to make machines solve problems by observing other people or just by observing our own methods. On the other hand most work in Artificial Intelligence involves studying the problems the world presents to intelligence rather than studying people or animals. Artificial Intelligence textbooks define the field as “the study and design of intelligent agents” where an intelligent agent is a system that perceives its environment and takes actions that maximize its chances of success. Artificial Intelligence is defined as the ability of a computer or machine to think for itself, and mimicking the thought processes a human might have only smarter. The idea that a computer has the...

Words: 2999 - Pages: 12

Free Essay

Term Papaer

...How to Write a Term Paper or Thesis Michael A. Covington Artificial Intelligence Center The University of Georgia Athens, Georgia 30602 http://www.ai.uga.edu/mc Revised May 11, 2011 Abstract This is a basic style guide for writing scientific papers under my direction. It was written for internal use in the Artificial Intelligence Center. However, other science departments may find it helpful. You are encouraged to share it with colleagues. 1 What is a term paper or thesis? In the Middle Ages, in order to be admitted to a trade guild, a craftsman had to demonstrate his ability by producing a piece of work, called his masterpiece, for examination by the officers of the guild. He was then granted the title of Master of his trade. When universities were founded, they immediately emulated this practice and began to grant the degrees of Master and Doctor to people who had proved their ability to do scholarly work. A thesis or dissertation today serves the same purpose as a medieval craftsman’s masterpiece. It is proof of ability to do a certain kind of work. Specifically: • To get a doctor’s degree, you must become familiar with current scientific knowledge of your subject, add to this knowledge by making an original discovery, and then report the results in a dissertation. 1 • To get a master’s degree, it is sufficient to make a new synthesis or application of knowledge already available, and report the results in a thesis. • To pass certain courses, you must write a term paper...

Words: 5028 - Pages: 21

Free Essay

Term Paper

...How to Write a Term Paper or Thesis Michael A. Covington Artificial Intelligence Center The University of Georgia Athens, Georgia 30602 http://www.ai.uga.edu/mc Revised May 11, 2011 Abstract This is a basic style guide for writing scientific papers under my direction. It was written for internal use in the Artificial Intelligence Center. However, other science departments may find it helpful. You are encouraged to share it with colleagues. 1 What is a term paper or thesis? In the Middle Ages, in order to be admitted to a trade guild, a craftsman had to demonstrate his ability by producing a piece of work, called his masterpiece, for examination by the officers of the guild. He was then granted the title of Master of his trade. When universities were founded, they immediately emulated this practice and began to grant the degrees of Master and Doctor to people who had proved their ability to do scholarly work. A thesis or dissertation today serves the same purpose as a medieval craftsman’s masterpiece. It is proof of ability to do a certain kind of work. Specifically: • To get a doctor’s degree, you must become familiar with current scientific knowledge of your subject, add to this knowledge by making an original discovery, and then report the results in a dissertation. 1 • To get a master’s degree, it is sufficient to make a new synthesis or application of knowledge already available, and report the results in a thesis. • To pass certain courses, you must write a term paper...

Words: 5028 - Pages: 21

Premium Essay

Teaching Portfolio

...To Whom It May Concern: I am writing in regards to a high school position at your school I believe that my enthusiasm for Social Studies, students and learning would make me an excellent candidate for this position. I believe as educators we are ourselves are constantly learning what works and what doesn’t work by our diverse students and it is essential as teachers to keep in mind the needs of each and every one of our students. I am confident that my lesson plans and curriculum are designed to fit the requirements of the New York State Standards and the Common Core, which also reflects my contribution as a teacher to the classroom. I have a strong understanding of student development and have been consistently recognized by my cooperating teacher and her administrators for the relationships I create with my students in conjunction to the functionality of the classroom. My purpose in the classroom is to create a free space where students can engage in critical thinking, making inferences and supporting their ideas and opinions with primary and secondary sources. I believe it is important to utilize up to date pieces of information to engross the student’s attention and participation in the classroom. Being that our students are technologically savvy I also believe it is important to incorporate technology into lesson planning. I am also fluent in Greek and am to communicate with students and parents from Greek-speaking households in hopes to promote their parents...

Words: 18748 - Pages: 75

Free Essay

City of Livonia

...Michigan Columbus Credit Union Lisa Flanigan Courtney Johnson Mary Smith-Biles Todd Buchanan Madonna University MKT 6210 Table of Contents Introduction Page 3 Brand Building Page 8 The Numbers Page 11 Conclusion and Marketing Ideas Page 22 Bibliography Page 24 Introduction by Lisa Flanigan Credit Unions are not-for-profit financial institutions that are owned by all of its members. The focus of the credit union is to help its members save, borrow, and receive affordable financial services. One way is by offering higher interest rates on savings accounts which can be important to people in general but also to the young population who are just starting to save for college or some other long term item such as a car. Typically, credit unions charge lower fees compared to banks and provide credit at competitive rates. Like any other business, Credit Unions must have enough income/ assets to cover expenses related to running a business or risk the possibility of becoming insolvent. Lending money to members is a source of income for credit unions. When borrowers default on this lent money, this puts a credit union at risk and causes tougher rules on responsible lending. They are also known for providing service at the personal level by helping their members plan for the future. The first credit union was founded in southern Germany in the year 1864 by...

Words: 6284 - Pages: 26

Free Essay

Customer Satisfaction

...College are informed by the laws of the Republic of Trinidad and Tobago. iii Table of Contents PG 9 PG 9 PG 10 PG 11 PG 11 PG 12 PG 12 PG 13 PG 14 PG 14 PG 14 PG 14 PG 15 PG 17 PG 18 PG 20 PG 20 PG 20 PG 21 PG 22 PG 22 PG 22 PG 23 PG 23 PG 23 PG 23 PG 24 PG 24 PG 24 PG 24 PG 25 PG 25 PG 25 PG 26 PG 26 PG 26 PG 26 PG 26 PG 26 PG 27 PG 27 PG 27 PG 27 PG 27 PG 27 PG 28 PG 28 PG 28 PG 28 PG 28 PG 33 PG 37 Vision Mission President’s Welcome Institutional Profile Management Structure Registered Status and Accreditation Candidacy Commitment to Quality and Continuous Improvement Core Values General Information Equal Opportunity Disability Right to Privacy Campus Safety and Security How to Use this Catalogue List of Programmes Admissions Four-tiered Admissions Process Prior Learning and Assessment (PLA) How to Apply...

Words: 108220 - Pages: 433

Premium Essay

The Cultural Patterns of the Native American Groups Prior to European Colonization.

...cultural patterns of the Native American groups prior to European colonization. Even though Christopher Columbus claimed to have discovered the Americas in 1492, it was already inhabited some fifteen to twenty thousand years prior. The glaciers were reduced because of global warming and this gave the nomadic hunters access to the core of the North American continent. Amazingly, this contributed to their food supply abundantly and this produced a swift population growth. More changes became evident in the environment which included a new food source such as fish, nuts and berries. These Native Americans, known as Paleo-Indians, adjusted and propelled forward. Because they were exposed to a new food source they discovered how to cultivate certain plants. At this stage, the Agriculture Revolution was born and this significantly altered the Native American culture. With a more stable food source these Indians became docile and established. This also helped in establishing stable villages and eventually led to some type of government which included elders and leaders. The Eastern Woodland Cultures did not practice agriculture first and foremost but supplemented their food chain with hunting and fishing. They had settled in the northern region along the Atlantic coast. The Algonquian-speaking Natives resided from North Carolina to Main and spoke many different dialects depending on the region they were associated with. Furthermore, most Native American...

Words: 7887 - Pages: 32