...Algebra 1: Simplifying Algebraic Expressions Lesson Plan for week 2 Age/Grade level: 9th grade Algebra 1 # of students: 26 Subject: Algebra Major content: Algebraic Expressions Lesson Length: 2 periods of 45 min. each Unit Title: Simplifying Algebraic Expressions using addition, subtraction, multiplication, and division of terms. Lesson #: Algebra1, Week 2 Context This lesson is an introduction to Algebra and its basic concepts. It introduces the familiar arithmetic operators of addition, subtraction, multiplication, and division in the formal context of Algebra. This lesson includes the simplification of monomial and polynomial expressions using the arithmetic operators. Because the computational methods of variable quantities follows from the computational methods of numeric quantities, then it should follow from an understanding of basic mathematical terminology including the arithmetic operators, fractions, radicals, exponents, absolute value, etc., which will be practiced extensively prior to this lesson. Objectives • Students will be able to identify basic algebraic concepts including: terms, expressions, monomial, polynomial, variable, evaluate, factor, product, quotient, etc. • Students will be able to simplify algebraic expressions using the four arithmetic operators. • Students will be able to construct and simplify algebraic expressions from given parameters. • Students will be able to evaluate algebraic expressions. • Students...
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...Constructing Formulas for Mathematical Operations in Excel (Basic Tips and Techniques) Michelle A. Applequist Computer Information Systems (CIS105) Professor Hari Dhungana Strayer University September 1, 2009 Constructing Formulas for Mathematical Operations in Excel Microsoft Excel uses formulas to construct mathematical operations in a worksheet. After data have been entered into the worksheet, you can perform calculations, analyze data, and create charts. An Excel formula (calculations you create) and functions (formulas pre-existing in Excel) calculates the data entered in the worksheet. Formulas calculate numbers in a particular order. “Excel has one of the most comprehensive set of formulas, not only to perform calculations but also to manage data and records. It also has the ability to instantaneously re-calculate the results as the raw data changes” (Khoo, 2006-9, para. 2). To construct a formula after you have entered data, you must click in the cell that you want the results to appear in, and then type the formula. You can construct formulas by using the sum function, and editing numbers in a cell. It is stated that: Sum is an Excel function—a prewritten formula. Sum indicates the type of calculation that will take place (addition). When the sum function is activated, Excel looks above the active cell for a range of cells to sum. If there is no range above the cell, Excel will look to the left for a range of cells to...
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...Mathematical Operations of Numbers and Simplifying Algebraic Expressions Section A.: Mathematical Operations of Numbers 1.) 8+((12+5) x 4)/2= 8+(17x4)/2= 8+68/2= 8+34= 42 2.) ((3+4)²+4)-2= (7²+4)-2= (49+4)-2= 53-2= 51 3.) ((12+7)+(8/4)²) (19)+(2)² 19+4 23 4.) ½ + ¼ - ⅓= 6/12+3/12-4/12= 9/12-4/12= 5/12 5.) 2/3 x 3/5 = Multiply straight across 2/3 x 3/5 = 6/15 Find common denominator Reduce to lowest term 6/15 ÷ 3/3 = 2/5 6.) ⅓ ÷ ½ = Multiply by reciprocal ⅓ x 2/1= 2/3 7.) 3/2 ÷ ( 1/5 + 6/10) = 3/2 ÷ (2/10 + 6/10) = 3/2 ÷ 8/10 = Multiply by reciprocal 3/2 x 10/8 = 30/16 = 15/8 = 1 7/8 Section B.: Simplifying Algebraic Expressions 1.) 2x + 3x - 5x + x = 5x - 5x + x = 0 + x = x 2.) 2(6x + 5) = 2(6x) + (2x5) = 12x + 10 = 3.) (14x - 7) /7 = 14x - 7 ÷ 7 = 14x ÷ 7 = 2x -7 ÷ 7 = -1 2x - 1 4.) -(-15x) - 3x = 15x - 3x = 12x 5.) 5(3x+4) - 4 = 15x + 20 - 4 = 15x + 16 = 6.) 5(3x-2)+12x = 15x -10+12x = 27x - 10 = 7.) 4(2y-6)+3(5y+10) = 8y-24+15y+30 = 23y-24+30 = 23y+6= 8.) (x+1) (x-2) = Multiply the first 2, outside 2, inside 2, last 2 xx - 2x + 1x - 2 = xx - 2x + x - 2...
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...I’ll keep looking for other students to post their discussion assignment, as I need to assess three student discussion posts. This week, I feel it will be helpful to master the for .. each, while, and do … while control structures. Often, I use the for loop, and select case / switch, but the other loops escape my programming toolbox. This week, I learned how to program with while, do … while, and for … each. These three control structures help complete processing tasks without programming a set number of iterations, or until a boolean condition is met(or not met). Control structures that iterate a set number of times can miss processing the entirety of a data structure. Often, I use the for loop. I am very familiar with the for loop, but I want to use the other control structures more. I enjoyed learning other methods this week. This week, the for … each loop caused me to wonder. I like thinking about putting a data structure into the top of a for … each loop, and letting the computer decide how many processing iterations to make. In my opinion, this avoids mistakes counting how many iterations to...
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...Aaron Sura June 2, 2014 Wiley plus exercise Question 1. (a). $181,500 (b). $41,200 (c). 38,000 (d). 19,200 (e). 9,500 (f). 63,400 Question 3. In its first month of operation, Maze Company purchased 100 units of inventory for $6, then 200 units for $7, and finally 150 units for $8. At the end of the month, 180 units remained. Compute the amount of phantom profit that would result if the company used FIFO rather than LIFO. The company uses the periodic method. FIFO: $1,410 150 units multiplied by $8 equals $1,200 30 units multiplied by $7 equals $210 $1,200 plus $210 equals $1,410 LIFO: $1,160 100 units multiplied by $6 equals $600 80 units multiplied by $7 equals $560 $600 plus $560 equals to $1,160 Therefore, the phantom profit would be $250 if the company were to use the FIFO rather than LIFO. Question 4. Compute the lower of cost or market valuation for O'Connor's inventory. 12,500(camera)+9,000(camcorders)+12,800(DVD’s)= $34,300 Question 5. Establishment of responsibilities: Only cashiers may operate registers. Segregation of duties: The duties of receiving cash, recording cash, and having custody of cash are assigned to different individuals. Independent and internal verifications: Daily cash counts are made by cashier department supervisors. Human resource control: All cashiers are bonded Physical controls: All over-the-counter receipts are registers. Question 6. Segregation of duties: 3 Establishment of responsibilities:...
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...yDylan Dissanayake Student ID : 15223568 Session 1 : Earth Buddy 10/01/12 Q1. How many Earth Buddies can Ben count on producing in one shift? How many if the factory works 2 shifts? Three shifts? How many if it operates three shifts a day, seven days a week? Which operation is the bottleneck? TASK | TIME | NUMBER OF OPERATORS | a.BUDDIES/HR | b.BUDDIES/SHIFT | c.BUDDIES/ "2" SHIFTS | d.BUDDIES/ "3" SHIFTS | e.BUDDIES/ "3" SHIFTS - 7 DAYS | FILLING | 1.5 | 6 | 240 | 1680 | 3360 | 5040 | 35280 | MOULDING | 1.6 | 3 | 225 | 1575 | 3150 | 4725 | 33075 | EYES | 1.2 | 2 | 300 | 2100 | 4200 | 6300 | 44100 | EYE GLASS | 1.2 | 1 | 300 | 2100 | 4200 | 6300 | 44100 | PAINTING | 1.5 | 1 | 240 | 1680 | 3360 | 5040 | 35280 | PACKING | 1.98 | 2 | 363 | 2541 | 5082 | 7623 | 53361 | a. Buddies/hr = 60minutes x Operators time/task b. Buddies/shift = 60minutes x Operators x Productive hrs time/task c. Buddies/ 2 shifts = 60minutes x Operators x Productive hrs x No. Of Shifts time/task d. Buddies/ 3 shifts = 60minutes x Operators x Productive hrs x No. Of Shifts time/task e. Buddies/ 3 shifts = 60minutes x Operators x Productive hrs x No. Of Shifts x Days 7 Days time/task Bottleneck = Lowest output (Moulding) Theoretical Capacity/hr = Operators x 60min ...
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...Littlefield Technologies Assignment 5 PM on February 22 . Starting at 5 PM on Wednesday, February 27, the simulation will begin The game will end at 9 PM on Sunday, March 3. Accessing your factory http://quick.responsive.net/lt/toronto3/entry.html Littlefield Technologies’ Operations board stuffing testing tuning Operations Policies at Littlefield Purchasing Supplies Processing in Batches Contract Pricing Borrowing from the Bank Cash Balance The winning team is the team with the most cash at the end of the game (cash on hand less debt). Current State of the System and Your Assignment At the end of day 350, the factory will shut down and your final cash position will be determined. Starting at 5 PM on Wednesday, February 27, the simulation will begin The game will end at 9 PM on Sunday, March 3. PLEASE DO NOT WAIT UNTIL THE FINAL SECONDS TO MAKE YOUR CHANGES. SOMETIMES THEY TAKE A FEW MINUTES TO BE PROCESSED. Written Assignment: Analysis of Game 2 of Littlefield Technologies Simulation Due March 14, 8:30 am in eDropbox Your group is going to be evaluated in part on your success in the game and in part on how clear, well structured and thorough your write-up is. The write-up only covers the second round, played from February 27 through March 3. It should not discuss the first round. Your write-up should address the following points: • A brief description of what actions you chose and when. Not a full list of every action, but the major...
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...OPERATION RESEARCH Credits: 4 SYLLABUS Development Definition, Characteristics and phase of Scientific Method, Types of models. General methods for solving operations research models. Allocation: Introduction to linear programming formulation, graphical solution, Simplex ethod, artificial variable technique, Duality principle. Sensitivity analysis. Transportation Problem Formulation optimal solution. Unbalanced transportation problems, Degeneracy. Assignment problem, Formulation optimal solution, Variation i.e., Non-square (m x n) matrix restrictions. Sequencing Introduction, Terminology, notations and assumptions, problems with n-jobs and two machines, optimal sequence algorithm, problems with n-jobs and three machines, problems with n-jobs and m-machines, graphic solutions. Travelling salesman problem. Replacement Introduction, Replacement of items that deteriorate with time – value of money unchanging and changing, Replacement of items that fail completely. Queuing Models M.M.1 & M.M.S. system cost considerations. Theory of games introduction, Two-person zero-sum games, The Maximum –Minimax principle, Games without saddle points – Mixed Strategies, 2 x n and m x 2 Games – Graphical solutions, Dominance property, Use of L.P. to games, Algebraic solutions to rectangular games. Inventory Introduction, inventory costs, Independent demand systems: Deterministic models – Fixed order size systems – Economic order quantity (EOQ) – Single items, back ordering...
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...Running head: UNIT 1 Global Operations Management Unit 1 Global Operations Management Discussion Board MGMT 415-1103B-04 Instructor: Alfred Siu Christi Kerr AIU Online Unit 1 Global Operations Management Managing global operations have never been easy. However; managing global operations correctly shows in the bottom line in the company. There are many things that have changed global operations such as communications, transportation and cutting cost (Heizer 2012). The first example of a global operation that demonstrates a global management approach is the most familiar of all is Wal-Mart. They went international when they opened Sam’s Club near Mexico in 1991 and two years later Wal-Mart International was created. Wal-Mart has created stores with different formats and styles to fit their customers for each store in each country. Wherever Wal-Mart is located each store shares a common goal which is to save people money so they can live better. Today there are 5,236 stores and more than 730,000 associates in 14 countries outside the US (walmartinternationa.com). The second one is Hershey’s Chocolate Company and they are located in Canada, Mexico, Brazil, China, Korea and Japan. Hershey’s is committed to dealing fairly and ethically with all parties and at all points of the value chain and work hard to ensure the responsible and sustainability sourcing of raw materials and the safest possible processing of those materials and they do this for each and every plant...
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...the area local gym. People aim to locate ease in processes they consider the hardest to do or maintain. With that being said, I believe it is very rational and profitable to pursue this venture in this industry. I will leverage this OM topic with a focus angled to my capstone project that will deal with the following key elements: • Workforce scheduling • Capacity planning • Quality management and process improvement • Trends in Healthcare (very important) • Inventory management I believe that by focusing on these core elements in relation to Health Care processes, I will be able to mitigate any potential risk situations that I may experience during the operation process of Right Here Chiseled Sessions (RHCS) and thus avoid any potential hiccups my firm may experienced during day to day business processing and ultimately decrease profit reduction scenarios. According to Jacobs & Chase, “Health care as a service is characterized by...
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...Stickley Furniture (Operations Tour) 1. Which type of production processing-job shop, batch, repetitive, or continuous-is the primary mode of operation at Stickley Furniture? Why? What other type of processing is used to a lesser extent? Production process has a significant effect on the way production of goods and services will be organized. It is important part of operation management, which determines the right process strategy for the transformation of a certain range set of inputs in order to produce the desired outputs. In the case study of Stickley Furniture the primary mode of operation is continuous production processing. This production process mainly specializes in manufacturing or processing various parts to come up with final standardized output, when it is desired (Stevenson, 2015). Stickley Furniture has many reasons to why continuous production process is used in their facilities. The first major factor is a quality of their product which starts form sawing operation. The process starts with inspection of lumber by the workers, who then feed the lumber in to the machine, where the computer system scans it and determines optimal an efficient way to cut the lumber in to specified pieces, and by avoiding knots and other defects. The next step after producing boards is to build and assemble various types of quality furniture in line with the client’s orders. As the result, of all of this order of operations, it indicates support for most commonly use of the continuous...
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...functions (e.g., central store, laundry and linen operations, and sterile processing). The core purpose of material management is to direct and control the movements of goods in an efficient manner through a hospital system (Langabeer, 2008). This material management proposal document will elaborate on the role materials management plays within a hospital and the role of operations managers in this process. This document will further identify possible constraints a hospital may experience in its supply chain, the potential effects and justification on implementing a new collaborative planning process, and provide suggestions on how to manage a hospital supplied during a disaster. Role of Materials and Operations Management The role of materials and operations management plays within a hospital system is vital to the success of any health care organization. According to Langabeer (2008) material management controls significant resources and have total expenditures, or spending at 50% of a hospital budget. Materials management not only directs and controls the supply chain of a health care organization it is responsible for managing the flow of goods throughout the hospital and carry out supply and resource logistics. Materials management has numerous meanings and some hospitals view material management as an umbrella department with various functions such as central stores, laundry and linen operations, and sterile processing with many other functions to endure. Therefore, the...
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...Operations performance objectives This first point made in this section is that operations objectives are very broad. Operations management has an impact on the five broad categories of stakeholders in any organisation. Stakeholders is a broad term but is generally used to mean anybody who could have an interest in, or is affected by, the operation. The five groups are: * Customers - These are the most obvious people who will be affected by any business. What the chapter goes on to call the five operations performance objectives apply primarily to this group of people. * Suppliers - Operations can have a major impact on suppliers, both on how they prosper themselves, and on how effective they are at supplying the operation. * Shareholders - Clearly, the better an operation is at producing goods and services, the more likely the whole business is to prosper and shareholders will be one of the major beneficiaries of this. * Employees - Similarly, employees will be generally better off if the company is prosperous; if only because they are more likely to be employed in the future. However operations responsibilities to employees go far beyond this. It includes the general working conditions which are determined by the way the operation has been designed. * Society - Although often having no direct economic connection with the company, individuals and groups in society at large can be impacted by the way its operations managers behave. The most obvious example...
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...Operations performance objectives This first point made in this section is that operations objectives are very broad. Operations management has an impact on the five broad categories of stakeholders in any organisation. Stakeholders is a broad term but is generally used to mean anybody who could have an interest in, or is affected by, the operation. The five groups are: * Customers - These are the most obvious people who will be affected by any business. What the chapter goes on to call the five operations performance objectives apply primarily to this group of people. * Suppliers - Operations can have a major impact on suppliers, both on how they prosper themselves, and on how effective they are at supplying the operation. * Shareholders - Clearly, the better an operation is at producing goods and services, the more likely the whole business is to prosper and shareholders will be one of the major beneficiaries of this. * Employees - Similarly, employees will be generally better off if the company is prosperous; if only because they are more likely to be employed in the future. However operations responsibilities to employees go far beyond this. It includes the general working conditions which are determined by the way the operation has been designed. * Society - Although often having no direct economic connection with the company, individuals and groups in society at large can be impacted by the way its operations managers behave. The most obvious example is in...
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...ISBN (13) : 978-81-224-2944-2 PUBLISHING FOR ONE WORLD NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS 4835/24, Ansari Road, Daryaganj, New Delhi - 110002 Visit us at www.newagepublishers.com PREFACE I started my teaching career in the year 1964. I was teaching Production Engineering subjects till 1972. In the year 1972 I have registered my name for the Industrial Engineering examination at National Institution of Industrial Engineering, Bombay. Since then, I have shifted my field for interest to Industrial Engineering subjects and started teaching related subjects. One such subject is OPERATIONS RESEARCH. After teaching these subjects till my retirement in the year 2002, it is my responsibility to help the students with a book on Operations research. The first volume of the book is LINEAR PORGRAMMING MODELS. This was published in the year 2003. Now I am giving this book OPERATIONS RESEARCH, with other chapters to students, with a hope that it will help them to understand the subject easily. I hope this will help my teacher friends to teach the subject well. I thank Mr. N.V. Jagdeesh Babu, Assistant professor of Mechanical Engineering for proof reading the script. Anantapur Date: 12.1.2007 P. Rama Murthy. This page intentionally left blank Dedicated To My Wife Usha My Daughter Vidya Grandson Yagnavalkya. and My Son In Law Shankaranarayana...
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