She had just attended a tense meeting where she had presented the projected year-end turnover figures for the plant. Out of a total of 50 foremen at the Lima facility, 23 of these positions had turned over in She was a seasoned human resources professional with over 10 years of experience at Treadway. Wall knew the turnover rate of foremen was higher at Lima than at other plants in the division; reversing this trend was her top priority.
However, it wasNine Chapters on the Mathematical Art, written during the Han Dynasty in China between BC and BC, which gave the first known example of matrix methods as set upin the problem below.
There are three types of corn, of which three bundles of the first, two of the second,and one of the third make 39 measures. Two of the first, three of the second and oneof the third make 34 measures. One of the first, two of the second and three of thethird make 26 measures. How many measures of corn are contained in one bundle ofeach type?
The author of the text sets up the coefficients of the system of three linear equationsin three unknowns as a table on a counting board see Matrix 1. The author nowinstructs the reader to multiply the middle column by 3 and subtract the rightcolumn as many times as possible.
The right column is then subtracted as many times aspossible from 3 times the first column see Matrix 2. The left-most column is thenmultiplied by 5 and the middle column is subtracted as many times as possible seeMatrix 3. Matrix 1 Matrix 2 Matrix 3Looking at the left-hand column, the solution can now be found for the third type ofcorn.
We can now use the middle column and substitution to find the value for thesecond type of corn and finally the right-hand column to find the value for the firsttype of corn. This is basically the method of Gaussian elimination, which did notbecome well known until the early 19th century and is introduced in this chapter.
The numbers or symbols in a matrix. A rectangular array of numbers called entries or elements. A horizontal line of elements in the matrix.
A vertical line of elements in the matrix. The size of the matrix. A matrix of order has m rows and n columns. Hence the matrix has six elements, two rows, three columns, and itsorder is The most elementary form of matrix is simply a collection of data in tabular form like this: A 2 4 13 7 1 m n A matrix is usually denotedby a capital letter.
A square matrix is one thathas the same number ofrows as columns. WeekSales of 1 2 3Butter 75 70 82Cheese Milk 70 69 72OperationsEqualityTwo matrices are equal if they are of the same order and their corresponding elementsare equal.
ExampleFind the value of a if Clearly in this case, a 2. This data can be represented using the matrix 75 70 69 Addition and subtractionTo add or subtract two or more matrices, they must be of the same order. We add orsubtract corresponding elements.
If this is not the case, then the multiplication cannotbe carried out. The answer matrix has the same number of rows as the first matrix andthe same number of columns as the second.We think you have liked this presentation.
If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Fitzburg Tire Company builds a plant in Cuernavaca, Mexico Costs are over budget and construction is three months late Work made in the last three weeks must be redone Misunderstanding between Bierman and Sanchez about the solutions of the problem 4.
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If so, share your PPT presentation slides online with timberdesignmag.com This means that if you say the company should cut costs, then you must present exactly why costs should be cut, how much should be cut, where it should be . Read Treadway Tire Company: Job Dissatisfaction and High Turnover at the Lima Plant free essay and over 88, other research documents.
Treadway Tire Company: Job Dissatisfaction and High Turnover at the Lima Plant. _____ Professor Wickham Skinner and Heather Beckham prepared this case solely as a basis for class discussion and not as /5(1).
Fitzberg Tire Company The Fitzburg Tire Company's construction manager, Max Bierman, has been working on a plant in Cuernavaca, Mexico. This plant is Bierman's first assignment outside the U.