By Nicholas A. Macri (Auth.)
ISBN-10: 0120595702
ISBN-13: 9780120595709
Reasonable and correct purposes from various disciplines support encourage company and social technology scholars taking a finite arithmetic path. a versatile business enterprise permits teachers to tailor the booklet to their direction
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Extra info for Study Guide for Applied Finite Mathematics
Sample text
The feasible region is denoted by S in Figure 3, and we note that it has four corner points: P-, P 2 , P„, and P.. The coordinates of P- are, clearly, (3,18). 2 are (10,18). P, lies at the intersection of lines £- and £„, so its coordinates are the solutions to the linear system x = 10 x + y = 30. The solution to this system is x = 10 and y = 20. Therefore the coordinates of P 3 are (10,20). P. is at the intersection of lines £.. and l~> so ^ts coordinates are the solution to the linear system x =3 x+ y = 30.
2. -x+ y < 0. -x + y = 0. y > 0. y = 0. 3. , £«, and £,. The student can easily plot these lines. ) We next determine the regions defined by each of the inequalities. will use the point (2,1) as a test point. 1. (2,1) lies above &-. We Inserting these values into inequality 1 yields 10 < 5, which is false. Therefore 2. inequality 1 defines the region below and on_ I*. (2,1) lies below %~. Inserting these values into inequality 2 yields -1 < 0, which is true. Therefore inequality 2 defines the region below and on JU.
4. , designates the element (number) in the ith row and jth column. 4 a ll a 12 a i3 x a 21 a 22 a 23 *2n "ml a m3 mn m A= 5. m2 I f A i s an m x n m a t r i x , t h e t r a n s p o s e of A, denoted A , i s t h e n x m matrix obtained from A by i n t e r c h a n g i n g t h e rows and columns of A; t h a t i s , t h e f i r s t row of A i s t h e f i r s t column of A, t h e second row of A i s t h e second column of A, t h e t h i r d row of A i s t h e t h i r d column of A, e t c . 6. (i) CAV = A.
Study Guide for Applied Finite Mathematics by Nicholas A. Macri (Auth.)
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