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Consider the region given by z ≤ 2, x+y 23, 2 2 + y - 254, x, y, z 20 (a) Formulate the problem using slack variables s1 ≥ 0, s2 ≥ 0 and s3 ≥0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, 81, 82, 83). (b) Is this a feasible solution? True False (c) Write down the basic solution obtained by choosing %, $1,82 as pivots. Enter in the form (x, y, z, 81, 82, 83) (d) Is this a feasible solution? True False (e) Write down the basic solution obtained by choosing x,y,z as pivots. Enter in the form (x, y, z, 81, 82, 83) (f) Is this a feasible solution? True False

Consider the region given by z ≤ 2, x+y 23, 2 2 + y - 254, x, y, z 20 (a) Formulate the problem using slack variables s1 ≥ 0, s2 ≥ 0 and s3 ≥0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, 81, 82, 83). (b) Is this a feasible solution? True False (c) Write down the basic solution obtained by choosing %, $1,82 as pivots. Enter in the form (x, y, z, 81, 82, 83) (d) Is this a feasible solution? True False (e) Write down the basic solution obtained by choosing x,y,z as pivots. Enter in the form (x, y, z, 81, 82, 83) (f) Is this a feasible solution? True False

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Consider the region given by I ≤ 2, z+y≥ 3, 22+y-z<4 x, y, z ≥ 0 (a) Formulate the problem using slack variables s1 ≥ 0, s2 ≥ 0 and s3 ≥ 0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, 81, 82, 83). (b) Is this a feasible solution? True False (c) Write down the basic solution obtained by choosing z, $1, s2 as pivots. Enter in the form (x, y, z, 81, 82, 83) (d) Is this a feasible solution? True False (e) Write down the basic solution obtained by choosing x,y,z as pivots. Enter in the form (x, y, z, 81, 82, 83) (f) Is this a feasible solution? True False
Transcribed Image Text:Consider the region given by I ≤ 2, z+y≥ 3, 22+y-z<4 x, y, z ≥ 0 (a) Formulate the problem using slack variables s1 ≥ 0, s2 ≥ 0 and s3 ≥ 0. Write down the basic solution obtained by choosing the slack variables as pivots. Enter in the form (x, y, z, 81, 82, 83). (b) Is this a feasible solution? True False (c) Write down the basic solution obtained by choosing z, $1, s2 as pivots. Enter in the form (x, y, z, 81, 82, 83) (d) Is this a feasible solution? True False (e) Write down the basic solution obtained by choosing x,y,z as pivots. Enter in the form (x, y, z, 81, 82, 83) (f) Is this a feasible solution? True False
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