Determine (and justify) which of the following solution is (i) a feasible solution to the linear programming problem (ii) an extreme point of the feasible region (iii) a basic solution (iv) a basic feasible solution For each basic feasible solution, list the basic variable. a. (0, 3, 0, 5, 6) b. (0, 3, 5, 0, -9) c. (3/2, 0, 0, 1/2, 0) d. (1/2, 1, 1, 0, 2) e. (1, 1, 1/2, 3/2, 1/2)
Determine (and justify) which of the following solution is (i) a feasible solution to the linear programming problem (ii) an extreme point of the feasible region (iii) a basic solution (iv) a basic feasible solution For each basic feasible solution, list the basic variable. a. (0, 3, 0, 5, 6) b. (0, 3, 5, 0, -9) c. (3/2, 0, 0, 1/2, 0) d. (1/2, 1, 1, 0, 2) e. (1, 1, 1/2, 3/2, 1/2)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Determine (and justify) which of the following solution is
(i) a feasible solution to the linear programming problem
(ii) an extreme point of the feasible region
(iii) a basic solution
(iv) a basic feasible solution
For each basic feasible solution, list the basic variable.
a. (0, 3, 0, 5, 6)
b. (0, 3, 5, 0, -9)
c. (3/2, 0, 0, 1/2, 0)
d. (1/2, 1, 1, 0, 2)
e. (1, 1, 1/2, 3/2, 1/2)
![Q4. (20 pts) Suppose the canonical form of a linear programming problem is given by the constraint matrix A and
the rigth hand side vector b, where
[3 0 1 1 0]
A = 2 1 0 0 0 and b = 3
[5°
[4 0 3 0
11
Determine (and justify) which of the following solution is
(i)
(ii)
(iii)
(iv)
a feasible solution to the linear programming problem
an extreme point of the feasible region
a basic solution
a basic feasible solution
For each basic feasible solution, list the basic variable.
(0, 3, 0, 5, 6)
b. (0, 3, 5, 0, -9)
(3/2, 0, 0, 1/2, 0)
d. (1/2, 1, 1, 0, 2)
(1, 1, 1/2, 3/2, 1/2)
а.
с.
е.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ac310e-1866-4791-9c50-3d18f0c2f603%2F5d988d0e-3305-4ce4-aa37-01383da4c9ea%2F37nnnd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q4. (20 pts) Suppose the canonical form of a linear programming problem is given by the constraint matrix A and
the rigth hand side vector b, where
[3 0 1 1 0]
A = 2 1 0 0 0 and b = 3
[5°
[4 0 3 0
11
Determine (and justify) which of the following solution is
(i)
(ii)
(iii)
(iv)
a feasible solution to the linear programming problem
an extreme point of the feasible region
a basic solution
a basic feasible solution
For each basic feasible solution, list the basic variable.
(0, 3, 0, 5, 6)
b. (0, 3, 5, 0, -9)
(3/2, 0, 0, 1/2, 0)
d. (1/2, 1, 1, 0, 2)
(1, 1, 1/2, 3/2, 1/2)
а.
с.
е.
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