A department head has four tasks to be performed and three subordinates. The subordinates differ in efficiency. The estimates of the time, each subordinate would take to perform, are given below in the matrix. How should he allocate the tasks, one to each man, so as to minmize the total man hours ? Subordinates 1 2 I 26 15 II 13 17 Tasks III 35 20 15 IV 18 30 20 3.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 3ECP: Identify the elementary row operation performed to obtain the new row-equivalent matrix....
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A department head has four tasks to be performed and
three subordinates. The subordinates differ in
efficiency. The estimates of the time, each subordinate
would take to perform, are given below in the matrix.
How should he allocate the tasks, one to each man, so
as to minmize the total man hours ?
Subordinates
1
2
3
9.
26
15
II
13
17
6.
Tasks
III
35
20
15
IV
18
30
20
Transcribed Image Text:A department head has four tasks to be performed and three subordinates. The subordinates differ in efficiency. The estimates of the time, each subordinate would take to perform, are given below in the matrix. How should he allocate the tasks, one to each man, so as to minmize the total man hours ? Subordinates 1 2 3 9. 26 15 II 13 17 6. Tasks III 35 20 15 IV 18 30 20
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