A departmental head has four subordinates and four tasks to be performed. The subordinate: differ in their efficiency and the tasks differ in their intrinsic difficulty. His estimate of the time each subordinate would take to perform each task, is given in the matrix below: Subordinates Tasks EF G|H 18 26 17 11 13 28 14 26 38 19 18 15 19 26 24 How should the tasks be allocated, so as to minimize the total man hours? B C D 10

A departmental head has four subordinates and four tasks to be performed. The subordinate: differ in their efficiency and the tasks differ in their intrinsic difficulty. His estimate of the time each subordinate would take to perform each task, is given in the matrix below: Subordinates Tasks EF G|H 18 26 17 11 13 28 14 26 38 19 18 15 19 26 24 How should the tasks be allocated, so as to minimize the total man hours? B C D 10

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.1: Matrix Operations

Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...

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