Question

The time taken (in hours) by five different machines for completing five different jobs is given below:

 

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Find the optimal assignment.

09 Jan 2026
Answer :
Word Count : 206
This is a 5 × 5 assignment problem (minimization of total time). We assign one job to one machine so that the total time is minimum. --- ### Given Time Matrix (hours) | Job \ Machine | A | B | C | D | E |
_______ _________ __________ ___ ________ ____.
_______ ________ ____ ______ _________ __________ ____ _______.
_____ _____ ___ ______ _________ __________ _____ _____ ______ _______ ___.
________ _____ ________ __________ __________ ______ ____ _________.
_____ ________ _____ _____ ______ ____ ______ _________ ______ _________.
_________ __________ ________ __________ _________.
____ _____ _______ ______ ____ _____ ________ _______.
________ _____ _________ _____ __________ __________ _________ _____ ______ ______.
___ __________ _________ ________ ______.
_______ _______ _______ ________ ______ ____ _________ ________ ______ _______ ___ _____.
_________ ______ _________ _______ _________.
_______ _____ ______ ________ _________ ____ ______ __________ __________ ______ ______.
___ ____ _________ _________ _______ ____ __________ ____ ____ ____.
___ ____ _________ ______ ___ _________ _________ ___ _______ __________.
__________ ______ ________ _____ ____.
_______ __________ _____ ___ _________ __________ _________ _______ ______ _____ __________.
_______ ________ ____ ____ ________ _____ ______ _______ ________ ______ ____ ________.
___ ___ ___ ____ ______ ____.
______ __________ ____ ______ _____ ____.
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