QUESTION $3[$Total: $10$ marks$]$

In a customer service centre, four staff are to be assigned to handle four service counters. The four service counters are designed to solve different customer problems. The customer satisfaction rating $(1-10)$ of each of the staff at each counter is listed in the following table:

Staff

Dinesh

Michael

Nurul

Syukri

W

$7$

$8$

X

$6$

Machine

Y

$7$

$9$

$7$

$9$

$8$

$9$

$8$

$9$

$7$

$7$

$7$

$8$

Z

$9$

Determine the best assignment plan using the Hungarian method. that maximises the total customer satisfaction rating.

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