4 Four workers, \(A , B , C\) and \(D\), are to be allocated, one to each of the four jobs, \(W , X , Y\) and \(Z\). The table shows how much each worker would charge for each job.
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1. What is the total cost of the four jobs if \(A\) does \(W , B\) does \(X , C\) does \(Y\) and \(D\) does \(Z\) ?
2. Apply the Hungarian algorithm to the table, reducing rows first. Show all your working and explain each step. Give the resulting allocation and the total cost of the four jobs with this allocation.
3. What problem does the Hungarian algorithm solve?