hw12.docx - Homework#12 Dec 6th 2016 Haixia Wang EMP506...

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Homework #12 Dec 6th, 2016 Haixia Wang EMP506 Prof. Janow
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a) marketin g finance operation s hr Chris 80 120 125 140 Steve 20 115 145 160 Juana 40 100 85 45 Rebecc a 65 35 25 75 Subtract the smallest number in each row from every number in the row. marketin g finance operation s hr Chris 0 40 45 60 Steve 0 95 125 140 Juana 0 60 45 5 Rebecc a 40 10 0 50 Subtract the smallest number in each column from every number in the column. Draw the minimum number of vertical a horizontal straight lines needed to cover all zeros. Because three lines suffice, the solution is not optimal. The underlined number is the smallest uncover number. marketin g finance operation s hr Chris 0 30 45 55
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Steve 0 85 125 135 Juana 0 50 45 0 Rebecc a 40 0 0 45 Subtract the smallest uncovered number 30 from every other uncovered number and add it to numbers at the intersection of two lines. Cover the zeros with straight lines again. Because 4 lines are necessary, an optimal assignment can be made. marketin g finance operation s hr Chris 0 0 15 55 Steve 0 55 95 135 Juana 0 20 15 0 Rebecc a 70 0 0 75 Assign marketing to Steve, assign finance to Chris, assign HR to Juana, assign operation to Rebecca.
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