You are a project team manager, and your team members report each day to you to...

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General Management

You are a project team manager, and your team members reporteach day to you to receive their primary assignments.  Not every team member is as efficient as another withparticular kinds of tasks.
Time required (hours) to complete tasks
Task
Task complexity
Team member 1 - Jones
Team member 2 - Nguyen
Team member 3
- Walpita
Team member 4
- Manderas
Task A
Very high
3
5
4
3
Task A
High
2
1
3
2
Task A
Medium
3
4
2
2
Task A
Low
4
3
3
4
a. Given the task roster, complexity levels, and time estimates,assign team members to tasks to optimize efficiency.  Also, determine how long it will take for the team to completetheir routine tasks.
b.You want to focus on efficiency, so you assign ratings to eachteam member’s performance of each task.   Reassign thetasks to obtain the highest efficiency possible (a perfect score is100).
c. Compare the results with those from the first question forthis problem. What is the average rating of theassignment?   What other criteria could be used to assigntasks to team members?
Rating
Task
Team member 1 Jones
Team member 2 Nguyen
Team member 3
Walpita
Team member 4
Manderas
Task A
89
95
83
84
Task A
88
80
96
85
Task A
87
92
82
84
Task A
93
82
36
94

Answer & Explanation Solved by verified expert

3.9 Ratings (546 Votes)

a Here the problem is of Maximization type and converts it into minimization by subtracting it from maximum value 5 JONES NGUYEN WALPITA MANDERAS VH 2 0 1 2 HIG 3 4 2 3 MED 2 1 3 3 LOW 1 2 2 1 Here given problem is balanced Step1 Find out each row minimum element and subtract it from that row JONES NGUYEN WALPITA MANDERAS VH 2 0 1 2 0 HIG 1 2 0 1 2 MED 1 0 2 2 1 LOW 0 1 1 0 1 Step2 Find out each column minimum element and subtract it from that column JONES NGUYEN WALPITA MANDERAS VH 2 0 1 2 HIG 1 2 0 1 MED 1 0 2 2 LOW 0 1 1 0 0 0 0 0 Step3 Make assignment in the opportunity cost table 1 Rowwise cell VHNGUYEN is assigned so columnwise cell MEDNGUYEN crossed off 2 Rowwise cell HIGWALPITA is assigned 3 Columnwise cell LOWJONES is assigned so rowwise cell LOWMANDERAS crossed off Rowwise columnwise assignment shown in table JONES NGUYEN WALPITA MANDERAS VH 2 0 1 2 HIG 1 2 0 1 MED 1 0 2 2 LOW 0 1 1 0 Step4 Number of assignments 3 number of rows 4 Which is not equal so the solution is not optimal Step5 Draw a set of horizontal and vertical lines to cover all the 0 Step5 Cover the 0 with a minimum number of lines 1 Mark row MED See Answer

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		Time required (hours) to complete tasks
Task	Task complexity	Team member 1 - Jones	Team member 2 - Nguyen	Team member 3 - Walpita	Team member 4 - Manderas
Task A	Very high	3	5	4	3
Task A	High	2	1	3	2
Task A	Medium	3	4	2	2
Task A	Low	4	3	3	4

	Rating
Task	Team member 1 Jones	Team member 2 Nguyen	Team member 3 Walpita	Team member 4 Manderas
Task A	89	95	83	84
Task A	88	80	96	85
Task A	87	92	82	84
Task A	93	82	36	94