To find the cutoff score, we first need to calculate the total weighted score for each candidate. The formula for the total score is:
Total Score = (Score in component 1×0.2)+(Score in component 2×0.3)+(Score in component 3×0.5)
Let's compute the total score for each candidate step-by-step:
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Candidate 1:
5×0.2+4×0.3+6×0.5=1.0+1.2+3.0=5.2
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Candidate 2:
4×0.2+6×0.3+5×0.5=0.8+1.8+2.5=5.1
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Candidate 3:
3×0.2+2×0.3+8×0.5=0.6+0.6+4.0=5.2
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Candidate 4:
9×0.2+4×0.3+3×0.5=1.8+1.2+1.5=4.5
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Candidate 5:
8×0.2+8×0.3+2×0.5=1.6+2.4+1.0=5.0
Now, let's arrange the total scores of all candidates in descending order to identify the top performers:
- Candidate 1: 5.2
- Candidate 3: 5.2
- Candidate 2: 5.1
- Candidate 5: 5.0
- Candidate 4: 4.5
The recruitment process requires exactly three candidates to be selected. This means we must select the top three scorers.
The top three scores are 5.2, 5.2, and 5.1.
To ensure exactly three candidates make the list, the cutoff score (the minimum score required to be selected) must be set at the score of the third-highest candidate.
Therefore, the cutoff score is 5.1.