chapter13A - Additional Solutions: Chapter Thirteen:...

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Additional Solutions: Chapter Thirteen: Qualitative 13S.1 We begin by ordering the alternatives according to desired salary, the lowest being the most desirable (from the company's viewpoint) Candidate Name Desired Salary Language skills Experience Interview Cost Andy Patterson $70 000 English (F) 9 years Low Kevin Ishiguru $80 000 English (F), Japanese (F) 8 years Low Bruce Smith $95 000 English (F) 5 years Low Mary Ng $105 000 English (C), Vietnamese (F), Mandarin (P) 17 years Medium Lee Kyung Sook $115 000 English (C), Korean (F), 16 years Medium Leo Wu $120 000 English (F), Mandarin (F) 20 years High Leila Khan $135 000 English (F), Japanese(P) 19 years High We see that Bruce Smith is dominated by Kevin Ishiguru in all categories, so he can be eliminated from consideration. Lee Kyung Sook is dominated by Mary Ng, and Leila Khan is dominated by Leo Wu, so we can eliminate both Lee and Leila. This leaves the company with four candidates, who can be called in for interview. *13S.2 We first normalize the salaries. Leo Wu, requiring the highest salary, scores 0, while Andy Patterson scores 10. Kevin scores 10 × (80 - 120)/(70 – 120) = 8 Mary scores 10 × (105 – 120)/(70 - 120) = 3 On language skills, Andy scores 4, Kevin scores 8, Mary scores 9 and Leo scores 8. Using normalization to give numerical values to experience, Kevin gets 0 and Leo gets 10. Andy scores 10 × (9 – 8)/(20 – 8) = 0.85 Mary scores 10 × (17 – 8)/(20 – 8) = 7.5 These values are entered on the accompanying spreadsheet, 13S2.xls Candidate Salary Language Experience Interview Score Andy 10.00 4.00 0.85 10.00 45.40
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Kevin 8.00 8.00 0.00 10.00 50.00 Mary 3.00 9.00 7.50 5.00 68.00 Leo 0.00 8.00 10.00 0.00 64.00 Weight 2.00 3.00 4.00 1.00 The revised scoring scheme is shown lower on the same spreadsheet. We see that the relative rankings of the candidates have not changed, which suggests that this is a robust decision, not an artifact of an arbitrary scoring scheme. Candidate Salary Language Experience Interview Score Andy 10.00 4.00 6.00 3.00 59.00 Kevin 10.00 8.00 3.00 3.00 59.00 Mary 6.00 9.00 10.00 2.00 81.00 Leo 3.00 8.00 10.00 1.00 71.00 Weight 2.00 3.00 4.00 1.00 13S.3 Lee has made several mistakes. Most importantly, the ratings in each column should be on a scale of 1
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chapter13A - Additional Solutions: Chapter Thirteen:...

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