Question 1 (58 points) J. G., who is looking for a new accounting system for her small business. She has determined that the most important overall characteristics are hardware, software and vendor support. Furthermore, J.G.hu narrowed down her alternatives to three possible computer systems. She has labeled these SYSTEM-I. SYSTEM-2 and SYSTEM-3. We use the following references for pairwise comparisons: 1.Equally preferred 2. Equally to moderately preferred 3. Moderately preferred 4. Moderately to strongly preferred 5. Strongly preferred 6. Strongly to very strongly preferred 7. Very strongly preferred 8. Very to extremely strongly preferred 9. Extremely preferred J.G. begins by looking at hardware for all systems. She determines that the hardware for computer SYSTEM-1 is moderately preferred to computer SYSTEM-2. Next, 1.6. believes that the hardware for computer SYSTEM-1 is extremely preferred to computer SYSTEM-3. Finally, J.G.considers that the hardware for computer SYSTEM-2 is strongly to very strongly preferred to the hardware for computer SYSTEM-3 n the case of software and vendor support your assistant comes with the following matrices of pairwise comparisons for software and vendor support: Software System System 2 System 3 System 1 System? 2 System) 8 5 System Vendor Support System System 2 System 3 System 2 1 System 6 When the business analyst asks about the preference regarding the systems characteristick She determines that software is very to extremely strongly preferred over hardware, and that software is moderately preferred over vendor support. In comparing vendor support to hardware, she mentions that vendor support is more important, and it is moderately preferred to hardware Page 1 of 3 M.Quispe-Agnoli Spring 2002 i) ii) iv) (8 points) Identify the decision maker, the choices for the decision, and the attributes that are relevant to the decision problem, and include a picture of your value tree (or hierarchy) to represent the decision problem. Max 125 (6 points) Calculate the weights for each of the system' characteristics according to 3.G. preferences. Explain. Max # = 125. (6 points) Looking at the JG.'s preferences for hardware, create the matrix for the pairwise comparisons for all three systems. Explain your scores (numbers) in the matrix Max == 125 (6 points) Your assistant provided matrices showing the pairwise comparies of all three systems regarding software and vendor support. In your words, what does cach number man Explain your scores (numbers) in each matrix Max 200 (10 points) Calculate the weights for cach table in the hierarchy and determine which system, you would recommend to purchase. Show your work in Excel, and if you consider necessary provide explanation of your work (10 points) Calculate the inconsistency ratios for all comparison of the systems on hardware, software, and vendor support (4 points) Calculate the inconsistency ratios for the weights for hardware, software, and vendor support and interpret your results is it necessary to y to do this? Why?) vi) vui) Question 1 (58 points) J. G., who is looking for a new accounting system for her small business. She has determined that the most important overall characteristics are hardware, software and vendor support. Furthermore, J.G.hu narrowed down her alternatives to three possible computer systems. She has labeled these SYSTEM-I. SYSTEM-2 and SYSTEM-3. We use the following references for pairwise comparisons: 1.Equally preferred 2. Equally to moderately preferred 3. Moderately preferred 4. Moderately to strongly preferred 5. Strongly preferred 6. Strongly to very strongly preferred 7. Very strongly preferred 8. Very to extremely strongly preferred 9. Extremely preferred J.G. begins by looking at hardware for all systems. She determines that the hardware for computer SYSTEM-1 is moderately preferred to computer SYSTEM-2. Next, 1.6. believes that the hardware for computer SYSTEM-1 is extremely preferred to computer SYSTEM-3. Finally, J.G.considers that the hardware for computer SYSTEM-2 is strongly to very strongly preferred to the hardware for computer SYSTEM-3 n the case of software and vendor support your assistant comes with the following matrices of pairwise comparisons for software and vendor support: Software System System 2 System 3 System 1 System? 2 System) 8 5 System Vendor Support System System 2 System 3 System 2 1 System 6 When the business analyst asks about the preference regarding the systems characteristick She determines that software is very to extremely strongly preferred over hardware, and that software is moderately preferred over vendor support. In comparing vendor support to hardware, she mentions that vendor support is more important, and it is moderately preferred to hardware Page 1 of 3 M.Quispe-Agnoli Spring 2002 i) ii) iv) (8 points) Identify the decision maker, the choices for the decision, and the attributes that are relevant to the decision problem, and include a picture of your value tree (or hierarchy) to represent the decision problem. Max 125 (6 points) Calculate the weights for each of the system' characteristics according to 3.G. preferences. Explain. Max # = 125. (6 points) Looking at the JG.'s preferences for hardware, create the matrix for the pairwise comparisons for all three systems. Explain your scores (numbers) in the matrix Max == 125 (6 points) Your assistant provided matrices showing the pairwise comparies of all three systems regarding software and vendor support. In your words, what does cach number man Explain your scores (numbers) in each matrix Max 200 (10 points) Calculate the weights for cach table in the hierarchy and determine which system, you would recommend to purchase. Show your work in Excel, and if you consider necessary provide explanation of your work (10 points) Calculate the inconsistency ratios for all comparison of the systems on hardware, software, and vendor support (4 points) Calculate the inconsistency ratios for the weights for hardware, software, and vendor support and interpret your results is it necessary to y to do this? Why?) vi) vui)
