Official Solution: Bunuel
A consulting firm tracks performance metrics for eight regional offices, four in each of two geographic regions (East and West). The following table contains these metrics for calendar year 2019. This firm hires consultants for its regional offices on a calendar-year basis, so the number of consultants employed at each office listed did not change at any point during 2019.
2019 Regional Office Performance Data
| Office | Region | Consultants | Projects Completed | Avg Project Revenue (\(k) | Total Costs (\)M) | Client Satisfaction (%) |
| A | West | 42 | 115 | 86 | 7.9 | 91 |
| B | East | 35 | 104 | 93 | 7.4 | 88 |
| C | West | 51 | 135 | 79 | 9.8 | 94 |
| D | East | 28 | 96 | 102 | 7.1 | 85 |
| E | East | 47 | 122 | 89 | 8.6 | 92 |
| F | East | 39 | 110 | 90 | 8.1 | 90 |
| G | West | 33 | 89 | 95 | 6.2 | 87 |
| H | West | 44 | 120 | 84 | 8.5 | 93 |
For each of the following statements, select
Yes if the information accurately reflects the information in the table. Otherwise, select
No.
• The four West offices ranked in exactly the same order by number of consultants for 2019, from lowest to highest, as by client satisfaction percentage for 2019, from lowest to highest. The ranking of the four West offices by increasing number of consultants is G (33), A (42), H (44), C (51). The ranking of these same offices by increasing client satisfaction percentage is G (87), A (91), H (93), C (94). These orders are exactly the same, so the answer to the first part is
Yes.
• The four East offices ranked in exactly the same order by number of consultants for 2019, from lowest to highest, as by client satisfaction percentage for 2019, from lowest to highest. The ranking of the four East offices by increasing number of consultants is D (28), B (35), F (39), E (47). The ranking of these same offices by increasing client satisfaction percentage is D (85), B (88), F (90), E (92). Again these orders are exactly the same, so the answer to the second part is also
Yes.
• The company’s eight offices ranked in exactly the same order by number of consultants for 2019, from lowest to highest, as by client satisfaction percentage for 2019, from lowest to highest. The ranking of all eight offices by increasing number of consultants is D (28), G (33), B (35), F (39), A (42), H (44), E (47), C (51). The ranking of these same offices by increasing client satisfaction percentage is D (85), G (87), B (88), F (90), A (91), E (92), H (93), C (94). These orders are NOT exactly the same—the positions of E and H are reversed between them—so the answer to the final part is
No.
Correct answer: The four West offices ranked in exactly the same order by number of consultants for 2019, from lowest to highest, as by client satisfaction percentage for 2019, from lowest to highest.
"Yes"The four East offices ranked in exactly the same order by number of consultants for 2019, from lowest to highest, as by client satisfaction percentage for 2019, from lowest to highest.
"Yes"The company’s eight offices ranked in exactly the same order by number of consultants for 2019, from lowest to highest, as by client satisfaction percentage for 2019, from lowest to highest.
"No"