Evaluating Branch Bank Efficiency: A large national bank is interested in evaluating the performance of several of its branches. For this purpose, it has collected data for a DEA study (Table 5.4). Three inputs have been selected for the study: personnel hours, operating expenses, and floor space. Three outputs have also been selected; these count the number of transactions in different areas of the bank. In particular, transactions are tracked in Deposits and Capital Transfers, Credit Processing, and Foreign Receipts.

1. Perform a DEA evaluation for the branches, listing the efficiency for each branch.
2. For each of the inefficient units, find the reference set.

Foreign Table 5.4. Inputs and Outputs for 17 Branch Banks Branch Inputs code Labor Expenses Space 34515 6543 591 49960 11830 550 20652 3464 427 49024 7603 478 36923 8723 830 28967 4606 474 7 28452 7425 182 8 45911 8013 790 9 26890 14662 447 10 47376 7576 764 11 57913 12035 875 12 43477 7255 1109 13 49786 10909 405 14 30045 4264 479 15 56579 8895 840 16 43824 12690 801 17 33823 4143 381 Deposits 268836 475144 133020 355909 240679 211183 147364 130161 156828 297925 462603 300976 233178 110976 363048 130219 146804 Outputs Credit 9052 15697 3696 12918 4759 3188 5302 12070 15102 16797 2698 12299 6248 8675 6370 20417 47508 11242 15967 6937 16594 8087 5621 40618 115022 1336 12030 13232 24368 4701 19796 10788 28133 21856 Foreign Table 5.4. Inputs and Outputs for 17 Branch Banks Branch Inputs code Labor Expenses Space 34515 6543 591 49960 11830 550 20652 3464 427 49024 7603 478 36923 8723 830 28967 4606 474 7 28452 7425 182 8 45911 8013 790 9 26890 14662 447 10 47376 7576 764 11 57913 12035 875 12 43477 7255 1109 13 49786 10909 405 14 30045 4264 479 15 56579 8895 840 16 43824 12690 801 17 33823 4143 381 Deposits 268836 475144 133020 355909 240679 211183 147364 130161 156828 297925 462603 300976 233178 110976 363048 130219 146804 Outputs Credit 9052 15697 3696 12918 4759 3188 5302 12070 15102 16797 2698 12299 6248 8675 6370 20417 47508 11242 15967 6937 16594 8087 5621 40618 115022 1336 12030 13232 24368 4701 19796 10788 28133 21856