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The 8th unit of a 13-unit job took eight hours to complete. The 9th unit has been worked on for four hours but is not
The 8th unit of a 13-unit job took eight hours to complete. The 9th unit has been worked on for four hours but is not yet finished. Use the following table for calculation. Learning curve coefficients
70% | 75% | 80% | 85% | 90% | ||||||||||||||||
Unit Number | Unit Time | Total Time | Unit Time | Total Time | Unit Time | Total Time | Unit Time | Total Time | Unit Time | Total Time | ||||||||||
1 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||||||||||
2 | 0.700 | 1.700 | 0.750 | 1.750 | 0.800 | 1.800 | 0.850 | 1.850 | 0.900 | 1.900 | ||||||||||
3 | 0.568 | 2.268 | 0.634 | 2.384 | 0.702 | 2.502 | 0.773 | 2.623 | 0.846 | 2.746 | ||||||||||
4 | 0.490 | 2.758 | 0.562 | 2.946 | 0.640 | 3.142 | 0.723 | 3.345 | 0.810 | 3.556 | ||||||||||
5 | 0.437 | 3.195 | 0.513 | 3.459 | 0.596 | 3.738 | 0.686 | 4.031 | 0.783 | 4.339 | ||||||||||
6 | 0.398 | 3.593 | 0.475 | 3.934 | 0.562 | 4.299 | 0.657 | 4.688 | 0.762 | 5.101 | ||||||||||
7 | 0.367 | 3.960 | 0.446 | 4.380 | 0.534 | 4.834 | 0.634 | 5.322 | 0.744 | 5.845 | ||||||||||
8 | 0.343 | 4.303 | 0.422 | 4.802 | 0.512 | 5.346 | 0.614 | 5.936 | 0.729 | 6.574 | ||||||||||
9 | 0.323 | 4.626 | 0.402 | 5.204 | 0.493 | 5.839 | 0.597 | 6.533 | 0.716 | 7.290 | ||||||||||
10 | 0.306 | 4.932 | 0.385 | 5.589 | 0.477 | 6.315 | 0.583 | 7.116 | 0.705 | 7.994 | ||||||||||
11 | 0.291 | 5.223 | 0.370 | 5.958 | 0.462 | 6.777 | 0.570 | 7.686 | 0.695 | 8.689 | ||||||||||
12 | 0.278 | 5.501 | 0.357 | 6.315 | 0.449 | 7.227 | 0.558 | 8.244 | 0.685 | 9.374 | ||||||||||
13 | 0.267 | 5.769 | 0.345 | 6.660 | 0.438 | 7.665 | 0.548 | 8.792 | 0.677 | 10.052 | ||||||||||
14 | 0.257 | 6.026 | 0.334 | 6.994 | 0.428 | 8.092 | 0.539 | 9.331 | 0.670 | 10.721 | ||||||||||
15 | 0.248 | 6.274 | 0.325 | 7.319 | 0.418 | 8.511 | 0.530 | 9.861 | 0.663 | 11.384 | ||||||||||
16 | 0.240 | 6.514 | 0.316 | 7.635 | 0.410 | 8.920 | 0.522 | 10.383 | 0.656 | 12.040 | ||||||||||
17 | 0.233 | 6.747 | 0.309 | 7.944 | 0.402 | 9.322 | 0.515 | 10.898 | 0.650 | 12.690 | ||||||||||
18 | 0.226 | 6.973 | 0.301 | 8.245 | 0.394 | 9.716 | 0.508 | 11.405 | 0.644 | 13.334 | ||||||||||
19 | 0.220 | 7.192 | 0.295 | 8.540 | 0.388 | 10.104 | 0.501 | 11.907 | 0.639 | 13.974 | ||||||||||
20 | 0.214 | 7.407 | 0.288 | 8.828 | 0.381 | 10.485 | 0.495 | 12.402 | 0.634 | 14.608 | ||||||||||
21 | 0.209 | 7.615 | 0.283 | 9.111 | 0.375 | 10.860 | 0.490 | 12.892 | 0.630 | 15.237 | ||||||||||
22 | 0.204 | 7.819 | 0.277 | 9.388 | 0.370 | 11.230 | 0.484 | 13.376 | 0.625 | 15.862 | ||||||||||
23 | 0.199 | 8.018 | 0.272 | 9.660 | 0.364 | 11.594 | 0.479 | 13.856 | 0.621 | 16.483 | ||||||||||
24 | 0.195 | 8.213 | 0.267 | 9.928 | 0.359 | 11.954 | 0.475 | 14.331 | 0.617 | 17.100 | ||||||||||
25 | 0.191 | 8.404 | 0.263 | 10.191 | 0.355 | 12.309 | 0.470 | 14.801 | 0.613 | 17.713 | ||||||||||
26 | 0.187 | 8.591 | 0.259 | 10.449 | 0.350 | 12.659 | 0.466 | 15.267 | 0.609 | 18.323 | ||||||||||
27 | 0.183 | 8.774 | 0.255 | 10.704 | 0.346 | 13.005 | 0.462 | 15.728 | 0.606 | 18.929 | ||||||||||
28 | 0.180 | 8.954 | 0.251 | 10.955 | 0.342 | 13.347 | 0.458 | 16.186 | 0.603 | 19.531 | ||||||||||
29 | 0.177 | 9.131 | 0.247 | 11.202 | 0.338 | 13.685 | 0.454 | 16.640 | 0.599 | 20.131 | ||||||||||
30 | 0.174 | 9.305 | 0.244 | 11.446 | 0.335 | 14.020 | 0.450 | 17.091 | 0.596 | 20.727 | ||||||||||
Estimate the additional amount of time needed to finish the 13-unit job if the work has a 75 percent learning rate. (Round your intermediate calculations and final answer to 3 decimal places.)
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