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Question 7S.2: Computing Estimated Times Using Table 7S.1 Production Airpla...

Computing Estimated Times Using Table 7S.1

TABLE 7S.1 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 .700 1.700 .750 1.750 .800 1.800 .850 1.850 .900 1.900
3 .568 2.268 .634 2.384 .702 2.502 .773 2.623 .846 2.746
4 .490 2.758 .562 2.946 .640 3.142 .723 3.345 .810 3.556
5 .437 3.195 .513 3.459 .596 3.738 .686 4.031 .783 4.339
6 .398 3.593 .475 3.934 .561 4.299 .657 4.688 .762 5.101
7 .367 3.960 .446 4.380 .534 4.834 .634 5.322 .744 5.845
8 .343 4.303 .422 4.802 .512 5.346 .614 5.936 .729 6.574
9 .323 4.626 .402 5.204 .493 5.839 .597 6.533 .716 7.290
10 .306 4.932 .385 5.589 .477 6.315 .583 7.116 .705 7.994
11 .291 5.223 .370 5.958 .462 6.777 .570 7.686 .695 8.689
12 .278 5.501 .357 6.315 .449 7.227 .558 8.244 .685 9.374
13 .267 5.769 .345 6.660 .438 7.665 .548 8.792 .677 10.052
14 .257 6.026 .334 6.994 .428 8.092 .539 9.331 .670 10.721
15 .248 6.274 .325 7.319 .418 8.511 .530 9.861 .663 11.384
16 .240 6.514 .316 7.635 .410 8.920 .522 10.383 .656 12.040
17 .233 6.747 .309 7.944 .402 9.322 .515 10.898 .650 12.690
18 .226 6.973 .301 8.245 .394 9.716 .508 11.405 .644 13.334
19 .220 7.192 .295 8.540 .388 10.104 .501 11.907 .639 13.974
20 .214 7.407 .288 8.828 .381 10.485 .495 12.402 .634 14.608
21 .209 7.615 .283 9.111 .375 10.860 .490 12.892 .630 15.237
22 .204 7.819 .277 9.388 .370 11.230 .484 13.376 .625 15.862
23 .199 8.018 .272 9.660 .364 11.594 .479 13.856 .621 16.483
24 .195 8.213 .267 9.928 .359 11.954 .475 14.331 .617 17.100
25 .191 8.404 .263 10.191 .355 12.309 .470 14.801 .613 17.713
26 .187 8.591 .259 10.449 .350 12.659 .466 15.267 .609 18.323
27 .183 8.774 .255 10.704 .346 13.005 .462 15.728 .606 18.929
28 .180 8.954 .251 10.955 .342 13.347 .458 16.186 .603 19.531
29 .177 9.131 .247 11.202 .338 13.685 .454 16.640 .599 20.131
30 .174 9.305 .244 11.446 .335 14.020 .450 17.091 .596 20.727

Production Airplanes is negotiating a contract for the production of 20 small jet aircraft. The initial jet required the equivalent of 400 days of direct labor. The learning percentage is 80 percent. Estimate the expected number of days of direct labor for

a. The 20th jet

b. All 20 jets

c. The average time for 20 jets

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