2. Operations Management
3. manceville air has just produced the first unit of a...

# Question: manceville air has just produced the first unit of a...

###### Question details

Manceville Air has just produced the first unit of a large industrial compressor that incorporated new technology in the control circuits and a new internal venting system. The first unit took 120 hours of labor to manufacture. The company knows from past experience that this labor content will decrease significantly as more units are produced. In reviewing past production​ data, it appears that the company has experienced a 70​% learning curve when producing similar designs. The company is interested in estimating the total time to complete the next 7 units.

Table E.3 in the text is a good resource for calculating the time for the required unit and for the cumulative time.

 ​70% ​75% ​80% ​85% ​90% Unit Number ​(N) 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 .562 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 25 .191 8.404 .263 10.191 .355 12.309 .470 14.801 .613 17.713 30 .174 9.305 .244 11.446 .335 14.020 .450 17.091 .596 20.727

For the given learning​ rate, the cumulative learning curve coefficient for 8 units​ = ___________

Total manufacturing time for​ the: first 8 units = _______ hours.

Manufacturing time for the last 7 units​ = _______ hours