A manager wants to determine an appropriate learning percentage for processing insurance claims for storm damage. Toward that end, times have been recorded for completion of each of the first six repetitions. Repetition 1 2 3 4 5 6 Time (minutes) 50 46 43 38 37 34 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 0.000 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 a. Determine the approximate learning percentage. Hint: Compute this by averaging the various learning rate estimates available using the 'doubling' concept for all possible unit time ratios (e.g., T2/T1, T4/T2, etc.) (Do not round intermediate calculations. Round your answer to the nearest 5 percent.) b. Using your rounded answer from part a, estimate the average completion time per repetition, assuming a total of 30 repetitions are planned. (Round your answer to 3 decimal places.)

A manager wants to determine an appropriate learning percentage for processing insurance claims for storm damage. Toward that end, times have been recorded for completion of each of the first six repetitions. Repetition 1 2 3 4 5 6 Time (minutes) 50 46 43 38 37 34 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 0.000 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 a. Determine the approximate learning percentage. Hint: Compute this by averaging the various learning rate estimates available using the 'doubling' concept for all possible unit time ratios (e.g., T2/T1, T4/T2, etc.) (Do not round intermediate calculations. Round your answer to the nearest 5 percent.) b. Using your rounded answer from part a, estimate the average completion time per repetition, assuming a total of 30 repetitions are planned. (Round your answer to 3 decimal places.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Repetition	1	2	3	4	5	6
Time (minutes)	50	46	43	38	37	34

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		0.000		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

a. Determine the approximate learning percentage. Hint: Compute this by averaging the various learning rate estimates available using the 'doubling' concept for all possible unit time ratios (e.g., T₂/T₁, T₄/T₂, etc.) (Do not round intermediate calculations. Round your answer to the nearest 5 percent.)

b. Using your rounded answer from part a, estimate the average completion time per repetition, assuming a total of 30 repetitions are planned. (Round your answer to 3 decimal places.)

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