Unit Improvement Factor Unit 60% 65% 70% 75% 80% 85% 90% 95% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 .6000 .6500 .7000 .7500 .8000 .8500 9000 .9500 3 .4450 .5052 5682 .6338 .7021 .7729 .8462 9219 4 3600 4225 4900 .5625 .6400 .7225 .8100 .9025 5 .3054 .3678 4368 5127 .5956 .6857 .7830 .8877 6 .2670 .3284 3977 4754 .5617 .6570 7616 .8758 7 2383 2984 3674 4459 .5345 .6337 7439 .8659 8 2160 .2746 3430 4219 5120 .6141 7290 .8574 9 .1980 2552 3228 .4017 4930 .5974 7161 .8499 10 .1832 2391 3058 3846 .4765 .5828 7047 .8433 12 .1602 2135 2784 3565 .4493 .5584 .6854 .8320 14 .1430 .1940 2572 3344 .4276 .5386 .6696 .8226 16 .1290 .1785 2401 3164 4096 .5220 .6561 .8145 18 .1188 .1659 2260 3013 .3944 .5078 .6445 .8074 20 .1099 .1554 2141 2884 3812 4954 .6342 .8012 22 .1025 .1465 2038 2772 .3697 .4844 .6251 .7955 24 .0961 .1387 .1949 2674 .3595 .4747 .6169 .7904 25 .0933 .1353 .1908 2629 .3548 .4701 .6131 .7880 30 .0815 .1208 .1737 2437 .3346 .4505 5963 7775 35 .0728 .1097 .1605 2286 3184 .4345 .5825 .7687 40 .0660 .1010 .1498 2163 .3050 .4211 .5708 .7611 45 .0605 .0939 .1410 2060 2936 4096 5607 .7545 50 .0560 .0879 .1336 .1972 2838 .3996 .5518 .7486 60 .0489 .0785 .1216 .1828 .2676 .3829 .5367 .7386 70 .0437 .0713 1123 .1715 .2547 .3693 .5243 .7302 80 .0396 .0657 .1049 .1622 2440 .3579 .5137 .7231 90 .0363 .0610 .0987 .1545 .2349 .3482 .5046 .7168 100 .0336 .0572 .0935 .1479 .2271 .3397 .4966 .7112 120 .0294 .0510 .0851 .1371 2141 .3255 4830 .7017 140 .0262 160 10 .0464 .0786 .1287 2038 3139 4718 .6937 .0237 .0427 .0734 .1217 .1952 .3042 .4623 .6869 180 0218 .0397 .0691 1159 .1879 2959 .4541 .6809 200 .0201 .0371 .0655 .1109 .1816 2887 .4469 .6757 250 .0171 .0323 .0584 .1011 .1691 2740 4320 .6646 300 .0149 .0289 .0531 .0937 .1594 2625 4202 .6557 350 0133 .0262 .0491 .0879 1517 2532 4105 .6482 400 0121 .0241 .0458 .0832 .1453 .2454 4022 .6419 450 .0111 .0224 .0431 .0792 .1399 .2387 3951 .6363 500 .0103 .0210 .0408 .0758 .1352 .2329 3888 .6314 600 .0090 .0188 .0372 .0703 .1275 .2232 3782 .6229

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question

A time standard was set as 0.20 hour per unit based on the 20th unit produced. Assume the task has a 60 percent learning curve. 

What would be the expected time of the 40th, 80th, and 160th units? 

Use the table below to answer the question. 

 

Unit Improvement Factor
Unit
60%
65%
70%
75%
80%
85%
90%
95%
1
1.0000
1.0000
1.0000
1.0000 1.0000
1.0000 1.0000 1.0000
2
.6000
.6500
.7000
.7500
.8000
.8500
9000
.9500
3
.4450
.5052
5682
.6338
.7021
.7729
.8462
9219
4
3600
4225
4900
.5625
.6400
.7225
.8100
.9025
5
.3054
.3678
4368
5127
.5956
.6857
.7830
.8877
6
.2670
.3284
3977
4754
.5617
.6570
7616
.8758
7
2383
2984
3674
4459
.5345
.6337
7439
.8659
8
2160
.2746
3430
4219
5120
.6141
7290
.8574
9
.1980
2552
3228
.4017
4930
.5974
7161
.8499
10
.1832
2391
3058
3846
.4765
.5828
7047
.8433
12
.1602
2135
2784
3565
.4493
.5584
.6854
.8320
14
.1430
.1940
2572
3344
.4276
.5386
.6696
.8226
16
.1290
.1785
2401
3164
4096
.5220
.6561
.8145
18
.1188
.1659
2260
3013
.3944
.5078
.6445
.8074
20
.1099
.1554
2141
2884
3812
4954
.6342
.8012
22
.1025
.1465
2038
2772
.3697
.4844
.6251
.7955
24
.0961
.1387
.1949
2674
.3595
.4747
.6169
.7904
25
.0933
.1353
.1908
2629
.3548
.4701
.6131
.7880
30
.0815
.1208
.1737
2437
.3346
.4505
5963
7775
35
.0728
.1097
.1605
2286
3184
.4345
.5825
.7687
40
.0660
.1010
.1498
2163
.3050
.4211
.5708
.7611
45
.0605
.0939
.1410
2060
2936
4096
5607
.7545
50
.0560
.0879
.1336
.1972
2838
.3996
.5518
.7486
60
.0489
.0785
.1216
.1828
.2676
.3829
.5367
.7386
70
.0437
.0713
1123
.1715
.2547
.3693
.5243
.7302
80
.0396
.0657
.1049
.1622
2440
.3579
.5137
.7231
90
.0363
.0610
.0987
.1545
.2349
.3482
.5046
.7168
100
.0336
.0572
.0935
.1479
.2271
.3397
.4966
.7112
120
.0294
.0510
.0851
.1371
2141
.3255
4830
.7017
140
.0262
160
10
.0464
.0786
.1287
2038
3139
4718
.6937
.0237
.0427
.0734
.1217
.1952
.3042
.4623
.6869
180
0218
.0397
.0691
1159
.1879
2959
.4541
.6809
200
.0201
.0371
.0655
.1109
.1816
2887
.4469
.6757
250
.0171
.0323
.0584
.1011 .1691
2740
4320
.6646
300
.0149
.0289
.0531
.0937
.1594
2625
4202
.6557
350
0133
.0262
.0491
.0879
1517
2532
4105
.6482
400
0121
.0241
.0458
.0832
.1453
.2454
4022
.6419
450
.0111
.0224
.0431
.0792 .1399
.2387
3951
.6363
500
.0103
.0210
.0408
.0758 .1352
.2329
3888
.6314
600
.0090
.0188
.0372
.0703
.1275
.2232
3782
.6229
Transcribed Image Text:Unit Improvement Factor Unit 60% 65% 70% 75% 80% 85% 90% 95% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 .6000 .6500 .7000 .7500 .8000 .8500 9000 .9500 3 .4450 .5052 5682 .6338 .7021 .7729 .8462 9219 4 3600 4225 4900 .5625 .6400 .7225 .8100 .9025 5 .3054 .3678 4368 5127 .5956 .6857 .7830 .8877 6 .2670 .3284 3977 4754 .5617 .6570 7616 .8758 7 2383 2984 3674 4459 .5345 .6337 7439 .8659 8 2160 .2746 3430 4219 5120 .6141 7290 .8574 9 .1980 2552 3228 .4017 4930 .5974 7161 .8499 10 .1832 2391 3058 3846 .4765 .5828 7047 .8433 12 .1602 2135 2784 3565 .4493 .5584 .6854 .8320 14 .1430 .1940 2572 3344 .4276 .5386 .6696 .8226 16 .1290 .1785 2401 3164 4096 .5220 .6561 .8145 18 .1188 .1659 2260 3013 .3944 .5078 .6445 .8074 20 .1099 .1554 2141 2884 3812 4954 .6342 .8012 22 .1025 .1465 2038 2772 .3697 .4844 .6251 .7955 24 .0961 .1387 .1949 2674 .3595 .4747 .6169 .7904 25 .0933 .1353 .1908 2629 .3548 .4701 .6131 .7880 30 .0815 .1208 .1737 2437 .3346 .4505 5963 7775 35 .0728 .1097 .1605 2286 3184 .4345 .5825 .7687 40 .0660 .1010 .1498 2163 .3050 .4211 .5708 .7611 45 .0605 .0939 .1410 2060 2936 4096 5607 .7545 50 .0560 .0879 .1336 .1972 2838 .3996 .5518 .7486 60 .0489 .0785 .1216 .1828 .2676 .3829 .5367 .7386 70 .0437 .0713 1123 .1715 .2547 .3693 .5243 .7302 80 .0396 .0657 .1049 .1622 2440 .3579 .5137 .7231 90 .0363 .0610 .0987 .1545 .2349 .3482 .5046 .7168 100 .0336 .0572 .0935 .1479 .2271 .3397 .4966 .7112 120 .0294 .0510 .0851 .1371 2141 .3255 4830 .7017 140 .0262 160 10 .0464 .0786 .1287 2038 3139 4718 .6937 .0237 .0427 .0734 .1217 .1952 .3042 .4623 .6869 180 0218 .0397 .0691 1159 .1879 2959 .4541 .6809 200 .0201 .0371 .0655 .1109 .1816 2887 .4469 .6757 250 .0171 .0323 .0584 .1011 .1691 2740 4320 .6646 300 .0149 .0289 .0531 .0937 .1594 2625 4202 .6557 350 0133 .0262 .0491 .0879 1517 2532 4105 .6482 400 0121 .0241 .0458 .0832 .1453 .2454 4022 .6419 450 .0111 .0224 .0431 .0792 .1399 .2387 3951 .6363 500 .0103 .0210 .0408 .0758 .1352 .2329 3888 .6314 600 .0090 .0188 .0372 .0703 .1275 .2232 3782 .6229
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