A time standard was set as 0.20 hour per unit based on the 50th, unit produced. Assume the task has a 90 percent learning curve. Refer to Exhibit 6.4. What would be the expected time of the 100th, 200th, and 400th units? (Round your answers to 2 decimal places.) Unit 111 100th 200th 400th Time hours hours hours

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Ch. 6 Q1
es
A time standard was set as 0.20 hour per unit based on the 50th, unit produced. Assume the task has a 90 percent learning curve.
Refer to Exhibit 6.4.
What would be the expected time of the 100th, 200th, and 400th units? (Round your answers to 2 decimal places.)
Unit
100th
200th
400th
Time
hours
hours
hours
Transcribed Image Text:es A time standard was set as 0.20 hour per unit based on the 50th, unit produced. Assume the task has a 90 percent learning curve. Refer to Exhibit 6.4. What would be the expected time of the 100th, 200th, and 400th units? (Round your answers to 2 decimal places.) Unit 100th 200th 400th Time hours hours hours
Exhibit 6.4
Unit
1
2
3
4
5
6
7
8
9
10
12
14
16
18
20
22
24
25
30
35
40
45
50
60
70
80
90
100
120
140
160
60%
1.0000
6000
180
200
250
300
350
400
450
500
600
700
800
900
1,000
1.200
4450
3600
3054
2670
2383
2160
1980
1832
1602
1430
1290
1188
1099
1,400
1,600
1,800
2,000
2,500
3,000
1025
0961
0933
0815
0728
0660
0605
0560
0489
0437
0396
0363
Improvement Curves: Table of Unit Values
Unit Improvement Factor
65%
70%
1.0000 1.0000
6500
7000
5052
4225
2678
0336
0294
0262
0237
0218
0201
0171
0149
0133
0121
20111
0103
0090
0080
0073
0067
0062
0054
0048
0044
0040
0037
0031
0027
2284
2984
27.46
2552
2391
2135
1940
1785
1659
1554
1465
1387
1353
1208
1097
1010
0939
0879
0785
0713
0657
0610
0572
0510
0464
0427
0397
0371
0323
0289
0262
0241
0224
0210
0188
0171
0157
0146
0137
0122
0111
0102
0095
0089
0077
0069
5682
4900
4368
3977
3674
3430
3228
3058
2784
2572
2401
2260
2141
2038
1949
1908
1737
1605
1498
1410
1336
1216
1123
1049
0987
0935
0851
0786
07:34
0691
0655
0584
0531
0491
0458
0431
75%
1.0000
7500
6338
5625
5127
4754
040B
0372
0344
0321
0302
0286
0260
0240
0225
0211
0200
0178
0162
4459
4219
4017
3846
3565
3344
3164
3013
2884
2772
2674
2629
2437
2286
2163
2000
1972
1828
1715
1622
1545
1479
1371
1287
1217
1159
1109
80%
1.0000
8000
7021
6400
5956
5617
5345
5120
4930
4765
4493
4276
4096
3944
3812
(3697
13595
3548
3346
3184
13050
2936
2838
2676
2547
2440
2349.
2271
2141
12038
1952
1879
1816
1691
1594
1517
1453
1399
1352
1275
1214
1011
0937
0879
0632
0792
0758
0703
0659
0624 1163
0594
1119
0569
1082
0527
1020
0495
0971
0468
0930
0446
0895
0427
0866
0389
0806
0360
0760
85%
10000
8500
7729
7225
6857
6570
6337
6141
5974
5828
5584
5386
5220
5078
4954
4844
4747
4701
4505
4345
4211
4096
3996
3829
13693
3579
3482
3397
3255
3139
3042
2959
2887
2740
2625
2532
2454
2387
2329
2232
2152
2086
2029
1980
1897
1830
1773
1725
1683
1597
1530
90%
1.0000
9000
8462
8100
7830
7616
7439
7290
7161
7047
6854
6696
6561
6445
6342
6251
6169
6131
5963
5825
5708
5607
5518
5367
5243
5137
5046
4966
4830
4718
4623
4541
4469
4320
4202
4105
4022
3951
3888
3782
3694
3620
3556
95%
1.0000
9500
9219
9025
8877
8758
8659
8574
3499
3404
8499
8433
8320
8226
8145
8074
8012
7955
7904
7880
7775
7687
7611
7545
7486
7386
7302
7231
7168
7112
7017
.6937
6869
6809
.6757
6646
.6557
6482
6419
6363
6314
6229
6158
6098
6045
5998
5918
3325
5850
3258 .5793
3200
5743
3149
5698
3044
5605
2961
55:30
Transcribed Image Text:Exhibit 6.4 Unit 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 22 24 25 30 35 40 45 50 60 70 80 90 100 120 140 160 60% 1.0000 6000 180 200 250 300 350 400 450 500 600 700 800 900 1,000 1.200 4450 3600 3054 2670 2383 2160 1980 1832 1602 1430 1290 1188 1099 1,400 1,600 1,800 2,000 2,500 3,000 1025 0961 0933 0815 0728 0660 0605 0560 0489 0437 0396 0363 Improvement Curves: Table of Unit Values Unit Improvement Factor 65% 70% 1.0000 1.0000 6500 7000 5052 4225 2678 0336 0294 0262 0237 0218 0201 0171 0149 0133 0121 20111 0103 0090 0080 0073 0067 0062 0054 0048 0044 0040 0037 0031 0027 2284 2984 27.46 2552 2391 2135 1940 1785 1659 1554 1465 1387 1353 1208 1097 1010 0939 0879 0785 0713 0657 0610 0572 0510 0464 0427 0397 0371 0323 0289 0262 0241 0224 0210 0188 0171 0157 0146 0137 0122 0111 0102 0095 0089 0077 0069 5682 4900 4368 3977 3674 3430 3228 3058 2784 2572 2401 2260 2141 2038 1949 1908 1737 1605 1498 1410 1336 1216 1123 1049 0987 0935 0851 0786 07:34 0691 0655 0584 0531 0491 0458 0431 75% 1.0000 7500 6338 5625 5127 4754 040B 0372 0344 0321 0302 0286 0260 0240 0225 0211 0200 0178 0162 4459 4219 4017 3846 3565 3344 3164 3013 2884 2772 2674 2629 2437 2286 2163 2000 1972 1828 1715 1622 1545 1479 1371 1287 1217 1159 1109 80% 1.0000 8000 7021 6400 5956 5617 5345 5120 4930 4765 4493 4276 4096 3944 3812 (3697 13595 3548 3346 3184 13050 2936 2838 2676 2547 2440 2349. 2271 2141 12038 1952 1879 1816 1691 1594 1517 1453 1399 1352 1275 1214 1011 0937 0879 0632 0792 0758 0703 0659 0624 1163 0594 1119 0569 1082 0527 1020 0495 0971 0468 0930 0446 0895 0427 0866 0389 0806 0360 0760 85% 10000 8500 7729 7225 6857 6570 6337 6141 5974 5828 5584 5386 5220 5078 4954 4844 4747 4701 4505 4345 4211 4096 3996 3829 13693 3579 3482 3397 3255 3139 3042 2959 2887 2740 2625 2532 2454 2387 2329 2232 2152 2086 2029 1980 1897 1830 1773 1725 1683 1597 1530 90% 1.0000 9000 8462 8100 7830 7616 7439 7290 7161 7047 6854 6696 6561 6445 6342 6251 6169 6131 5963 5825 5708 5607 5518 5367 5243 5137 5046 4966 4830 4718 4623 4541 4469 4320 4202 4105 4022 3951 3888 3782 3694 3620 3556 95% 1.0000 9500 9219 9025 8877 8758 8659 8574 3499 3404 8499 8433 8320 8226 8145 8074 8012 7955 7904 7880 7775 7687 7611 7545 7486 7386 7302 7231 7168 7112 7017 .6937 6869 6809 .6757 6646 .6557 6482 6419 6363 6314 6229 6158 6098 6045 5998 5918 3325 5850 3258 .5793 3200 5743 3149 5698 3044 5605 2961 55:30
Expert Solution
Step 1

Learning Rate = 90%

Time Standard set as 0.20 hours based on 50th unit

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