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You've just completed a pilot run of 10 units of a major product and found the processing time for each unit was as follows: Use Exhibit 6.4 and Exhibit 6.5 UNIT NUMBER 1 A 5 S 6 6 7 7 8 9 10 TIME (HOURS) 970 640 420 380 320 250 a. According to the pilot run, what would you estimate the learning rate to be? (Do not round Intermediate calculations. Round your answer to the nearest whole percent.) 220 207 190 190 Estimated learning rate Time taken b. Based on (a), how much time would it take for the next 190 units, assuming no loss of learning? (Round your answer to the nearest whole number.) Time taken hours % c. How much time would it take to make the 1,000th unit? (Round your answer to the nearest whole number.) hours

You've just completed a pilot run of 10 units of a major product and found the processing time for each unit was as follows: Use Exhibit 6.4 and Exhibit 6.5 UNIT NUMBER 1 A 5 S 6 6 7 7 8 9 10 TIME (HOURS) 970 640 420 380 320 250 a. According to the pilot run, what would you estimate the learning rate to be? (Do not round Intermediate calculations. Round your answer to the nearest whole percent.) 220 207 190 190 Estimated learning rate Time taken b. Based on (a), how much time would it take for the next 190 units, assuming no loss of learning? (Round your answer to the nearest whole number.) Time taken hours % c. How much time would it take to make the 1,000th unit? (Round your answer to the nearest whole number.) hours

Practical Management Science
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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Ch. 6 Q4
Exhibit 6.4 Unit L 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 60% 1.0000 6000 90 100 120 140 160 180 200 250 300 350 400 450 500 600 700 800 900 1,000 1,200 1,400 1,600 1.800 4450 3600 2054 2670 2383 2160 2,000 2.500 3,000 1980 1832 1602 1430 1290 1188 1099 1025 0961 0933 0815 0728 0660 0605 0560 0489 0437 0396 0363 0336 0294 0262 0237 0218 0201 0171 Improvement Curves: Table of Unit Values 65% 1.0000 0149 0133 0121 0111 0103 0000 0080 0073 0067 0062 0054 0048 0044 0040 0037 0031 0027 6500 5052 4225 3678 2284 2984 2746 2552 2391 2125 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 Unit Improvement Factor 70 % 1.0000 (7000 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 0734 0691 0655 0584 0531 0491 0458 0431 0408 0372 0344 0321 0302 0286 0260 0240 0225 0211 0200 0178 0162 75% 1.0000 7500 6338 5625 5127 4754 4459 4219 4017 3846 2565 3344 3164 3013 2884 2772 2674 2629 2437 2286 2163 2000 1972 1826 80% 1.0000 8000 1 7021 6400 5956 5617 5345 5120 4930 4765 4493 4276 4096 3944 3812 3697 3595 3548 3346 3184 3050 2936 2838 2676 2547 1715 1622 1545 1479 .2271 1371 2141 1287 2038 1217 1952 1159 1879 1109 1816 1011 1691 0937 1594 0879 1517 0632 1453 0792 1399 0758 1352 0703 1275 0659 1214 0624 1163 0594 1119 0569 1082 0527 1020 0495 0971 0468 0930 0446 0895 0427 0866 0389 0906 0360 0760 2440 2349 85% 1.0000 8500 7729 7225 6857 6570 6337 6141 5974 5828 5584 5386 5220 5078 4954 4844 4747 4701 4505 4345 4211 4096 3996 3829 3693 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 95% 1.0000 9500 9219 9025 8877 8758 8659 8574 8499 8433 8320 8226 8145 8074 8012 7955 7904 7880 7775 7687 7611 7545 7486 7386 7302 7231 7168 O 7112 7017 6937 6869 6809 .6757 6646 .6557 6482 6419 6363 6314 6229 6158 6098 6045 5998 5918 3620 3556 3499 3404 3325 5850 3258 5793 3200 5743 3149 5698 3044 5605 2961 5530 PL Р Unit 1 2 3 4 5 6 7 8 9 10 12 222222222882 70 80 90 100 120 140 160 180 200 250 300 350 400 450 500 600 700 60% 1.000 1.600 2.045 2.405 2.710 2.977 3.216 3.432 3.630 3.813- 4.144 4438 4.704 4946 5.171 5.379 5.574 5.668 800 900 1,000 1,200 1,400 1.600 1.800 2.000 2.500 12000 6.097 6478 6.821 7.134 7.422 7.941 8401 8.814 9.191 9.539 10.16 1072 11.21 11.67 12.09 13.01 13.81 14.51 65% 1.000 1.650 2.155 2.578 2.946 3.274 3572 3.847 4,102 4.341 4.790 5.177 5.541 5879 6.195 6.492 23.23 24.06 24.83 26.53 27.99 6.773 6.909 9.114 9.565 10.39 11.13 Cumulative Improvement Factor 70% 75% 1.000 1750 2:384 2946 3459 3.934 4.380 4.802 5204 5.589 6315 8.994 7.635 8.245 8.828 9.388 7.540 9.305 11.45 8.109 10.13 12.72 13.72 8.631 10.90 11.62 12.31 13.57 1474 11.82 12.45 13.03 14.11 15.08 15.97 16.79 17.55 19.28 20.81 22.18 23.44 15.14 15.72 16.26 25.68 17.21 27.67 18.06 29.45 18.82 31.09 19.51 32.60 20.15 21.01 21.30 36.59 22.32 24.60 38.92 41.04 43.00 44.84 48.97 1.000 1.700 52.62 2.268 2.758 3.195 3.593 3.960 4.303 4.626 4.931 5.501 6.026 6.514 6.972 7.407 7.819- 8.213 8.404 15.82 16.83 17.79 19.57 21.20 22.72 24 14 25.48 28.56 31.34 33.89 36.26 38.48 40.58 44.47 48.04 51.36 54.46 57.40 62.85 67.85 9.928 10.19 7249 76.85 80.96 90.39 98.90 1477 15.78 17.67 1943 21:09 22.67 24.18 27.02 29 67 32.17 34 54 36.80 42.05 46.94 51.48 55.75 59.80 63.68 7097 77.37 84.18 90.26 96.07 107.0 117.2 126.8 135.9 144.7 165.0 1837 80% 1.000 1.800 2.502 3.142 3.738 4.299 4834 5.346 5.839 6315 7.227 8092 8.920 9.716 10.48 11.23 11.95 12.31 14.02 15.64 17.19 18.68 20.12 22.87 25.47 27.96 30.35 32.65 27.05 41.22 45.20 49.03 52.72 61.47 69.66 77.43 84.85 91.97 98.85 112.0 124.4 136.3 1477 158.7 1797 199.6 218.6 236.8 254.4 296.1 335.2 85% 1.000 1.850 2.623 3.345 4031 4.688 5.322 5.936 6.533 7.316 8.244 9.331 10.38 11.41 12.40 13.38 14.33 14.80 17.09 19.29 21.43 23.50 25.51 29.41 33.17 36.80 40.32 43.75 50.39 56.78 62.95 68.95 74.79 88.83 102.2 115.1 127.6 139.7 151.5 174.2 196.1 217.3 237.9 257.9 296.6 333.9 369.9 4049 438.9 520.8 598.9 90% 1.000 1.900 2.746 3.556 4339 5.101 5845 6.574 7.290 7.994 9.374 10.72 12.04 13.33 14.61 15.86 17.10 17.71 20.73 2367 26.54 29.37 32.14 37.57 42.87 48.05 53.14 58.14 67.93 77.46 86.80 95.96 105.0 126.9 148.2 169.0 189.3 209.2 228.8 267,1 304.5 341.0 376.9 4122 481.2 5484 614.2 678.8 7423 897.0 1047 95% 1.000 1950 2.872 3.774 4662 5.538 6.404 7.261 8111 8.955 10.62 12.27 1391 15.52 17.13 18.72 20.31 21.10 25.00 28.86 32.68 36.47 40.22 47.65 54.99 62.25 69.45 76.59 90.71 104.7 118.5 132.1 145.7 179.2 212.2 244 8 277.0 309.0 340.6 403.3 465.3 526.5 587.2 647.4 766.6 884.2 1001 1116 1230 1513 1791
Transcribed Image Text:Exhibit 6.4 Unit L 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 60% 1.0000 6000 90 100 120 140 160 180 200 250 300 350 400 450 500 600 700 800 900 1,000 1,200 1,400 1,600 1.800 4450 3600 2054 2670 2383 2160 2,000 2.500 3,000 1980 1832 1602 1430 1290 1188 1099 1025 0961 0933 0815 0728 0660 0605 0560 0489 0437 0396 0363 0336 0294 0262 0237 0218 0201 0171 Improvement Curves: Table of Unit Values 65% 1.0000 0149 0133 0121 0111 0103 0000 0080 0073 0067 0062 0054 0048 0044 0040 0037 0031 0027 6500 5052 4225 3678 2284 2984 2746 2552 2391 2125 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 Unit Improvement Factor 70 % 1.0000 (7000 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 0734 0691 0655 0584 0531 0491 0458 0431 0408 0372 0344 0321 0302 0286 0260 0240 0225 0211 0200 0178 0162 75% 1.0000 7500 6338 5625 5127 4754 4459 4219 4017 3846 2565 3344 3164 3013 2884 2772 2674 2629 2437 2286 2163 2000 1972 1826 80% 1.0000 8000 1 7021 6400 5956 5617 5345 5120 4930 4765 4493 4276 4096 3944 3812 3697 3595 3548 3346 3184 3050 2936 2838 2676 2547 1715 1622 1545 1479 .2271 1371 2141 1287 2038 1217 1952 1159 1879 1109 1816 1011 1691 0937 1594 0879 1517 0632 1453 0792 1399 0758 1352 0703 1275 0659 1214 0624 1163 0594 1119 0569 1082 0527 1020 0495 0971 0468 0930 0446 0895 0427 0866 0389 0906 0360 0760 2440 2349 85% 1.0000 8500 7729 7225 6857 6570 6337 6141 5974 5828 5584 5386 5220 5078 4954 4844 4747 4701 4505 4345 4211 4096 3996 3829 3693 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 95% 1.0000 9500 9219 9025 8877 8758 8659 8574 8499 8433 8320 8226 8145 8074 8012 7955 7904 7880 7775 7687 7611 7545 7486 7386 7302 7231 7168 O 7112 7017 6937 6869 6809 .6757 6646 .6557 6482 6419 6363 6314 6229 6158 6098 6045 5998 5918 3620 3556 3499 3404 3325 5850 3258 5793 3200 5743 3149 5698 3044 5605 2961 5530 PL Р Unit 1 2 3 4 5 6 7 8 9 10 12 222222222882 70 80 90 100 120 140 160 180 200 250 300 350 400 450 500 600 700 60% 1.000 1.600 2.045 2.405 2.710 2.977 3.216 3.432 3.630 3.813- 4.144 4438 4.704 4946 5.171 5.379 5.574 5.668 800 900 1,000 1,200 1,400 1.600 1.800 2.000 2.500 12000 6.097 6478 6.821 7.134 7.422 7.941 8401 8.814 9.191 9.539 10.16 1072 11.21 11.67 12.09 13.01 13.81 14.51 65% 1.000 1.650 2.155 2.578 2.946 3.274 3572 3.847 4,102 4.341 4.790 5.177 5.541 5879 6.195 6.492 23.23 24.06 24.83 26.53 27.99 6.773 6.909 9.114 9.565 10.39 11.13 Cumulative Improvement Factor 70% 75% 1.000 1750 2:384 2946 3459 3.934 4.380 4.802 5204 5.589 6315 8.994 7.635 8.245 8.828 9.388 7.540 9.305 11.45 8.109 10.13 12.72 13.72 8.631 10.90 11.62 12.31 13.57 1474 11.82 12.45 13.03 14.11 15.08 15.97 16.79 17.55 19.28 20.81 22.18 23.44 15.14 15.72 16.26 25.68 17.21 27.67 18.06 29.45 18.82 31.09 19.51 32.60 20.15 21.01 21.30 36.59 22.32 24.60 38.92 41.04 43.00 44.84 48.97 1.000 1.700 52.62 2.268 2.758 3.195 3.593 3.960 4.303 4.626 4.931 5.501 6.026 6.514 6.972 7.407 7.819- 8.213 8.404 15.82 16.83 17.79 19.57 21.20 22.72 24 14 25.48 28.56 31.34 33.89 36.26 38.48 40.58 44.47 48.04 51.36 54.46 57.40 62.85 67.85 9.928 10.19 7249 76.85 80.96 90.39 98.90 1477 15.78 17.67 1943 21:09 22.67 24.18 27.02 29 67 32.17 34 54 36.80 42.05 46.94 51.48 55.75 59.80 63.68 7097 77.37 84.18 90.26 96.07 107.0 117.2 126.8 135.9 144.7 165.0 1837 80% 1.000 1.800 2.502 3.142 3.738 4.299 4834 5.346 5.839 6315 7.227 8092 8.920 9.716 10.48 11.23 11.95 12.31 14.02 15.64 17.19 18.68 20.12 22.87 25.47 27.96 30.35 32.65 27.05 41.22 45.20 49.03 52.72 61.47 69.66 77.43 84.85 91.97 98.85 112.0 124.4 136.3 1477 158.7 1797 199.6 218.6 236.8 254.4 296.1 335.2 85% 1.000 1.850 2.623 3.345 4031 4.688 5.322 5.936 6.533 7.316 8.244 9.331 10.38 11.41 12.40 13.38 14.33 14.80 17.09 19.29 21.43 23.50 25.51 29.41 33.17 36.80 40.32 43.75 50.39 56.78 62.95 68.95 74.79 88.83 102.2 115.1 127.6 139.7 151.5 174.2 196.1 217.3 237.9 257.9 296.6 333.9 369.9 4049 438.9 520.8 598.9 90% 1.000 1.900 2.746 3.556 4339 5.101 5845 6.574 7.290 7.994 9.374 10.72 12.04 13.33 14.61 15.86 17.10 17.71 20.73 2367 26.54 29.37 32.14 37.57 42.87 48.05 53.14 58.14 67.93 77.46 86.80 95.96 105.0 126.9 148.2 169.0 189.3 209.2 228.8 267,1 304.5 341.0 376.9 4122 481.2 5484 614.2 678.8 7423 897.0 1047 95% 1.000 1950 2.872 3.774 4662 5.538 6.404 7.261 8111 8.955 10.62 12.27 1391 15.52 17.13 18.72 20.31 21.10 25.00 28.86 32.68 36.47 40.22 47.65 54.99 62.25 69.45 76.59 90.71 104.7 118.5 132.1 145.7 179.2 212.2 244 8 277.0 309.0 340.6 403.3 465.3 526.5 587.2 647.4 766.6 884.2 1001 1116 1230 1513 1791
You've just completed a pilot run of 10 units of a major product and found the processing time for each unit was as follows: Use Exhibit 6.4 and Exhibit 6.5. UNIT NUMBER 1 2 3 4 5 6 19 7 8 9 10 TIME (HOURS) 970 640 420 380 320 250 220 a. According to the pilot run, what would you estimate the learning rate to be? (Do not round Intermediate calculations. Round your answer to the nearest whole percent.) Time taken 207 190 190 Estimated learning rate Time taken b. Based on (a), how much time would it take for the next 190 units, assuming no loss of learning? (Round your answer to the nearest whole number.) hours % c. How much time would It take to make the 1,000th unit? (Round your answer to the nearest whole number.) hours
Transcribed Image Text:You've just completed a pilot run of 10 units of a major product and found the processing time for each unit was as follows: Use Exhibit 6.4 and Exhibit 6.5. UNIT NUMBER 1 2 3 4 5 6 19 7 8 9 10 TIME (HOURS) 970 640 420 380 320 250 220 a. According to the pilot run, what would you estimate the learning rate to be? (Do not round Intermediate calculations. Round your answer to the nearest whole percent.) Time taken 207 190 190 Estimated learning rate Time taken b. Based on (a), how much time would it take for the next 190 units, assuming no loss of learning? (Round your answer to the nearest whole number.) hours % c. How much time would It take to make the 1,000th unit? (Round your answer to the nearest whole number.) hours
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