Question: a.Based on a learning percentage of 60%, how much time would it take f

Question

Question: a.Based on a learning percentage of 60%, how much time would it take for the next 190 units, assuming no loss of learning? This means the TOTAL time for 190 units. PLEASE SHOW ALL WORK. THE ANSWER IS ABOUT 8000 hours. Please do not post solution if answer if not close to that number.

You have just completed a pilot run of 10 units of a major product and found the processing time for each unit was as follows:

Unit Number

Time (Hours)

1

970

2

640

3

420

4

380

5

320

6

250

7

220

8

207

9

190

10

190

Unit Number

Time (Hours)

1

970

2

640

3

420

4

380

5

320

6

250

7

220

8

207

9

190

10

190

Explanation / Answer

The formula is:

Yx = K*x^log of "b" with base 2

where

The table made below, using the above formula:

Thus i am getting a total of 11,523 hours for making 190 units.

Unit number (x) Time K log of "b" with base 2 b (learning) x^log of "b" with base 2 K*x^log of "b" with base 2 1 970 970 -0.736965594 0.6 1 970 2 640 0.6 582 3 420 0.445018485 431.6679306 4 380 0.36 349.2 5 320 0.305409931 296.2476335 6 250 0.267011091 259.0007583 7 220 0.238337193 231.1870776 8 207 0.216 209.52 9 190 0.198041452 192.1002085 10 190 0.183245959 177.7485801 11 0.170816343 165.6918532 12 0.160206655 155.400455 13 0.151029601 146.4987131 14 0.143002316 138.7122465 15 0.135913065 131.8356731 16 0.1296 125.712 17 0.123937143 120.2190284 18 0.118824871 115.2601251 19 0.114183301 110.7578016 20 0.109947575 106.649148 21 0.106064457 102.882523 22 0.102489806 99.4151119 23 0.099186699 96.21109789 24 0.096123993 93.240273 25 0.093275226 90.47696941 26 0.090617761 87.89922787 27 0.088132107 85.4881438 28 0.08580139 83.22734792 29 0.083610918 81.10259024 30 0.081547839 79.10140384 31 0.079600857 77.21283124 32 0.07776 75.4272 33 0.07601643 73.73593749 34 0.074362286 72.13141706 35 0.072790546 70.6068295 36 0.071294923 69.15607507 37 0.069869765 67.77367238 38 0.06850998 66.45468096 39 0.067210964 65.19463539 40 0.065968545 63.98948883 41 0.064778932 62.8355645 42 0.063638674 61.72951382 43 0.062544619 60.66828012 44 0.061493884 59.64906714 45 0.060483826 58.66931151 46 0.059512019 57.72665873 47 0.058576229 56.81894203 48 0.057674396 55.9441638 49 0.056804618 55.1004792 50 0.055965136 54.28618165 51 0.05515432 53.49968992 52 0.054370656 52.73953672 53 0.053612741 52.0043585 54 0.052879264 51.29288628 55 0.052169008 50.60393751 56 0.051480834 49.93640875 57 0.050813679 49.28926908 58 0.050166551 48.66155414 59 0.049538516 48.0523608 60 0.048928703 47.4608423 61 0.048336293 46.88620387 62 0.047760514 46.32769874 63 0.047200644 45.78462455 64 0.046656 45.25632 65 0.04612594 44.74216192 66 0.045609858 44.24156249 67 0.045107182 43.75396674 68 0.044617371 43.27885024 69 0.044139914 42.81571703 70 0.043674328 42.3640977 71 0.043220152 41.92354755 72 0.042776954 41.49364504 73 0.04234432 41.07399024 74 0.041921859 40.66420343 75 0.0415092 40.26392387 76 0.041105988 39.87280857 77 0.040711888 39.49053124 78 0.040326579 39.11678123 79 0.039949755 38.75126261 80 0.039581127 38.3936933 81 0.039220417 38.04380425 82 0.038867359 37.7013387 83 0.038521703 37.36605147 84 0.038183204 37.03770829 85 0.037851634 36.71608523 86 0.037526771 36.40096807 87 0.037208404 36.09215185 88 0.03689633 35.78944028 89 0.036590356 35.49264537 90 0.036290296 35.20158691 91 0.035995971 34.91609212 92 0.035707212 34.63599524 93 0.035423853 34.36113719 94 0.035145737 34.09136522 95 0.034872714 33.82653259 96 0.034604637 33.56649828 97 0.034341368 33.31112673 98 0.034082771 33.06028752 99 0.033828717 32.8138552 100 0.033579081 32.57170899 101 0.033333745 32.33373258 102 0.033092592 32.09981395 103 0.03285551 31.86984513 104 0.032622394 31.64372203 105 0.032393138 31.4213443 106 0.032167644 31.2026151 107 0.031945815 30.98744099 108 0.031727559 30.77573177 109 0.031512784 30.56740032 110 0.031301405 30.3623625 111 0.031093337 30.16053701 112 0.0308885 29.96184525 113 0.030686816 29.76621123 114 0.030488208 29.57356145 115 0.030292603 29.3838248 116 0.03009993 29.19693249 117 0.029910122 29.01281788 118 0.02972311 28.83141648 119 0.029538831 28.65266582 120 0.029357222 28.47650538 121 0.029178223 28.3028765 122 0.029001776 28.13172232 123 0.028827822 27.96298773 124 0.028656309 27.79661925 125 0.02848718 27.63256502 126 0.028320386 27.47077473 127 0.028155876 27.31119952 128 0.0279936 27.153792 129 0.027833511 26.99850611 130 0.027675564 26.84529715 131 0.027519713 26.69412168 132 0.027365915 26.5449375 133 0.027214127 26.39770357 134 0.027064309 26.25238004 135 0.026916421 26.10892813 136 0.026770423 25.96731014 137 0.026626278 25.8274894 138 0.026483949 25.68943022 139 0.0263434 25.55309789 140 0.026204597 25.41845862 141 0.026067505 25.28547951 142 0.025932091 25.15412853 143 0.025798324 25.0243745 144 0.025666172 24.89618703 145 0.025535605 24.76953652 146 0.025406592 24.64439414 147 0.025279105 24.52073179 148 0.025153116 24.39852206 149 0.025028596 24.27773825 150 0.02490552 24.15835432 151 0.024783861 24.04034488 152 0.024663593 23.92368514 153 0.024544692 23.80835096 154 0.024427133 23.69431875 155 0.024310892 23.58156549 156 0.024195947 23.47006874 157 0.024082275 23.35980656 158 0.023969853 23.25075757 159 0.023858661 23.14290084 160 0.023748676 23.03621598 161 0.023639879 22.93068304 162 0.02353225 22.82628255 163 0.023425769 22.72299547 164 0.023320416 22.62080322 165 0.023216173 22.51968761 166 0.023113022 22.41963088 167 0.023010944 22.32061566 168 0.022909923 22.22262498 169 0.02280994 22.12564221 170 0.022710981 22.02965114 171 0.022613027 21.93463586 172 0.022516063 21.84058084 173 0.022420073 21.74747089 174 0.022325042 21.65529111 175 0.022230956 21.56402695 176 0.022137798 21.47366417 177 0.022045555 21.38418881 178 0.021954214 21.29558722 179 0.021863759 21.20784603 180 0.021774177 21.12095214 181 0.021685456 21.03489274 182 0.021597583 20.94965527 183 0.021510544 20.86522742 184 0.021424327 20.78159714 185 0.02133892 20.69875263 186 0.021254312 20.61668231 187 0.02117049 20.53537485 188 0.021087442 20.45481913 189 0.021005159 20.37500426 190 0.020923628 20.29591955 Total 11523.94644

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