Question: Learning Curves Your work for a large contract assembly plant.A new customer has come to you with a product they want 15 units of assembled.The

Learning Curves

Your work for a large contract assembly plant.A new customer has come to you with a product they want 15 units of assembled.The customer estimates that the time to assemble a unit is about 6 hours to assemble each one and is willing to pay you at that rate.You expect that the first unit will take 10 hours and the second one 8 hours.

70% 75% 80% 85% 90% Unit Unit Total Unit Total Unit Total Unit Total Unit Total Number Time Time Time Time Time Time Time Time Time Time 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1,000 1.000 .700 1.700 .750 1.750 .800 1.800 .850 1.850 .900 1.900 568 2.268 634 2.384 .702 2.502 773 2.623 846 2.746 490 2.758 562 2.946 640 3.142 .723 3.345 .810 3.556 437 3.195 513 3.459 596 3.738 686 4.031 .783 4.339 398 3.593 .475 3.934 .562 4.299 .657 4.688 .762 5.101 367 3.960 .446 4.380 534 4.834 634 5.322 .744 5.845 343 4.303 422 4.802 512 5.346 .614 5.936 .729 6.574 323 4.626 402 5.204 .493 5.839 597 6.533 .716 7.290 .306 4.932 385 5.589 .477 6.315 583 7.116 .705 7.994 11 291 5.223 370 5.958 462 6.777 570 7.686 695 8.689 12 .278 5.501 .357 6.315 449 7.227 558 8.244 685 9.374 13 267 5.769 345 6.660 .438 7.665 548 8.792 677 10.052 14 .257 6.026 .334 6.994 428 8.092 539 9.331 670 10.721 15 248 6.274 .325 7.319 .418 8.511 .530 9.861 663 11.384 16 240 6.514 316 7.635 410 8.920 522 10.383 .656 12.040 17 233 6.747 309 7.944 402 9.322 .515 10.898 .650 12.690 18 .226 6.973 .301 8.245 .394 9.716 508 11.405 644 13.334 19 .220 7.192 295 8.540 .388 10.104 501 11.907 .639 13.974 20 .214 7.407 288 8.828 381 10.485 495 12.402 .634 14.608 21 209 7.615 .283 9.111 375 10.860 490 12.892 630 15.237 22 .204 7.819 .277 9.388 .370 11.230 484 13.376 .625 15.862 23 . 199 8.018 .272 9.660 364 11.594 479 13.856 .621 16.483 24 195 8.213 .267 9.928 359 11.954 475 14.331 .617 17.100 25 .191 8.404 .263 10.191 .355 12.309 .470 14.801 613 17.713 26 187 8.591 259 10.449 350 12.659 466 15.267 609 18.323 27 183 8.774 .255 10.704 346 13.005 462 15.728 606 18.929 28 .180 8.954 .251 10.955 342 13.347 458 16.186 .603 19.531 29 . 177 9.131 .247 11.202 .338 13.685 454 16.640 599 20.131 30 174 9.305 .244 11.446 .335 14.020 .450 17.091 .596 20.727

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