Problem 3 (15 Points) Assume that you must estimate the completion time for a task that will be completed 40 times. You perform three trials of the task; the first cycle time is 80.00 minutes, and the third cycle time is 61.83 minutes. The labor cost for performing this task is $125 per hour. a) Determine the learning curve rate. Show your work. b) Estimate the completion time for forty cycles. Instead of calculating the time for each of the forty cycles, you may use the learning curve table provided below to obtain the multiplier, based on the learning curve rate you determined. c) Determine the difference in cost estimates when using (t]140) versus using the learning curve method. Learning Curve Coefficients (Unit Time and Total Time Multipliers) 70% 75% 80% 85% Steady State Unit 477 5 10 15 20 25 30 35 40 Unit Time Total Time ,437 3.195 .306 4.932 .248 6.274 ,214 7.407 .191 8.404 .174 9.305 .160 10.133 150 10.902 Unit Time Total Time 513 3.459 385 5.589 325 7.319 .288 8.828 .263 10.191 .244 11.446 .229 12.618 216 13.723 Unit Time Total Time 596 3.738 6.315 418 8.511 381 10.485 355 12.309 335 14.020 318 15.643 305 17.193 Unit Time Total Time .686 4.031 583 7.116 530 9.861 495 12.402 .470 14.801 .450 17.091 434 19.294 421 21.425 Based on a 1