3.A student at GC&SU is currently working part-time at a repair shop in Macon.She is assigned to repair 10 appliances that have similar malfunctions.It is estimated that it will take 10 hours for her to fix the first one and she has an 80% learning rate in this type of repairing works.

(The Learning Curve Coefficient Table is attached in the next page) (10 points)

a) What is the time required for her to fix the 3^rd unit? How about the time for the 10^th unit?

b) If the first 6 units is due by the end of the first week and the remaining 4 units will be due on the Thursday (morning) of the 2nd week (assuming the shop opens five days a week and she is working on an 8-hour schedule per-day). Do you believe that she can complete the required works before the two due dates? Or she will need some overtime?

c) If the average labor rate is $10/per hour in this shop, what should be the labor cost for the

shop to charge each unit for this repairing?

Learning Curve Table 75% 80% Unit Time Total Time Unit Time Total Time 1.000 1.000 1.000 1.000 .750 1.750 800 1.800 634 2.384 .702 2.502 -562 2.946 640 3.142 -513 3.459 596 3.738 475 3 934 562 4 229 .446 4.380 534 4.834 427 4 802 512 5 346 402 5.204 493 5.839 385 5 589 477 6 315 370 5.958 462 6.777 357 6 315 449 7 227 .345 6.660 438 7.665 334 6.994 428 8.092 325 7 319 418 8 511 .316 7.635 .410 8.920 309 7 944 402 9322 301 8.245 394 9.716 .295 8.540 387 10.10 20 .288 8.828 381 10.49 21 .283 9.111 .375 10.86 2.2 277 9 388 370 11 23 23 .272 9.660 .364 11.59 24 .267 9.928 359 11.95 25 263 10 19 355 12 31 30 .244 11.45 .335 35 14.02 279 12 62 318 15 64 40 .216 13.72 305 17.19 45 .206 14.77 294 50 18.68 197 15 78 284 20 12 60 .183 17.67 .268 22.89 70 .172 19.43 255 25.47 162 21 09 244 27 96 90 155 22.67 235 30.35 100 148 24.18 227 32.65