Question

The Mechanical Engineering department has a student team that is des formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20 %. Use this information to determine (a) the time it will take the team to assemble the 10th car (b) the total time required to assemble the first 10 cars. (c) the estimated cumulative average assembly time for the first 10 cars. Solve by hand and by spreadsheet

Answer 1

Given The medical engineering department has a student team that is formula car for national competion. The time required for the team to assemble the first coon is 100 hows. Here's Time Jequired to assemble lan ccer 5100(12) logo.8 / loga cwhere, log 0-8/loga = learning come Ceporent ) = 100 (la)-0,32 = 100 / 12032 = 100/a.a) . 45.25 hows Ary weetin Total time requiered to pooduce x units Tx = ? Zx = k fux) To =100? (4-0 32)=100 (1-0:33a+2_0.332+ -coming +10–0.332) = 631 howy Arywer. The cumulatie average time for xunits ex Cx = Tx/x = T10/10 = 631/10 = 63.1 hower,

spreadshect solution is as below k ___5 N 100 0.8 -0.3a143 comulatie Average commulane Total unit Units time 100 100 100 89.12113 149,134 79.44344 82.9604 6१. 43177 208.8812 4881819 G3.११362 12.8748 342.4314 +4.५8633 59.55684 41.2659 55-16315 ५27.5454 68.57243 5२. 24116 480.00 66. २6823 50.13882 530. 1458 64.26a43 18. 21608 578.3619 Ga.6605 G26. 005 ५३. 6431