Question

Question5 1 pts A tailor must make 7 of the same size suits for a client. The first suit took 13.5 hours to make and the last suit took 6.9 hours to make what was the tailor's learning curve % of this run of suits assuming a steady state of production is never reached? Express your answer in % to the nearest 0.1%

Answer 1

Standard equation is T_n = T_1 n^b T_1 = 13.5 T_7 = 13.5 T_7 = 13.5 (7)^b 6.9/13.5 = 7^b 0.511 = 7^b Taking ln on both sides ln(0.511) = b ln(7) b = - 0.345 Also b = ln(p)/ln(2) where p is the learning percentage b = ln(p)/0.693 0.693 times (- 0.345) = ln p ln p = - 0.239 p = e^- 0.239 p = 0.787 so this learning percentage is 78.7 %