Question

Suad? Alwan, the purchasing agent for Dubai? Airlines, has found that the fifth plane it needed from a Brazilian manufacturer took that firm 16,000 hours to produce. Using an 80?% learning curve and a $20?-per-hour labor? charge, Suad wishes to calculate what twelve additional planes should cost.??

Time required for the twelfth unit? =

cost for the 12th unit=

Time required for the thirteenth unit? =

cost for thirteenth unit=

Time required for the fourteen unit=

cost of the fourteenth unit=

tme required for the fifteenth unit=

cost of the 15th unit=

combined time for all 4 planes=

combined cost of all 4 planes=

Answer 1

Learning factor = ln(80%)/ln 2 = ln(0.8)/ln 2 = -0.321

Time to taken to complete first plane = 16000/(5^-0.321) = 26821.89 or 26822 hrs

Time to taken to complete 12th plane = 26822 * (12^-0.321)= 12080.19 or 12080 hrs
Time to taken to complete 13th plane = 26822 * (13^-0.321)= 11773.76 or 11774 hrs
Time to taken to complete 14th plane = 26822 * (14^-0.321)= 11496.98 or 11497 hrs
Time to taken to complete 15th plane = 26822 * (15^-0.321)= 11245.16 or 11245 hrs

Cost for 12th plane = 20*12080 = $241600
Cost for 12th plane = 20*11774 = $235480
Cost for 12th plane = 20*11497 = $229940
Cost for 12th plane = 20*11245 = $224900